hpcalc.org - HP Prime Archive

HP Prime Math Applications

The first size listed is the downloaded file size and the second size listed is the size on the calculator.

There are 241 files totaling 20677KB in this category.

1D Kinematics Solver 1.00   (details) Prime ENG   385KB/64KB
ScreenshotEducational App allowing one dimensional kinematics problems to be entered, solved using the standard kinematics formulae, and visualized as vertical or horizontal motion problems via a simple graphical representation. Includes PDF documentation.
By Steve Wright. 2020/09/30

2D Covariance, Ellipse Geodesy   (details) Prime ENG   5KB/15KB
Calculates 2D Covariance matrix and ellipse with all elements.
Author unknown. 2021/12/31

Advanced Boolean Functions   (details) Prime ENG   44KB/6KB
A set of functions for doing advanced Boolean operations, beyond what the calculator has built-in: NAND, NOR, XNOR, and IMPL.
By Eddie W. Shore. 2020/04/12

Airy   (details) Prime ENG   16KB/5KB
ScreenshotCalculates the Airy functions, Ai and Bi.
Author unknown. 2017/06/01

ANOVA   (details) Prime ENG   11KB/5-47KB
ANOVA functions, with separate functions for one-way, two-way, and regression analysis.
By Salvo Micciché (salvomic). 2015/08/20

Area by Quadratic Splines   (details) Prime ENG   3KB/3KB
Calculates the area under the curve described by the set of points (x_n, y_n). The points are connected, in groups of three, by quadratic splines. Thus, points (x1, y1), (x2, y2), and (x3, y3) are connected by a quadratic spline, (x3, y3), (x4, y4), (x5, y5) are connected by another quadratic spline, and so on.
By Eddie W. Shore. 2017/12/17

Area Calc   (details) Prime POR   43KB/12KB
ScreenshotProgram that demonstrates using the MENU touch screen function to calculate the area of various polygons -- square, rectangle, circle, triangle, and diamond.
By João Leonardo Rozsas. 2016/08/03

Assigned Variables and Batch Purge for CAS   (details) Prime ENG   23KB/7KB
ScreenshotThree CAS utility functions. Two of them, varslist1() and varslist2(), identify assigned variables, showing type and value. The third can be used to batch purge single-character lower-case variables.
Author unknown. 2019/10/25

AXL   (details) Prime ENG   1KB/1KB
An attempt to duplicate the functionality of the AXL command in the 50g.
By Hege Gabert. 2013/10/05

Baillie-PSW Primality Test Variant 1.1   (details) Prime ENG   155KB/6KB
The Baillie-BPSW Primality Test is a probabilistic algorithm to determine the primality of a given integer up to several hundred decimal digits. This implementation is a fast efficient variant of that algorithm that has no known pseudoprimes.
By Jim Cullen. 2021/04/10

Base 10 - Base 12 Conversions   (details) Prime ENG   3KB/4KB
Converts between Base 10 and Base 12.
By Eddie W. Shore. 2017/02/11

Base Conversion   (details) Prime ENG   3KB/2KB
This program will convert between any base, with the user being prompted for the required output base. Numbers without # are treated as decimal. Numbers with # but without explicit type are treated as per system setting for integers.
By Steve Tuc. 2016/08/06

Base Conversion   (details) Prime ENG   3KB/8KB
ScreenshotPerforms base conversions, including fractional parts.
By Han Duong (HPSolo). 2017/02/11

BASEDEC/DECBASE   (details) Prime ENG   4KB/6KB
A pair of programs which convert numbers back and forth between decimal and any arbitrary base up to base 36.
By Eddie W. Shore. 2019/12/29

Bernoulli Numbers 1.0   (details) Prime ENG   16KB/3KB
Calculates the Bernoulli numbers and the sum of powers polynomial.
By Norberto Presser. 2020/12/29

Bernoulli's Differential Equation 1.4   (details) Prime ENG   2KB/3KB
ScreenshotFinds the solution to Bernoulli's Differential Equation given as: y' + g(x)*y =(x)*y^n, calculates the constant of integration C for any initial condition y(x0) = 0, if desired, and depicts the plot of the curve of y(x).
By Claus Martin Dachselt. 2018/09/09

Bessel Function Second Kind   (details) Prime ENG   7KB/21KB
ScreenshotProgram to calculate the second kind Bessel function of integer order N, for any REAL X, using the function BESSY(N,X).
By Tom Lake. 2017/10/31

Bessell   (details) Prime ENG   7KB/1KB
ScreenshotCalculates the Bessel function of the first kind. Two different approaches are shown.
By Eddie W. Shore and others. 2016/08/06

Best Regression Fit   (details) Prime ENG   5KB/4-5KB
Compares a set of regressions to determine a best fit, simulating a feature from the 48 and 49/50 series calculators. It compares the correlations of the linear, logarithmic, exponential, and power regression models. Includes a separate version that adds inverse, simple logistic, simple quadratic, and square root.
By Eddie W. Shore. 2017/11/05

BESTFIT3   (details) Prime ENG   3KB/5KB
Inspired by Best Regression Fit, this calculates the best fit, returning the best Rsqr value, the power of best Y transformation (0 means ln(y)), the power of best X transformation (0 means ln(x)), the best slope, the best intercept, the minimum X value, the maximum X value, the minimum Y value, and the maximum Y value.
By Namir Shammas. 2017/12/28

Binary Conversions   (details) Prime ENG   4KB/2-5KB
Two conversion programs, one which takes a real number, x, and decomposes it to the form of x = 2 * (1 + n)^p, and the other which converts any real number in base 10 to base 2, including non-integers and negative numbers, and the result is displayed as a string.
By Eddie W. Shore. 2020/09/30

Bisection 1.0.1   (details) Prime ENG   585KB/1KB
There are numerous algorithms that calculate the roots of single-variable nonlinear functions. The most popular of such algorithms is Newton's method. The slowest and simplest root seeking algorithm is the Bisection method. This method has the user select an interval that contains the sought root. The method iteratively shrinks the root-bracketing interval to zoom in on the sought root.
By Namir Shammas. 2014/01/11

BLAS 0.1   (details) Prime ENG   13KB/35KB
Basic Linear Algebra Subprograms, which implements most of the BLAS Level 1 functions in single precision.
By Stephen Lewkowicz (G1CMZ). 2019/09/11

Bolt Pattern   (details) Prime ENG   3KB/1KB
Calculates a bolt pattern given X (center, X coordinate), Y (center, Y coordinate), N (number of bolts), and D (diameter of the circle). No angle of rotation is assumed.
By Eddie W. Shore. 2015/08/20

Boolean   (details) Prime   6KB/23KB
ScreenshotBuilds truth tables for Boolean expressions. In Russian.
By Vlad A.B. (Vlad_AB). 2017/02/15

Calculations with 3-Dimensional Vectors   (details) Prime ENG   6KB/2-12KB
A series of programs for working with three dimensional vectors, including RECT2SPH (rectangular to Spherical Coordinates), SPH2RECT (spherical Coordinates to Rectangular Coordinates), LIN3DIST (linear distance between coordinates), SPH3DIST (spherical distance between coordinates), VANGLE (angle between two coordinates), and ROT3X, ROT3Y, and ROT3Z (which rotate the three-dimensional vector [x, y, z] with respect to the x-axis (ax), respect to the y-axis (ay), and respect to the z-axis (az), respectively).
By Eddie W. Shore. 2017/02/11

Cálculo de Área, Volumen, Inercia, Centroides 1.0   (details) Prime ESP   5KB/62KB
ScreenshotCalculates the area, volume, moment of inertia, and centroid, with a list of figures to choose from.
By Arnoldo José París Monagas. 2017/12/28

Carmichael Numbers   (details) Prime ENG   4KB/1-2KB
Tests whether an integer n qualifies as a Carmichael number based on the Korselt’s Criterion: 1. n is a positive, composite integer. That is, n can be factored into a multiplication of prime numbers. 2. n is square-free. 3. For each prime factor p dividing n (not 1 or n), the following is true: (p-1) divides (n-1) evenly (without fraction).
By Eddie W. Shore and others. 2020/05/03

Casio-Style ENG Button   (details) Prime ENG   6KB/5-8KB
Simulates the ENG button from Casio calculators, which displays numbers in engineering format and converts the exponent (for example, xxxE3 to xxxE6, xxxE6 to xxxE9, or reverse).
Unknown original author and Salvo Micciché (salvomic). 2017/12/17

CC3D   (details) Prime ENG   57KB/18KB
Six short programs to convert coordinates in three dimensions, among the three coordinate systems: rectangular, cylindrical and spherical.
Author unknown. 2017/02/11

Chebyshev Approximations of an Analytic Function   (details) Prime ENG   6KB/17KB
Demonstrates the procedures for calling several Chebyshev subroutines. These subroutines can be used to approximate the integral, derivative, and function value of a user-defined analytic function.
By C. Deagle, Jr.. 2023/05/28

Chi Square   (details) Prime ENG   3KB/6KB
Calculates the chi2 test having only the variance s^2 and σ^2.
By Salvo Micciché (salvomic). 2015/08/20

Circle Arc Parameters   (details) Prime ENG   3KB/15KB
ScreenshotGive any two of the seven parameters associated with circles and chords, the other five parameters are calculated. Column A gives the seven variables definitions. Columns B thru H hole one of the variables each. As with all of the author's spreadsheets, the blue text cells are the data input cells and the red text cells are the calculated output cells.
By Jim B. Williams. 2020/01/16

Circle, Secant, Tangent   (details) Prime ENG   95KB/8KB
ScreenshotBeing given a circle C described by its center (xM,yM) and radius r in combination with a point P0(x0,y0) outside, Pc(xc,yc) inside or a secant defined by f(x), this CAS-program finds characteristic items like tangents T1,T2, tangential points P1, P2, chord between P1 and P2 and some more quantities.
By Claus Martin Dachselt. 2019/02/11

CLPX   (details) Prime FRA   1KB/1KB
ScreenshotDoes complex number calculations.
By Mickaël Nicotera. 2017/04/27

Cluster Analysis   (details) Prime ENG   6KB/10KB
Uses K-Means-method to generate clusters for cluster analysis. Uses Euclidian distances and centroid method. Input is a data matrix in matrix M3, whereas the rows are the elements and the columns are the variables. If you have the data matrix on your computer (e.g. in Excel) you can copy it to the spreadsheet application in the Prime and from there to the matrix using the connectivity software.
By Raimund Wildner. 2019/12/29

Complex CAS   (details) Prime ENG   4KB/1KB
An initial version of a library of complex functions, including the argument of a complex number given in Cartesian form (x,y) and conversion from polar to Cartesian form.
Author unknown. 2015/08/20

Complex Number Arithmetic and Lambert Function   (details) Prime ENG   3KB/3-6KB
Two sample Python programs, one which performs the four arithmetic functions on two complex numbers, and the other which approximates the Lambert W function, estimating w given complex number z using Newtons Method.
By Eddie W. Shore. 2021/07/30

Complex Prime Number Test   (details) Prime ENG   2KB/1KB
Tests whether a complex number is a prime number. Of course, every number on the HP Prime is prime!
By Eddie W. Shore. 2015/08/20

Condition Number of a Function   (details) Prime ENG   3KB/2KB
Returns the Condition number for a function f(x), defined as: Cond = abs( x * d/dx f(x) / f(x) ).
By Eddie W. Shore. 2020/04/12

Cone Properties   (details) Prime ENG   2KB/6KB
ScreenshotGiven cone diameter and cone height, the other eight properties are calculated. As with all of my spreadsheets, the blue text cells are the data input cells and the red text cells are the calculated output cells.
By Jim B. Williams. 2020/01/16

Congruence Equations   (details) Prime ENG   2KB/1KB
Solves congruence equations.
By Eddie W. Shore. 2014/10/22

Conic Section   (details) Prime ENG   7KB/17KB
Calculates something with the conic section.
Author unknown. 2018/05/01

Conic Sections - Equation of 2nd Order 1.03   (details) Prime ENG   23KB/12KB
ScreenshotFinds the type and characteristic items of conic sections, if the general equation of 2nd order is given in the form: a0*x² + b0*x*y + c0*y² + d0*x + e0*y + f0 = and draws the plot after calculation.
By Claus Martin Dachselt. 2019/04/02

Control Systems Stability   (details) Prime ENG   3KB/3KB
ScreenshotFor control systems stability, this will give you the Routh-Hurwitz Matrix = M25, though it will not tell you how many poles lie in the left/right planes.
Author unknown. 2016/08/04

Coordinate Conversion   (details) Prime ENG   2KB/2KB
Performs coordinate conversions between rectangular, cylindrical, and spherical.
By Eddie W. Shore. 2016/08/03

Coordinate Converter 1.2   (details) Prime ENG   4KB/15KB
Converts coordinates between different systems. For example, it will convert between X=8 Y=6 Z=4 in rectangular and 10 36.87 4 in cylindrical and 10.77 36.87 68.20 in spherical.
By Bernard Michaud. 2016/08/06

Coordinate Converter Ultimate   (details) Prime ENG   5KB/9KB
ScreenshotYet another converter which when one system is entered(Cart., Cyl. or Sph), the other two system are simultaneously converted and all three system are displayed along with the graph showing the position of each variables on the graph.
By Bernard Michaud. 2017/02/11

Coordinates Converter 1.0   (details) Prime ENG   169KB/18KB
ScreenshotConverts between rectangular, cylindrical, and spherical coordinates. This program has a restriction where one needs a unique set of coordinates for each point. Restricting the radius to be non-negative (ρ ≥ 0), the azimuth 'θ' to lie in a specific interval spanning 360° or 2π, such as (-180°,+180°] or (-π,+π] and inclination 'φ' to specific a interval spanning 180° or π, such as [0°,180°] or [0,π].
By Gustavo Madureira. 2016/08/02

Cosine Regression   (details) Prime ENG   2KB/3KB
Attempts to fit data to the curve Y = A*cos(C*(X-D))+B. The user will provide the x-data, y-data, and the period of the data. Radians mode will be used.
By Eddie W. Shore. 2017/07/28

Costs, Return, Profit 1.01   (details) Prime ENG   415KB/12KB
ScreenshotFrom defined preconditions the program finds the function of return R(x) (linear or quadratic function), the function of costs C(x) =*x^3 + b*x^2 +c*x + d and calculates characteristic properties of both of them and the profit function P(x) =(x)-C(x).
By Claus Martin Dachselt. 2021/04/10

Cubic Spline "Fit" and Interpolation of Tabular Data   (details) Prime ENG   33KB/24KB
Demonstrates how to interact with cubic spline subroutines which "fit" and interpolate two-dimensional tabular data of the form y = f(x).
By C. Deagle, Jr.. 2023/05/14

Curvature   (details) Prime ENG   3KB/4KB
Calculates the curvature of functions, y(x), polar functions, r(t) (t: Θ), and parametric functions, x(t), y(t).
By Eddie W. Shore. 2023/05/14

Curve Calculator   (details) Prime ENG   9KB/30KB
ScreenshotHorizontal and vertical curve calculator where you enter the curve data you have and let it calculate the rest. If one of your inputs is degree curve it will prompt for chord or arc definition. After it calculates the curve data you press OK or "Enter" to bring up the next screen with the areas.
By C.D. Dodds. 2017/02/11

Dec2Frac   (details) Prime ENG   3KB/1KB
Converts decimals to fractions.
By Namir Shammas. 2014/10/22

Decimal Period of 1/X in Base Y   (details) 49/50 Prime ENG   4KB/1-2KB
A set of programs to calculate the Decimal Period of 1/X in Base Y or the Multiplicative Order of Y (mod X). Includes a version for the Prime as well as both a User RPL and System RPL version for the 49/50 series.
By Joseph K. Horn, Gerald Hillier, and Thomas Ritschel. 2018/01/24

Decimal to Any Base   (details) Prime ENG   3KB/4KB
Two programs that allow conversion of integers from decimal to any designated base. Integers used in base other than 10 are presented in list format. Each digit is separate and listed in order of descending place value.
By Eddie W. Shore. 2017/02/11

Degree of a Polynomial   (details) Prime ENG   2KB/1KB
A more complete version of the degree command. The degree command tests a single variable, defaulted to x if no variable is specified. This CAS program calculates the degree of a polynomial, considering four variables: x, y, z, and t. Combinations of these four variables, such as x*y, x*y*z, and t*z are also considered.
By Eddie W. Shore. 2016/08/06

Degrees/Radians/Gradians   (details) Prime ENG   2KB/4KB
Handy converter between Degrees, Radians and Gradians.
By Bernard Michaud. 2018/03/11

Delta trinôme   (details) Prime FRA   2KB/4KB
ScreenshotTable of changes and delta trinomial program.
By Mickaël Nicotera. 2013/10/05

Differential Equation of 4th and 3rd Order, Part 1 1.03   (details) Prime ENG   1153KB/15KB
ScreenshotFinds the solution y(x) = y_hom + y_part to the differential equation (D.E.) of 4th order a*y^(4) + b*y''' + c*y'' + d*y' + e*y = g(x) or of 3rd order b*y''' + c*y'' + d*y' + e*y = g(x), where a = 0.
By Claus Martin Dachselt. 2020/12/30

Differential Equation of 4th and 3rd Order, Part 2 1.02   (details) Prime ENG   1125KB/10KB
ScreenshotFinds the solution y(x) = y_hom + y_part to the differential equation (D.E.) of 4th order a*y^(4) + b*y''' + c*y'' + d*y' + e*y = g(x) or of 3rd order (a = 0) b*y''' + c*y'' + d*y' + e*y = g(x), where g(x) = e^(alpha*x) * [c1*SIN(beta*x) + c2*COS(beta*x)].
By Claus Martin Dachselt. 2020/12/30

Digamma Function   (details) Prime ENG   2KB/2KB
Calculates the digamma function for any positive integers and multiples of 1/2 (such as 3/2, 5/2, 7/2, etc) using the formulas: ψ(1/2) = -γ – ln 4 = -1.963510026, ψ(1) = -γ = -0.5772156649, ψ(n) = Σ(1/x, x, 1, n-1) - γ for n is an integer, and ψ(n) = Σ(2/(2*x+1), x, 0, n-3/2) - γ – ln 4 for n a multiple of 1/2 for the form p/2, p is odd, where γ = 0.577215664901533 (Euler-Mascheroni constant)
By Eddie W. Shore. 2017/12/28

Direct Sum and Tensor Product   (details) Prime ENG   3KB/3KB
Calculates the direct sum and tensor product (outer product). The direct sum, of two tensors symbolized by ⊕, stacks column vectors on top of each other. The tensor product, also known as the outer product, multiplies the numbers from V1 to each element V2 in order.
By Eddie W. Shore. 2023/05/14

Directional Derivative   (details) Prime ENG   2KB/1KB
CAS function to calculate the directional derivative.
By Salvo Micciché (salvomic). 2015/08/20

Distance, Speed, Time Calculator Using Units   (details) Prime ENG   35KB/11KB
ScreenshotA distance, speed and time calculator that uses the Units, MKSA, and CONVERT functions. Enter any two variables and solve for the third. When solving for the unknown variable, you need to specify the units of the unknown variable. When using h°m′s'' units for time, you need to enter the degrees, minute, and seconds symbols. One hour, 30 minutes and 45 seconds is entered as 1°30′45"
By Gene Shiomoto. 2019/08/29

Double Integral by Monte Carlo Method   (details) Prime ENG   52KB/3KB
Calculates the double integral ∫ ∫ f(x,y) dx dy over a circular area with center (X, Y) and radius R using the Monte Carlo method.
By Eddie W. Shore. 2018/12/21

Easy Matrix   (details) Prime ENG   373KB/85KB
This program is not designed to solve intricate matrix problems, but to facilitate the entry of data in matrices and perform many operations as described in the User Manual chapter 26.
By Bernard Michaud. 2016/08/04

Ellipse 2.0   (details) Prime ENG   3KB/10KB
Using the solver app, for an ellipse, solves for area, circumference, ellipticity, and eccentricity. Length of radius 1 and 2 are calculated using the two angles you enter. For an elliptical sector, solves for area, radius 1, and radius 2. For an elliptical arc, solves for radius 1, radius 2, chord, sector area, and arc area.
By Bernard Michaud. 2019/02/11

Ellipse Coordinate Converter   (details) Prime ENG   3KB/6KB
Converts Degrees, Radian, Gradian, and (X,Y) Coordinates. I can't get it to work, however.
By Bernard Michaud. 2018/03/14

Ellipse, Secant, Tangents 1.02   (details) Prime ENG   99KB/9KB
ScreenshotBeing given an ellipse E described by its center (xM,yM), semi-major axis a and semi-minor axis b in combination with a point P0(x0,y0) outside, Pc(xc,yc) inside or a secant defined by f(x), this CAS-program finds characteristic items like tangents T1, T2, tangential points P1, P2, chord between P1 and P2 and some more quantities and draws the plot.
By Claus Martin Dachselt. 2019/02/23

Elliptic Integrals   (details) Prime ENG   3KB/3KB
Handles elliptic integrals of the first, second, and third kind.
By Salvo Micciché (salvomic). 2017/10/30

EngSci   (details) Prime ENG   3KB/5KB
Handles Engineering or Scientific adjustment using the number on the Stack and increases or decreases the exponent EEX simulating <-ENG ENG-> keys. This program is not meant to compete with the more advanced program Casio-Style ENG Button but simply uses a different approach and graphical interface.
By Bernard Michaud. 2018/01/07

Extended Precision Library   (details) Prime ENG FRA   346KB/33KB
A library of functions to allow unlimited floating point precision for all arithmetic and most transcendental functions on the Prime. Includes comprehensive PDF documentation.
By G. E.. 2019/05/27

F Variance Test   (details) Prime ENG   3KB/4KB
Calculates the F Test for variances of two populations.
By Salvo Micciché (salvomic). 2015/08/20

Factor Analysis   (details) Prime ENG   16KB/9KB
Performs a factor analysis including estimation of commonalities according to the iterative principal factor analysis and a varimax factor rotation. Factor analysis is a multivariate statistical method to find hidden variables behind a set of variables.
By Raimund Wildner. 2019/12/31

Factores para Ingeniería Económica   (details) Prime ESP   2KB/14KB
ScreenshotUseful program that contains all the factors for calculations involving Economic Engineering.
By Arnoldo José París Monagas. 2017/12/17

Farey Series   (details) Prime ENG   3KB/3KB
Rounds a decimal value to fraction using the Farey series.
By Patrice Torchet. 2014/10/19

Fiber Optics Equation Library   (details) Prime ENG   3KB/2KB
Using the half-increment solution by Robert M. Eisberg, solves the numerical differential equation d^2y/dt^2 = f(dy/dt, y, t) given the initial conditions y(t0) = y0 and dy/dt (t0) = dy0.
By Eddie W. Shore. 2017/02/11

Fibonacci Triangle Matrices   (details) Prime ENG   357KB/2-5KB
ScreenshotHas the program FIBMAT to generate the Fibonacci Triangle in matrix form, and the program FIBTRI to visualize the Fibonacci Triangle.
By Eddie W. Shore. 2018/12/27

Fluctuation   (details) Prime ENG   7KB/26KB
ScreenshotStatistics program, plotting fluctuations.
By Mickaël Nicotera. 2017/04/27

Forward Intersection   (details) Prime ENG   3KB/2KB
Calculates the third point on a triangle where the coordinates of points A (xa, xb) and B (xb, yb) are known. Also, a line towards P point is aimed from point A at angle α° and from point B at angle β°.
By Eddie W. Shore. 2017/02/11

Fresnel Integrals   (details) Prime ENG   2KB/3KB
Handles Fresnel integrals with the functions for S(x) and C(x).
By Salvo Micciché (salvomic). 2017/10/30

Fun with Primes   (details) Prime ENG   3KB/2-4KB
Small programs to calculate the sum of the first n prime numbers, the sum of the first n prime reciprocals, and the product of the first n prime reciprocals.
By Eddie W. Shore. 2017/02/11

Function Defined by Preset Conditions 1.3   (details) Prime ENG   20KB/7KB
ScreenshotFinds for a function f(x) of n-th degree ( n= 3 or 4 ) given as f(x) =*x^n + b*x^(n-1) + c*x^(n-2) + … the numerical values of the unknown coefficients a, b, c, … owing to preset conditions. These conditions may be: a given point P(x|y) as part of the graph of the function f(x), extremum or tangent in x for f´(x), point of inflexion in x as f´´(x)=- ( f´´(x)<>0 also possible ) - or the integral I (x) =nInt( f(x), x_lower, x_upper) between two points. After calculation, the graph F1(X) of the function is plotted.
By Claus Martin Dachselt. 2018/08/18

Gauss Jordan Utilities   (details) Prime ENG   7KB/8KB
Performs operations with Gaussian reduction (elimination), extending the tools that the Prime has already (LU, pivot, ref, RREF, etc.). Contains the following tools: Pivots (an algorithm to calculate pivots that does a "partial pivoting", returning a matrix with pivots in diagonal and upper matrix), LU_ext (an extension of the lu() command, to treat also a non square matrix and echelon forms), LDLt (performs a transposition of a symmetric and square matrix into lower, diagonal and upper), LDU (a factorization of lower, diagonal, and upper for a square matrix), echelon (returns both ref(m) and RREF(m), echelon forms), and permMatrix (given a list {} or a matrix [] with the number of rows to permute, it gives the matrix of permutation).
By Salvo Micciché (salvomic). 2015/08/20

Gauss-Jordan   (details) Prime ENG   3KB/2KB
Uses the Gauss-Jordan Elimination Method in a step-by-step fashion to reduce a matrix.
By Eddie W. Shore. 2016/08/03

Gauss-Kronrod Quadrature   (details) Prime ENG   5KB/10KB
Integrates a user-defined function of the form y = f(x) using a 15-point Gauss-Kronrod method.
By C. Deagle, Jr.. 2023/05/28

GeomCalc   (details) Prime ENG   383KB/6KB
ScreenshotThis app is part of a tutorial of making custom user apps for the HP Prime. Notes of how the app is made, as well as an app itself, are included in the zip file. GeomCalc has ten geometric calculations: five areas and five volumes. Requires at least firmware 13333.
By Eddie W. Shore. 2018/02/18

Gompertz Model   (details) Prime ENG   3KB/2KB
Fits the data {y_1, y_2, y_3, … , y_m } to the curve y = a*b^c^x, where x = {0, 1, 2, 3, 4, … , m-1}. The program works best if the dimension (size) of the data set is divisible by 3. GOMPERTZ sorts the values into ascending order before calculation. The results returned is a 3 x 1 matrix of the parameters: a, b, and c. GOMPERTZ estimates a, b, and c and runs through one iteration to retrieve a better estimate, and may be modified by include additional iterations should the user desire.
By Eddie W. Shore. 2016/08/06

Gradian Toolbox   (details) Prime ENG   3KB/3KB
Provides conversion from radians or degrees to gradians and vice versa. There are also the three basic trigonometric functions and their inverse functions that work directly in gradians.
Author unknown. 2016/08/04

H2OWAVES   (details) Prime ENG   3KB/2KB
Calculates wave speed, impedance, and wave flux for shallow ocean waves.
By Eddie W. Shore. 2017/04/27

Hermite Interpolation   (details) Prime ENG   2KB/1KB
This performs Hermite Interpolation for the 2-known points case, when we have points (x0, y0, y’0) and (x1, y1, y’1) and we want to determine y for a given value of x. The approximation of y is determined by divided differences.
By Eddie W. Shore. 2016/08/04

HP-Prime CAS+ 0.0.6c   (details) Prime ENG ESP   215KB/10KB
ScreenshotLibrary functions for the symbolic mode (CAS) of the Prime.
By Jaime Fernando Meza Meza (CompSystems). 2014/10/18

Hyperbolic CAS Transformations   (details) Prime ENG   6KB/14KB
CAS transformations with expressions involving hyperbolic functions, mainly sinh (hyperbolic sine) and cosh (hyperbolic cosine).
By Eddie W. Shore. 2019/12/31

Imaginary Error Function   (details) Prime ENG   2KB/1KB
Shows how to implement the imaginary error function, erfi() and a function called "erfw", or w(z) that handles every complex number, similar to the built-in error function, erf() and the complementary error function, erfc().
By Salvo Micciché (salvomic). 2017/11/02

inMeter 2.0   (details) Prime ENG   6KB/26KB
ScreenshotType in a numerical value and change the area units with various conversions with units that end with "meter". Inspired by Bernard Michaud's "Power of Ten Graphical".
By Roman Grasmik. 2020/06/06

Integer Ratios and Integer Density   (details) Prime ENG   4KB/4KB
Calculates the ratio of integers to a range of integer that fit a criteria. The seven ratios that the program offers are the number of odd integers over the range of integers, the number of even integers over the range of integers, the number of integers equally divisible by N over the range of integers, the number of perfect squares over the range of integers, the number of integers that begin with digit N over the range of integers, the number of integers that are triangular numbers over the range of integers, and the number of integers that are relatively prime to N over the range of integers.
By Eddie W. Shore. 2023/05/14

Interpolacion 1.0   (details) Prime ESP   2KB/5KB
ScreenshotDoes single and double interpolation.
By Alvaro De León Glz. 2017/02/10

Interpolator 1.0   (details) Prime ENG   360KB/3KB
ScreenshotHelps you interpolate or extrapolate values using the the equation of the line passing through two different points.
By Marco Antonio Rivera Villacorta. 2017/02/10

Interval Arithmetic   (details) Prime ENG   5KB/8KB
Performs interval arithmetic (addition, subtraction, multiplication, and division) with two intervals.
By Eddie W. Shore. 2023/05/14

Irregular Areas   (details) Prime ENG   3KB/30KB
ScreenshotGiven X and Y coordinate points of a closed area, the irregular polygon Area and C.G. are calculated. As with all of the author's spreadsheets, the blue text cells are the data input cells and the red text cells are the calculated output cells.
By Jim B. Williams. 2020/01/16

Jacobi and Gauss-Seidel 1.2   (details) Prime ENG   243KB/5KB
ScreenshotSolves linear systems using the Jacobi and Gauss-Seidel Iterative Techniques. It also calculates the spectral radius of the iteration matrix.
By Jhonatan Peretz. 2019/02/27

Jacobi Elliptic Function   (details) Prime ENG   3KB/2KB
Given Jacobi_fn(φ, m), where φ is the amplitude (φ=ASIN(x), where x is upper bound of Elliptic integral 1st kind expressed in other canonical form; the complete form has 0<=x<=1 or 0<=φ<=π/2); m=k^2 is the square of the eccentricity (0<=k<=1), this program returns a matrix where the first row present u (elliptic integral 1st kind in the sine integral –with φ– form), φ, m and the second row sn (amplitude sine), cn (amplitude cosine) and dn (delta amplitude).
By Salvo Micciché (salvomic). 2017/11/02

Jacobi Elliptic Functions   (details) Prime ENG   87KB/2KB
Jacobian Elliptic Functions are a set of twelve functions denoted by XY(U, K) where X and Y stands of letters c, s, n, and d. This program works with three common Jacobi Elliptic Functions: Sine Amplitude: sn(u,k), Cosine Amplitude: cn(u,k), Delta Amplitude: dn(u,k).
By Eddie W. Shore. 2020/04/11

Jacobian   (details) Prime ENG   3KB/2KB
ScreenshotCAS program that calculates the Jacobian of a matrix. Also can evaluate it at a certain point.
By Salvo Micciché (salvomic) and Arno Kizina. 2018/04/09

Kinematics Functions for Robotics   (details) Prime ENG   5KB/8KB
Some functions that can be pretty useful for someone studying Robotics, particularly Robot kinematics. Includes a tan inverse function that takes into account the quadrant, a function to return a 4x4 translation matrix x units in the x direction, y units in the y direction, and z units in the z direction, and a function to return a 4x4 rotation matrix for a body rotated by an angle "ang" about the axis "ax".
By Hamorabi. 2019/12/29

Lagrange Interpolation 1.1   (details) Prime ENG   2KB/3KB
ScreenshotReturns the interpolating Lagrange polynomial of minimum degree k for a set of points {x0, x1, …, xn}, {y0, y1, …, yn}, where 1 <= n-1 and n = 2, and depicts the plot of the function.
By Claus Martin Dachselt. 2018/05/22

Lambert W Function   (details) Prime ENG   17KB/2KB
CAS program which uses fsolve to calculate the Lambert function.
By Steve Tuc. 2020/06/06

Last Digit Composite   (details) 38 Prime ENG   2KB/1KB
Inserts symbolics in the Sequence App to produce the sequence of numbers having right-most digit composite. This is A262389.
By Gerald Hillier and Didier Lachieze. 2017/09/20

LCalculus 0.2   (details) Prime ENG   83KB/14KB
Lambda Calculus expression evaluator based on the Spreadsheet app. Use the spreadsheet as a dictionary of lambda expressions, each named with an ID. Perform evaluations by specifying 2 or 3 IDs to be applied to each other. This version uses De Brujin indices instead of normal notation. The next version will use De Brujin indices behind-the-scenes. Various expressions are included. Church Numerals are recognized automatically. This version is also limited to performing applications with 2 or 3 terms; a future version will support free-form entry of terms (using ID, not lambda expressions) for evaluation.
By Brian L. O'Dell. 2014/10/18

Least Squares Regression 1.0   (details) Prime ENG   200KB/5KB
ScreenshotAllows you to perform Polynomial Regression and Multiple Linear Regression using the Least Squares technique.
By Jhonatan Peretz. 2019/01/17

Line Integral and Curvilinear Integral   (details) Prime ENG   3KB/1KB
Two little CAS programs to calculate line integral (vector functions) and curvilinear integral (scalar function). These programs work with 2 or 3 components (parametric expression: [r(t), r(t), r(t)] or [r(t), r(t)]).
By Salvo Micciché (salvomic). 2015/08/20

Linear Exponential Combination Fit   (details) Prime ENG   100KB/2KB
ScreenshotAttempts to fit bivariate data to the curve y = a + b * x + c * e^x. The LSQ (least square) function is used. The output is a list of three matrices.
By Eddie W. Shore. 2020/12/30

Linear Solver+   (details) Prime ENG   134KB/3KB
Uses RREF to solve linear equations, supporting both real and complex numbers. It can also solve larger than 4x4, but the interface is less friendly for this since larger systems are used less frequently in electronics circuits, which this program was designed for.
By Bernard Michaud. 2016/08/04

Linear Solver+ App   (details) Prime ENG   4KB/13KB
ScreenshotLinear solver app similar to the LSX program, in that it can also solve Complex Linear Equations in 2x2 and 3x3. Useful for those in the Electrical/Electronics field.
By Bernard Michaud. 2016/08/06

Lines and Circles Geometry   (details) Prime ENG   4KB/28KB
ScreenshotIntersection and tangent points are determined for lines and circles. Also, circle center and radius are determined for three points. The row number for each type of problem is shown at the top of the spreadsheet. As with all of the author's spreadsheets, the blue text cells are the data input cells and the red text cells are the calculated output cells.
By Jim B. Williams. 2020/01/16

Locus Curve 1.1   (details) Prime ENG   2KB/2KB
Calculates from given set of functions the curve (s) through max and min points or through turning points.
By Arno Kizina. 2018/02/27

LSX Linear Solver   (details) Prime ENG   3KB/10KB
Mimics the Linear Solver APP, however it can also solve Complex Linear Equations in 2x2 and 3x3. Useful for those in the Electrical/Electronics field.
By Bernard Michaud. 2016/08/06

Machine de Galton   (details) Prime ENG   1KB/2KB
ScreenshotA bean machine to demonstrate the central limit theorem.
By Mickaël Nicotera. 2013/12/22

Machine Epsilon   (details) Prime ENG   2KB/2KB
Calculates the machine epsilon, an upper bound on the relative approximation error due to rounding in floating point arithmetic.
By C. Deagle, Jr.. 2023/05/14

Magic Squares   (details) Prime ENG   3KB/3KB
Generates random 3 x 3 non-normal magic squares. The sum of each row, column, and diagonal are given. A magic square is a square of integers where each row, column, and diagonal have the same sum.
By Eddie W. Shore. 2017/10/22

MAT 1105 FNI 1.0   (details) Prime ESP   16KB/238KB
ScreenshotNumeric math application with functions for bisection, fixed point, Newton-Raphson, and more.
By Rocha Caceres Santiago. 2016/08/02

Matrices Built from Shifted Elements   (details) Prime ENG   64KB/4KB
ScreenshotPrograms to create an n by n matrix based on the elements of a given list. Each row has each of the elements rotated one element, either left (LSM) or right (RSM).
By Eddie W. Shore. 2019/03/11

Matrices: Adjoint and Cofactors   (details) Prime ENG   2KB/1KB
A little program to get the adjoint matrix and cofactor matrix of a given matrix.
By Salvo Micciché (salvomic). 2015/08/20

Maximum Probability - Incomplete Gamma Law   (details) Prime ENG   4KB/3KB
ScreenshotCalculates four calculation points and three parameters of A, γ, and β of the Incomplete Gamma Law: g(x) = 1 / (β^γ * gamma(γ)) * x^(γ - 1) * e^(x/β).
By Eddie W. Shore. 2019/08/29

Means API   (details) Prime ENG   9KB/22KB
A collection of common means and other numerical list routines.
By Stephen Lewkowicz (G1CMZ). 2018/01/07

Means: Geometric, Weighted, Harmonic   (details) Prime ENG   2KB/2KB
A simple program to calculate some means, given lists of values. Calculates the geometric mean of {list1} (where all numbers in the list must be > 0), the weighted mean of {list1} with weights {wlist}, and the harmonic mean of {list1} (where all numbers must be > 0).
By Salvo Micciché (salvomic). 2017/12/28

Mersenne Twister   (details) Prime ENG   4KB/6KB
An implementation of the Mersenne Twister, for random number generation.
By Keith Barkley. 2017/02/11

Métodos Numéricos H&WLabs 1.1   (details) Prime ESP   8KB/50KB
ScreenshotSolves numeric methods. Uses the Newton-Raphson method, the fixed point method, the Newton bisection method, the secant method, and the false position method. Shows the intermediate steps and the final result.
By Hebert Poma Vidal. 2016/09/11

Minima and Maxima with Lagrange Multipliers   (details) Prime ENG   75KB/2KB
ScreenshotCalculates the minima and maxima of a function using Lagrange Multipliers.
By Hamorabi. 2019/12/31

Modified Bessel Functions of the 1st and 2nd Kind 1.0   (details) Prime ENG   3KB/4KB
Implements two functions, I and K, for calculating the Modified Bessel Function of the First and Second Kind, respectively. These functions are useful in various areas of physics and engineering, particularly in the study of wave phenomena and heat transfer. The code uses a series expansion to approximate the functions with a given accuracy, controlled by the parameter "totalTerms".
Author unknown. 2023/05/07

Modified Newton's Method 1.1   (details) Prime ENG   245KB/3KB
ScreenshotCAS program that solves an equation using the Modified Newton-Raphson Iterative Technique.
By Jhonatan Peretz. 2019/04/22

Monty Hall Problem   (details) Prime ENG   3KB/4KB
ScreenshotSimulates the famous Monty Hall program. You get to choose how many times the problem should run, the number of doors and if you want to change doors or not. It only shows the results (statistics) and you won't actually choose doors, or win a car or goats.
By Artur Donda. 2017/10/23

MPINVERT   (details) Prime ENG   2KB/1KB
Also known as a pseudoinverse, calculates the Moore-Penrose inverse of a matrix, denoted by A^+ (capital A with a supersubscript of a plus sign), is an inverse of matrix. Different from the "true" matrix inverse, the Moore-Penrose inverse allows for non-square matrices. Primarily, the Moore-Penrose inverses are calculated is assist in solving linear least-square equations.
By Eddie W. Shore. 2015/08/20

Multi Command App   (details) Prime ENG   45KB/45KB
ScreenshotDisplays all functions in the CAS/Rewrite menu with their results in a popup menu on the CAS main screen. Additionally, it displays expand, proot (in second menu only), collect, and lncollect functions and their results.
By V Volkan. 2018/10/13

Multinomial Coefficient   (details) Prime ENG   3KB/1KB
Two versions of a program to calculate multinomial coefficients. The program accepts an integer for "n" (total of k) and a list with brackets {} for the list of the k (like {1,4,4,2}) and gives an integer that represents permutations in a multi set.
By Salvo Micciché (salvomic). 2015/08/20

Nelder Mead Optimization   (details) Prime ENG   5KB/8KB
Uses the Nelder Mead method to optimize functions with the number of dimensions only limited by memory. Nelder Mead optimization is a type of simplex routine that uses only values of the function. It is very robust and no derivates are needed.
By Raimund Wildner. 2021/04/10

Newton Method for Nonlinear Systems 1.1   (details) Prime ENG   232KB/3KB
ScreenshotCAS program which solves nonlinear systems using the Newton Method. It also calculates the Jacobian matrix of the system of equations.
By Jhonatan Peretz. 2019/01/17

Newton Raphson 2.0   (details) Prime ESP   3KB/3-9KB
ScreenshotNumeric methods by the Newton-Raphson method. Three version, for a direct result, a step-by-step result, and a version in a table similar to Excel.
By Florencio Quelca. 2018/04/09

Newton's Method   (details) Prime ENG   3KB/1KB
Uses Newton's Method to compute the root of a function f(x) using linear approximations of f(x) via tangent lines.
By Han Duong (HPSolo). 2014/10/22

Newton's Method with Strings   (details) Prime ENG   4KB/2KB
A version of Newton's method where you specify a string representing f(x), along with the initial guess for the root, and the tolerance value. Thus you can solve for different functions without having to hard code these functions in the PPL code. Also includes an enhanced version.
By Namir Shammas. 2018/01/07

Nice Integer Eigenvectors   (details) Prime ENG   6KB/10KB
Gives you nice integer eigenvectors for 2x2 and 3x3 matrices rather than the normalized ones given by the EIGENVV program.
Author unknown. 2015/08/20

Nombres Premiers 1.1   (details) Prime FRA   29KB/12KB
ScreenshotDetermines whether a number between 0 and 10E9 is prime. Gives the prime numbers before and after that number.
By Pierre Berly. 2019/03/11

Normal Law   (details) Prime FRA   1KB/2KB
ScreenshotStatistics program, where you enter the standard deviation and a guess.
By Mickaël Nicotera. 2017/04/27

Nullspace   (details) Prime ENG   3KB/4KB
Calculates the nullspace of a matrix. The left nullspace can be calculated by taking the transpose of the matrix first.
By Hamorabi. 2019/12/29

Numeric Integration   (details) Prime ENG   3KB/6KB
Uses a hybrid of CAS and Home-program to compute the integral of an input entered function, the borders and intervals to compute diverse numeric integrals. It can easily be extended to other formulas; the included ones are those the author sometimes needs to check hand-calculations made by his pupils.
By Arno Kizina. 2017/12/28

Numerical Integration 1.1   (details) Prime ENG   300KB/8KB
ScreenshotApproximates the definite integral for a given function using the Newton-Cotes Formulas (Trapezoidal Rule, Simpson 1/3 Rule and Simpson 3/8 Rule) and Gauss-Legendre Quadrature.
By Jhonatan Peretz. 2019/04/09

Numerical Methods (Equations in One Variable) 1.0   (details) Prime ENG   426KB/10KB
ScreenshotUses numeric methods to solve an equation in the form f(x) =. The iteration table is also shown. You can choose between five different numerical methods: Fixed-Point Method, Newton-Raphson Method, Secant Method, False-Position Method and Bisection Method.
By Jhonatan Peretz. 2019/08/23

OEIS A111138   (details) 49/50 38 Prime ENG   5KB/1KB
Returns the Nth element of the series OEIS A111138.
By Gerald Hillier and John Keith. 2019/07/20

Orthogonal Matrix Test   (details) Prime ENG   2KB/2KB
Tests whether a square matrix is orthogonal, using the formula M * M^T = M^T * M = I.
By Eddie W. Shore. 2017/02/11

Parabolic Coordinates   (details) Prime ENG   3KB/3KB
Converts between parabolic coordinates (μ, v, ϕ) and rectangular coordinates (x, y, z).
By Eddie W. Shore. 2017/03/05

Parabolic Cylindrical Coordinates   (details) Prime ENG   3KB/3KB
Converts between parabolic cylindrical coordinates (μ, v, ϕ) and rectangular coordinates (x, y, z).
By Eddie W. Shore. 2017/03/05

Parabolic Interpolation Using 3 Points   (details) Prime ENG   568KB/10KB
Quadratic interpolation program. When given three points, calculates x or y.
By Gene Shiomoto. 2023/05/14

PDQ Algorithm   (details) Prime ENG   8KB/2-5KB
PDQ finds best rational approximations, with infinite precision. This means it finds the two smallest integers whose ratio is equal to some target real number plus or minus some desired tolerance. In other words, it finds the simplest fraction in any given interval. Unlike other methods, it always finds the unique best answer, and uses the infinite precision of CAS long integers.
By Joseph K. Horn. 2018/03/18

Perigee and Apogee of a Conic Section   (details) Prime ENG   3KB/2KB
ScreenshotDetermines three characteristics of a conic section: the eccentricity, perigee, and apogee, given the lengths of the semi-major axis (A) and the semi-minor axis (P).
By Eddie W. Shore. 2017/12/17

Perimeter of an Ellipse   (details) Prime ENG   3KB/1-2KB
Uses a converging iteration technique ported from a QBASIC program by Gérard P. Michon to calculate the perimeter of an ellipse. Also includes a version using integration that is slightly more accurate.
By Joseph K. Horn and Wes Loewer. 2016/08/06

PGCD étendu   (details) Prime FRA   1KB/1KB
ScreenshotExtended Euclidean algorithm program.
By Mickaël Nicotera. 2013/10/05

Pitch vs Angle   (details) Prime ENG   3KB/2KB
ScreenshotCalculates the pitch and angle of various roof heights. The pitch of a roof is the number of inches of vertical rise per 12 inches. For example: a roof of 3/12 is pitch is a roof that rises 3 inches for every 12 horizontal inches. This program demonstrates the angle computer given different roof pitches. You control the rise, anywhere for 0.5 ft to 12 ft. Use the up and down arrow keys to control the rise.
By Eddie W. Shore. 2017/02/11

Pixel Plot   (details) Prime ENG   107KB/4KB
Program for changing Cartesian coordinates to pixels. When running programs on the HP Prime, the screen has a pixel coordinate system of 320 x 220 (to allow room for soft menu keys). There are two ways to calculate to translate Cartesian coordinates to pixel coordinates on the HP Prime. The easy way is to use the C→PX command. However, if you are working in custom made apps, C→PX may not work because the command requires that app has the Plot variables Xmin, Xmax, Ymin, and Ymax. This will require a conversion formula, provided by this program.
By Eddie W. Shore. 2018/02/18

Planes 1.2   (details) Prime ENG   57KB/14KB
ScreenshotFrom the field of Vector Algebra, finds for two planes, plane and straight line or plane and point typical properties like distance, point or line of intersection, angle between two planes.
By Claus Martin Dachselt. 2018/05/22

Platonic Solids   (details) Prime ENG   6KB/3KB
A set of routines to calculate the volume and surface area of the following solids: tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron.
By Eddie W. Shore. 2017/02/11

Point, Curve, Tangent 1.2   (details) Prime ENG   2KB/3KB
ScreenshotGiven a point (xP|yP) outside a curve described by f(x), this CAS program finds one or more tangent(s) Ti(x) through (xP|yP) to the curve, the accompanying tangential point(s) (xT|yT) on f(x) and the normal line(s) Ni(x) in (xT|yT).
By Claus Martin Dachselt. 2018/04/09

Polynomial Homogeneous Test   (details) Prime ENG   2KB/1KB
A polynomial is homogeneous if all of the nonzero terms has the same degree. This CAS program tests a polynomial of four variables x, y, z, and t and their combinations (x*y, x*z, x*y*z, etc). If the polynomial in question is homogeneous, the program returns a 1 (for true), otherwise 0 is returned (for false).
By Eddie W. Shore. 2016/08/06

Polynomial Interpolation   (details) Prime ENG   2KB/2KB
A one-line program, to find an interpolated value using a polynomial interpolation function to a set of data points.
Author unknown. 2017/02/11

PolySolver   (details) Prime ENG   3KB/5KB
ScreenshotSolves polynomials.
By Mickaël Nicotera. 2017/04/27

Power of Ten   (details) Prime ENG   3KB/2KB
ScreenshotVery simple program to convert Power of Ten units.
By Bernard Michaud. 2017/02/11

Power of Ten Graphical   (details) Prime ENG   2KB/3KB
ScreenshotModified version of Power of Ten, a simple program to convert Power of Ten units, but with a graphical interface after your data is entered.
By Bernard Michaud. 2017/12/17

Prime and Xcas Examples of Solver   (details) Prime ENG   187KB/3KB
ScreenshotExamples of the solver commands from Xcas for the Prime
By Jaime Fernando Meza Meza (CompSystems). 2017/07/24

Primitive Roots   (details) Prime ENG   6KB/6KB
A set of three tools for dealing with primitive roots. One returns the smallest primitive root, one returns a list of all primitive roots, and one returns the next primitive root that is larger than the given value.
Author unknown. 2015/09/07

Program to Count Bits   (details) Prime ESP   3KB/3KB
Counts bits in a binary word.
By DrEureka. 2023/05/14

PSSQ Algorithm   (details) Prime ENG   86KB/2KB
The PSSQ Algorithm accepts a prime p congruent to 1 mod 4 and returns the pair [x,y] such that the equality p=2+y^2 is satisfied. There can only be one such pair and this algorithm finds it very quickly, processing a 45-digit prime in less than half a second. Based on the algorithm devised by Stan Wagon with improvements by John Brillhart.
By Jim Cullen. 2021/04/10

Py-41Get It   (details) Prime ENG   73KB/140KB
ScreenshotEmulates the HP-41CX, with 320 memory registers, full XMEM (except with ED), Helios printer support, and partial timer support. Written in Python, requiring a recent firmware update.
By Olivier De Smet. 2021/05/23

Pythagorean Triangle Search   (details) Prime ENG   4KB/2KB
ScreenshotA Pythagorean triple is a trio of positive integers a, b, and c, that describe the lengths of a right triangle, where a and b are the lengths of the sides while c is the length of the hypotenuse. This program asks you for m and n and generates a Pythagorean triple. Make sure that m > n.
By Eddie W. Shore. 2020/09/30

Pythagorean Triples   (details) Prime ENG   2KB/2KB
Calculates a Pythagorean triple. A Pythagorean triple is a set of three positive integers A, B, and C that represent the lengths of a right triangle, with C being the hypotenuse. Hence, A^2 + B^2 = C^2.
By Eddie W. Shore. 2017/02/11

QPI 4.3   (details) Prime ENG   19KB/10KB
HP Prime port of QPI 4.3 (originally for the HP 48 series). Approximates any floating point numbers by a rational number, square root, multiple of PI, exponential or a logarithm depending on which approximation seems best.
By Han Duong (HPSolo) and Mika Heiskanen. 2013/12/22

QTM   (details) Prime ENG   2KB/1KB
Tools for working with quaternions in 2x2 matrix form.
By Eddie W. Shore and Salvo Micciché (salvomic). 2016/08/03

Quiz Multiplication 1.0   (details) Prime ENG   1KB/3KB
Practice multiplication tables.
By Tomasz Stochmal. 2022/07/31

Rabbits vs Foxes   (details) Prime ENG   20KB/3KB
ScreenshotDetermines the population of rabbits and foxes over time as modeled by the differential equations dr/dt = 2 * r - α * r * f and df/dt = -f + α * r * f. Includes two versions, one which gives numerical results and one which plots the results.
By Eddie W. Shore and Mark Power. 2020/04/11

RandList_4in1 1.0   (details) Prime ENG   2KB
ScreenshotGenerates a list of the requested number of random numbers with the numbers in the specified range.
By Xinyang He. 2022/07/31

Rational Binomial Coefficients   (details) Prime ENG   3KB/2KB
Calculates the rational binomial coefficient.
By Eddie W. Shore. 2019/01/17

Rational functions Polynomial expansion   (details) Prime ENG   3KB/5KB
Does polynomial expansion of rational functions with partfrac and cpartfrac.
Author unknown. 2015/10/24

Repeating Decimals / Recurring Decimals 0.9   (details) Prime ENG   13KB/29KB
Given an integer reciprocal, analyzes the decimal representation to identify the transient and repeating/recurring parts of the decimal.
By Stephen Lewkowicz (G1CMZ). 2018/02/18

RKPrime 1.0   (details) Prime ESP   1072KB/100KB
Solves a differential equation system (up to five dependent variables) using the 1st to 4th order Runge-Kutta methods. It´s perfect for the Chemical Reaction Engineering course and some Electrical Engineering applications.
By Yesid Eduardo Puerto. 2019/12/29

Roman   (details) Prime ENG   2KB/1KB
Converts an integer to Roman number
By Lars Fredriksson. 2014/10/22

Rounding to the Nearest Reciprocal   (details) Prime ENG   14KB/2KB
Rounds a number to the nearest 1/n. This function can come in handy in several applications, for example, when working with construction or measuring, when have to round results to the nearest eighth (1/8), inch (1/12) or sixteenth (1/16).
By Eddie W. Shore. 2017/12/06

RPN Keystroke Simulator 1.0   (details) Prime ENG   602KB/28KB
ScreenshotOffers 47 equations for HP Prime's Solver App. Just run the eqlib program, select the category that you are interested in, and select the equation within that category and you are off and running. Categories include: Geometry (areas, volumes, surface areas), Finance (monthly loans, sales tax, break-even), Temperature Conversion (Fahrenheit to and from Celsius), Physics: Problems of Motion (linear distance, circular motion, pendulums, terminal & escape velocity), Sound (speed of sound, Doppler effect, loudness), Optics (Lens and Snell equations, spherical refraction), Electronics (2 resistors series and parallel, thermal noise, Ohm's Law), Astronomy (parallax, luminosity, Kepler's 3rd Law, time dilation), Great Circle Calculations, Angle of Incidence Calculations, Gases (Ideal and Boyle's Gas Laws, heat capacity, air density, isothermal expansion), and Fluids (depth pressure, fluid flow, Bernoulli's Equation).
By Eddie W. Shore. 2015/10/24

Runge Kutta 4th Order Method   (details) Prime ENG   3KB/1KB
Two functions for solving differential equations using the Runge Kutta 4th Order, one that takes all five arguments as parameters and the other that uses an input box.
By Eddie W. Shore. 2015/08/23

Runge-Kutta 1.1   (details) Prime ESP   349KB/9KB
ScreenshotFour CAS functions that solve ordinary differential (system of) equations using the following methods: Euler method, Heun Method (also known as Modified Euler method), third-order Runge-Kutta method and fourth-order Runge-Kutta method.
By Jhonatan Peretz. 2021/04/10

Runge–Kutta–Fehlberg RKF for One Equation   (details) Prime ENG   226KB/9KB
Program written in Python (without using NumPy) for doing Runge–Kutta–Fehlberg RKF for one equation.
By Ioncubekh. 2023/05/14

Runge–Kutta–Fehlberg RKF for System of ODEs   (details) Prime ENG   228KB/14KB
Program written in Python (without using NumPy) for doing Runge–Kutta–Fehlberg RKF for systems of ODEs.
By Ioncubekh. 2023/05/14

SAMPLE   (details) Prime ENG   1KB/1KB
Generate a list of random integers from 1 to N using sample without replacement.
By Eddie W. Shore. 2013/10/05

Section 2.0   (details) Prime ENG   51KB/2KB
ScreenshotCalculates some geometric properties for figures made from rectangles, like W section or so.
By Rafael H. Padilla V.. 2014/10/19

Shewhart X-Bar Chart   (details) Prime ENG   4KB/3KB
Given a matrix, XCHART generates five variables that describe the parameters of a Shewhart X-bar chart for quality control purposes. Two limits, upper and lower, are determined, set 3 deviations from the mean, set the boundaries in which a process can vary and still allow the process to be in control.
By Eddie W. Shore. 2017/08/26

Sieve of Eratosthenes   (details) Prime ENG   23KB/3KB
ScreenshotShows a miniature version of the famous Sieve of Eratosthenes. The Sieve of Eratosthenes is a Greek algorithm that determines prime numbers from 2 to N through eliminating multiplies.
By Eddie W. Shore. 2018/12/21

Simple Logistic Regression   (details) Prime ENG   2KB/2KB
Attempts to fit two lists of data (X, Y) to the equation y=1/(A+B*e^(-x)) by using the translation: X’ = e^-X and Y’ = 1/Y and performing linear regression analysis on X’ and Y’. This is good for all data except when y = 0.
By Eddie W. Shore. 2017/04/22

Simplex 1.0   (details) Prime ENG   692KB/15KB
ScreenshotLinear programming by the Simplex 2 phase method.
Author unknown. 2017/02/16

Simplex 20.13   (details) Prime ENG   663KB/88KB
ScreenshotSolves linear programs using the simplex method, providing a pure integer solution, or a mixed integer, continuous and binary solution. Lets you save and reload data, set target Z value, import data from spreadsheet, and use user definable variable names.
Author unknown. 2017/02/11

Simplified Modulo Expressions   (details) Prime ENG   47KB/2KB
Finds equivalent congruence for A ≡ B mod M. The user inputs B and M, A and equivalent congruence will be calculated.
By Eddie W. Shore. 2019/12/29

SIMPRULE   (details) Prime ENG   2KB/1KB
ScreenshotUsing Simpson's Rule, approximates the integral of f(X): ∫f(X)dX=h/2*(f(a)+2*Σf(x_E)+4*∑f(x_O)+f(b)) where a is the lower limit, b is the upper limit, n is the number of intervals and is even, h is (b–a)/n, x_E is a+h*I where I is from 1 to n-1 and I is even, and x_O is a+h*I where I is from 1 to n-1 and I is odd.
By Eddie W. Shore. 2016/08/06

Simulateur Probas   (details) Prime ENG FRA   158KB/5KB
ScreenshotProbability simulator, letting you flip coins, roll a 6-sided die, spin a 4-numbered/colored spinner, take a colored ball out of an urn, deal 5 cards, or get random numbers.
By Mickaël Nicotera. 2018/02/25

Simultaneous Linear Equation Solver 1.0   (details) Prime ENG   3KB/14KB
ScreenshotSimultaneous linear equation solver which solves 2x2 and 3x3 equations in Real and Complex mode. Mimics HP Linear Solve App, with Inputs and Outputs on the same screen. To return to Menu: Check Menu[] box and [Ok].
By Bernard Michaud. 2019/02/11

Singular Value Decomposition 14-FEB-2017   (details) Prime ENG   16KB/42KB
Computes the singular value decomposition of a matrix. It additionally provides the commands diag2 (diagonal), pinv (pseudo-inverse), qrp (permutation/unitary/upper triangular), and lqp (permutation/unitary/lower triangular).
By Han Duong (HPSolo). 2020/04/11

Skeptic   (details) Prime ENG   15KB/2KB
ScreenshotA method for combining experimental results. The idea is this: if we "trust" the values and error bars reported by the various experimenters, the usual recipe for computing a weighted average and overall error bar is fine. But if the error bars are inflated or deflated (intentional or unintentional), the Bayesian approach allows for some "slop" in the error bars and finds optimal agreement between the experiments. For instance, if one experiment reports a value with small error bars that is quite different from other experiments, the usual weighted average calculation will be dominated by that "rogue" experiment. This does not happen with the Bayesian (SKEPTIC) recipe.
Author unknown. 2020/04/11

SLK (Straight Line Kit) 4.1b   (details) Prime ENG ESP   1050KB/280KB
ScreenshotHelps you to find the distance, the slope and the equation between two points, the perpendicular distance between a point and a straight line, collinearity of three points (the middle-point and the end-point coordinates), the equation of a straight line that goes through a point with a slope, transforms linear equations back and forth between standard and slope-intercept forms, generates the coordinate representation of a straight line, determines whether two straight lines are parallel or perpendicular, finds the (x) & (y) intercepts of a straight line, finds the intersection point of 2 straight lines, transforms a non-standard form equation into a standardized form of it, divide a segment into points or sub-segments, performs linear interpolation/extrapolation. Requires firmware 10077 or higher.
By Dante Camargo. 2018/09/09

Smith Chart Conversions   (details) Prime ENG   3KB/3KB
Calculates one of two sets of conversions: Return Loss (RL) to Standing Wave Ratio (SWR, in decibels): RL to ρ (reflection coefficient) to σ (voltage standing ratio) to SWR, and Standing Wave Ratio to Return Loss: SWR to σ to ρ to RL.
By Eddie W. Shore. 2017/12/28

Smith Chart with Gradients   (details) Prime ENG   10KB/27KB
Modified version of Smith Chart that adds the ability to paint up to 3 parameters (any three) in RGB. Works, but very slow - 6-8 minutes to paint.
By Keith Barkley and others. 2017/12/28

SolveSys 1.000Get It   (details) Prime ENG   537KB/252-301KB
ScreenshotIntended to replicate and combine programs from the HP 48 series of calculators for organizing equations and launching an equation solver. This app attempts to allow users to build their own equations library. The user can then also launch a numerical solver. This app implements the Newton-Raphson algorithm for solving a system of equations. In order to handle ill-conditioned, over-determined, under-determined, rank-deficient (etc.) Jacobian matrices, the SVD is used to determine the pseudo-inverse of the Jacobian (the pseudo-inverse coincides with the regular inverse of a matrix for non-singular matrices). Includes a copy of the equation library from the HP 48/49 series to get you started, including all the graphics. Also includes a more accurate version that requires Singular Value Decomposition.
By Han Duong (HPSolo). 2017/04/15

Solving Integral Equations   (details) Prime ENG   50KB/2KB
Solves the equation ∫( f(t) dt, 0, x) = a and ∫( f(t) dt, 0, x) - a = 0.
By Eddie W. Shore. 2019/08/29

Solving Quadratic Equations Step-By-Step   (details) Prime ESP   114KB/73KB
ScreenshotSolves quadratic equations in a step-by-step fashion. Requires QPI.
By Jaime Fernando Meza Meza (CompSystems). 2017/02/11

Solving Systems of First-Order Differential Equations   (details) Prime ENG   11KB/32KB
Demonstrates how to interact with an rkf78 subroutine which solves first-order systems of ordinary differential equations. This is an HPPL implementation of the Runge-Kutta-Fehlberg method of order 7 with an 8th order error estimate. This estimate is used to determine the variable step size required to satisfy a user-defined "convergence" criterion.
By C. Deagle, Jr.. 2023/05/14

Special Products   (details) Prime ENG   459KB/3KB
A short program that uses the <Solve App> to Numerically solve Special Product equations. Includes comprehensive PDF documentation.
By Bernard Michaud. 2016/08/06

Spect 001   (details) Prime ENG   566KB/17KB
ScreenshotPerforms symbolic time to frequency and frequency to time calculations: calculates for a given symbolic f(t) Fourier, Laplace and Z-transformation in symbolic form, draws the complex Laplace function together with the Fourier transformation slice as a 3D plot, and calculates for a given frequency transfer function the unity pulse, dirac pulse response and bode magnitude and phase in symbolic form. Includes PDF documentation.
By Frank P. 2019/07/20

Square Root Linear Regression   (details) Prime   2KB/2KB
Attempts to fit data to the curve Y = √(A + B*X) using the linear transformation y^2 = a + b*x.
By Eddie W. Shore. 2017/07/17

Statistic Distributions   (details) Prime ENG   9KB/1-20KB
Adds more statistic distributions, including logistic distribution, lognormal, exponential, geometric, hypergeometric and negative hypergeometric, negative binomial, Gompertz, Weibull and translated Weibull, Cauchy, beta, gamma, zeta, Laplace, uniform, multinomial, n-Erlang, Rayleigh, Pareto, Maxwell-Boltzmann, Gumbel, standard Gumbel, and Fréchet.
By Salvo Micciché (salvomic). 2016/08/03

Straight Lines 1.2   (details) Prime ENG   52KB/10KB
ScreenshotFrom the field of Vector Algebra, finds for two straight lines L1 and L2 the distance between the lines, the points P1 and P2 of minimal distance on both lines, the intersection angle and checks, whether the lines are parallel, skew or have a common point of intersection. If the direction vector of L2 is entered as [0], the problem is handled as straight line L1 and point P. In this case the program finds the distance, the base point of perpendicular Pn, perpendicular vector P_ and the reflected point P0'.
By Claus Martin Dachselt. 2018/05/22

Suites   (details) Prime FRA   1KB/1KB
ScreenshotDoes calculations related to summations and series.
By Mickaël Nicotera. 2017/04/27

Sum of Two Squares   (details) Prime ENG   33KB/2KB
ScreenshotGiven a positive integer n, it can be possible to find two non-negative integers x and y such that n = x^2 + y^2. This program uses iterations to find all possible pairs which fit n = x^2 + y^2. Some integers do not have representations, others have more than one. The program will show all possible combinations.
By Eddie W. Shore. 2019/08/29

Surface and Flux Integrals   (details) Prime ENG   4KB/3KB
Implementation of surface and flux integrals, returning the surface of the paraboloid.
By Arno Kizina. 2017/11/05

System of Two Linear Differential Equations 1.01   (details) Prime ENG   3KB/4KB
ScreenshotFinds the solution to a system of two dífferential equations given as d(y1)/dx =*y1 + b*y2 + f(x) and d(y2)/dx =*y1 + d*y2 +g(x). For initial values x0, y1(x0), y2(x0) the constants of integration are calculated. A graph of both functions y1, y2 is provided.
By Claus Martin Dachselt. 2018/12/09

Tangent and Normal Line to a Curve Defined by f(x) 1.2   (details) Prime ENG   2KB/3KB
ScreenshotThis CAS program finds the normal (or perpendicular) line N(x) through a given point (xN,yN) to the curve of a given function f(x) and additionally computes the tangent in the common intersection point (xT,yT) of curve and N(x).
By Claus Martin Dachselt. 2018/04/09

Taylor Expansion with 2 Variables   (details) Prime ENG   3KB/3KB
Function that returns the Taylor expansion of functions of two variables, because the Taylor function included in the Prime only works for single variable functions.
By Hamorabi. 2019/12/31

The Two Train Problem   (details) Prime ENG   36KB/3KB
ScreenshotTwo trains are heading towards each other, on their own separate train track. Each train has going at their own speed (velocity). The trains start out a distance apart. This program calculates when and where the trains will cross over the same spot.
By Eddie W. Shore. 2018/03/01

Tora 1.0   (details) Prime ENG ESP   1813KB/185KB
ScreenshotSolves Linear Programming exercises with the simplex method (variants of Constraints ≤, Gran M, Two Phases, Dual Simplex) and the Graphic method.
By Carlos Navarro Cera. 2023/09/17

Trapezoid Midsegment, Height, Area   (details) Prime ENG   2KB/2KB
ScreenshotCalculates the midsegment, height, and area of a trapezoid.
By Eddie W. Shore. 2017/06/24

Trapezoid Rule Using Distinct Points   (details) Prime ENG   33KB/2KB
Uses the Trapezoid Rule to estimate the area of any surface, given a list of measurements and the increment between the measurements.
By Eddie W. Shore. 2019/06/17

TRAPRULE   (details) Prime ENG   2KB/1KB
ScreenshotUsing the Trapezoidal Rule, approximates the integral of f(X): ∫f(X)dX=h/2*(f(a)+2*Σf(x_I)+f(b)), where a is the lower limit, b is the upper limit, n is the number of intervals, h is (b–a)/n, and x_I is a+h*I where I is from 1 to n-1.
By Eddie W. Shore. 2016/08/06

Triangle   (details) Prime ENG   3KB/21KB
ScreenshotA simple spreadsheet to solve for three unknowns given three known. (3 Sides and 3 Angles) As with all of the author's spreadsheets, the blue text cells are the data input cells and the red text cells are the calculated output cells.
By Jim B. Williams. 2020/01/16

Triangle Solver   (details) Prime ENG   1184KB/29KB
ScreenshotTriangle solver that allows you to set the accuracy of the result, solve right triangles, solve any other triangles, calculate the length of a line using two coordinate points, and calculate the centroid of a triangle plus the three line lengths. Includes PDF documentation.
By Bernard Michaud. 2022/08/07

ULAM   (details) Prime ENG   1KB/1KB
Uses Ulam's Conjecture to determine the number of steps it takes to reduce an integer N to 1.
By Eddie W. Shore. 2013/10/05

Unit Circle   (details) Prime ENG   1KB/3KB
ScreenshotDiagram of the unit circle for trigonometric math.
By Mickaël Nicotera. 2013/10/05

Vector Calculus Functions   (details) Prime ENG   5KB/8KB
ScreenshotA collection of some of the most common Vector Calculus functions for rectangular, cylindrical, and spherical coordinates. Includes curl, div, Jacobian, Laplacian, unit normal, and more.
By Hamorabi. 2019/12/29

Vectors   (details) Prime ENG   2KB/5KB
Performs vector calculations, adding and subtracting polar and Carstesian vectors (on 2 axis). Also has a graph preview.
By Raphaël Chatelain. 2021/01/17

Vertical Curve 1.01   (details) Prime ENG   2KB/6KB
ScreenshotCreates a list with station and elevation information in L0. If a value between the VPC and VPT is entered in "Special Station", it returns data for that station only, if left at 0 the entire curve will be returned at the interval specified.
By C.D. Dodds. 2014/10/18

Very Simple Neural Network   (details) Prime ENG   3KB/4KB
A very simple neural network. It is surprisingly slow (about 20s), even on a G2 Prime.
By Mark Power. 2019/12/29

Vunit 1.0   (details) Prime   1KB/1KB
ScreenshotProgram to get a unit vector from a vector with N elements.
By David González Gamboa. 2017/02/10

Wallis-Wasicki Pi Formula   (details) Prime ENG   5KB/3KB
ScreenshotUses the Wallis-Wasicki formula to calculate pi.
By Pinkman and Gerson Washiski Barbosa. 2020/07/05

Wilson Score   (details) Prime ENG   2KB/2KB
ScreenshotCalculates the Wilson Score interval, a good way for ranking things like popularity and skill of video game players, given the total number of trials and the number of "likes".
By Eddie W. Shore. 2017/08/25

Winsorising   (details) Prime ENG   2KB/1KB
Winsorising or Winsorisation is the transformation of statistics by limiting extreme values in the statistical data to reduce the effect of possibly spurious outliers. This program Winsorises the data. Values must be already in Statistic 1var (D1 matrix). The program puts the resulting items in D2.
By Salvo Micciché (salvomic). 2016/08/04

Wronskian   (details) Prime ENG   2KB/1KB
Calculates the Wronskian of a matrix, producing the determinant or the Wronskian matrix.
By Salvo Micciché (salvomic). 2015/08/23

Z Std Maths 0.001   (details) Prime ENG   6KB/10KB
Some standard mathematics routines, including base conversion, precision, and more.
By Stephen Lewkowicz (G1CMZ). 2017/02/11

Part of the HP Calculator Archive,
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