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Frequencies of prime gaps
Problem statement Given two positive integers n and , write a function which computes the frequency of the gap between two ...

5 months ago

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Prime numbers which are the difference of two consecutive cubes
Problem statement Given a positive integer n greater than 2, find the prime numbers less or equal to n and which are the diff...

5 months ago

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List the near-square primes, p = n² + 1 (Landau's 4th problem)
Historical context At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime...

5 months ago

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List primes which are the sum of two consecutive lower primes plus minus one
Problem statement Some prime numbers can be written as the sum of two consecutive lower primes plus / minus one : Like t...

5 months ago

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Check p = 4n +/- 1, the generic formula for odd prime numbers
Problem statement For all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 : Check this f...

5 months ago

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Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3
Problem statement For all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 : ...

5 months ago

Solved

Find the Prime Factors and Divisors of a Number
Given a positive integer n, find its prime factors as well as all of its divisors. Example: n=12 has prime factors [2,2,3] and ...

5 months ago

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Generate Bernoulli polynomials
The Bernoulli polynomial is a polynomial of order with the properties that and for , where the prime denotes differentiat...

5 months ago

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Classify numbers as abundant, deficient, or perfect
A number is perfect if the sum of its proper divisors (i.e., divisors excluding the number itself) is equal to itself. For examp...

5 months ago

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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

5 months ago

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ICFP2024 001: Lambdaman 6
The ICFP2024 contest was held June29 thru July 1. The contest consisted of five parts: ICFP Language, Lambdaman maze, Starship f...

5 months ago

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Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

5 months ago

Problem

Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

5 months ago | 0 | 6 solvers

Solved

Shapiro Polynomials
Given an order n, return the coefficients of 1st Shapiro polynomials Pn(x) - %Example P1(x) = x + 1 => Output = [1 1]; P...

5 months ago

Problem

Shapiro Polynomials
Given an order n, return the coefficients of 1st Shapiro polynomials Pn(x) - %Example P1(x) = x + 1 => Output = [1 1]; P...

5 months ago | 0 | 8 solvers

Solved

Compute measurement uncertainty
Suppose a variable depends on independent variables , , . If the independent variables have uncertainty , , etc. and the uncer...

5 months ago

Solved

Rooky Towers
You are wandering and as you realise something's off, you find yourself lost in a peculiar place - Over a giant field which is ...

5 months ago

Problem

Rooky Towers
You are wandering and as you realise something's off, you find yourself lost in a peculiar place - Over a giant field which is ...

5 months ago | 1 | 10 solvers

Solved

Touchard Polynomial
Return the coefficients of nth (n>=0) Touchard polynomials - T1(x) = x; output = [1 0]; T2(x) = x^2 + x; output = [1 1 0]...

5 months ago

Discussion

Recursion - Looping or Vectorization
For some time now, this has been bugging me - so I thought to gather some more feedback/information/opinions on this. What wo...

5 months ago | 0

Problem

Touchard Polynomial
Return the coefficients of nth (n>=0) Touchard polynomials - T1(x) = x; output = [1 0]; T2(x) = x^2 + x; output = [1 1 0]...

5 months ago | 0 | 7 solvers

Problem

Padovan Polynomials
Hello there. I'm afraid I bear bad news - Anakin Skywalker is no longer a Jedi. But fear not young Padawan, we shall not falter...

5 months ago | 1 | 9 solvers

Solved

find powers of two
find the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n example: n = 23 result = [1 2 4 16] ...

5 months ago

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Sequence problem
find the nth term of the sequence: 790 1303 2033 ____ 4366 6095

5 months ago

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Total Area Covered by Overlapping Polygons
Given a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with t...

5 months ago

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Stirling Numbers - I
Problems #1388 & #45187 deal with Stirling numbers of the 2nd Kind. Here, generate the Stirling numbers S(n,k) of the 1st kind ...

5 months ago

Problem

Stirling Numbers - I
Problems #1388 & #45187 deal with Stirling numbers of the 2nd Kind. Here, generate the Stirling numbers S(n,k) of the 1st kind ...

5 months ago | 0 | 8 solvers

Solved

Bernstein Basis Polynomials
Return the coefficients of a Bernstein Basis Polynomial B(v,n) for degree n and order v - %Examples B(2, 5) = 10*x^2*(1-x)...

5 months ago

Problem

Bernstein Basis Polynomials
Return the coefficients of a Bernstein Basis Polynomial B(v,n) for degree n and order v - %Examples B(2, 5) = 10*x^2*(1-x)...

5 months ago | 0 | 8 solvers

Solved

Multiply real numbers to get the smallest integers
Write a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest a...

5 months ago