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Nth roots of unity
First, find the n nth roots of unity. eg if n = 6, find the n distinct (complex) numbers such that n^6 = 1. <https://en.wiki...

11 Monate vor

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Counting the Grand Primes
A grand prime pair is a pair of primes, p1 and p2=p1+1000, such that both numbers are prime. Like a twin prime pair, where the d...

11 Monate vor

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Pseudo Square Root (Inspired by Project Euler 266)
Shamelessly copied from the Project Euler page for Problem 266: ------------- The divisors of 12 are: 1,2,3,4,6 and 12. T...

11 Monate vor

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Hilbert numbers
Given a positive integer, n, return h as follows: 1. If n is not a <https://en.wikipedia.org/wiki/Hilbert_number Hilbert numb...

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Bouncy numbers
Inspired by Project Euler n°112. Working from left-to-right if no digit is exceeded by the digit to its left it is called an ...

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Optimum Egyptian Fractions
Following problem was inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2126-split-bread-like-the-pharaohs-egypt...

11 Monate vor

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Pandigital Factors (Based on Euler 491)
A Pandigital Number is a number containing all of the digits from 0-9 inclusive, with the added stipulation that it does not hav...

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is the number happy?
test is a given integer number is Happy of not? answer 1 if yes or 0 is no

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Make a Pandiagonal Prime Magic Square: 11 x 11
This Fun with Primes Challenge is to create a Pandiagonal Prime Magic Square of size 11x11 given eleven APk sequences with 10 co...

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Temperature Conversion Utility (Strings)
This is a follow-on problem to <http://www.mathworks.com/matlabcentral/cody/problems/2413-temperature-conversion-utility Problem...

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Concatenated roots
Which is the value of this infinte concatenated roots? <<https://s27.postimg.org/i4hkin7xf/Code_Cogs_Eqn.gif>> Note: If ...

11 Monate vor

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Church Encoding
Church encoded numeral is a function which takes two arguments _f_ and _x_ and applies _f_ to _x_ several times. For example,...

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Determinant without using det()
Given a square matrix A, compute the <http://en.wikipedia.org/wiki/Determinant determinant> of A. Note that you may not use t...

11 Monate vor

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Number of even divisors of a given number
Given a Number n, return the number of its even divisors without listing them. example: n=14 ; EvenDivisors={2,14} ; y=2 ...

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Accurate Division
Given three integers x, y and d, return x/y (as a string) to d significant digits. Remove leading and trailing zeros. Example...

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Mesh the convex hull of a random 3D point cloud
Problem statement The convex hull of a 3D point set is actually a first -though rough- triangulation of it. A triangulation,...

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Mesh the icosahedron
Problem statement An icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five...

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Mesh the dodecahedron
Problem statement An dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the fiv...

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Build triangulation from -sorted- edge list
Problem statement An edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each intege...

11 Monate vor

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Check Euler's characteristic on regular polyhedra
Problem statement Given the number of vertices and the number of faces of a given regular polyhedron, compute the number of its...

11 Monate vor

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Mesh the square with triangles
Problem statement An square is a regular polygon with 4 vertices and 4 edges. A triangulated mesh T (stands for triangles he...

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Pitting corrosion on a metal plate: Count the number of pits
You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

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Identify Ruth-Aaron numbers
After Hank Aaron hit his 715th home run and passed Babe Ruth’s total of 714, Carl Pomerance noticed that the union of the prime ...

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(Linear) Recurrence Equations - Generalised Fibonacci-like sequences
This problem is inspired by problems <http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187>, <htt...

11 Monate vor

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Mesh the pentagon (with the minimum number of triangles)
Problem statement An pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V,...

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Mesh the tetrahedron
Problem statement An tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five w...

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Mesh the cube
Problem statement : mesh the cube with quadranglar / squared faces An cube / regular hexahedron is a regular polyhedron with ...

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Mesh the octahedron
Problem statement An octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five we...

11 Monate vor

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Linear primes p' = mp + n
Problem statement List the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' < k, k positive in...

11 Monate vor

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List the complementary / symetric prime couples
Problem statement For a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n. NB : a number li...

11 Monate vor