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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

9ヶ月前

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List the twin prime couples
Problem statement The twin prime couples (p,p') are the ones such that p' = p + 2. For a given integer n > 1, list the twin p...

9ヶ月前

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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...

9ヶ月前

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Determine whether a number is a seesaw number
Cody Problem 60957 dealt with balanced primes. In that case, balance was measured in terms of the average of primes around a giv...

9ヶ月前

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Chek the Delta = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...

10ヶ月前

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List balanced primes
A balanced prime of order is one that equals the average of the primes before it and the primes after it. For example, 79 is ...

10ヶ月前

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List mean-of-2 primes
The prime number 53 is the average of the first prime before it (47) and the first prime after it (59), and the prime number 11 ...

10ヶ月前

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Compile evidence for the Carmichael totient conjecture
The totient function counts the positive integers up to that are relatively prime to . The Carmichael totient conjecture state...

10ヶ月前

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List even numbers whose Goldbach partition does not use the largest prime
The strong Goldbach conjecture says that every even number greater than 2 can be expressed as a sum of two prime numbers—that is...

10ヶ月前

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Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula to give some prime numbers. Problem...

10ヶ月前

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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...

10ヶ月前

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Cody problems in French : Trouvez la logique Pt.2
Trouvez la logique entre x et y, aidez-vous de la test suite. Bon courage. P.S: L'utilisation de "^" est de nouveau fortement...

10ヶ月前

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Find the first occurence of a given gap between two consecutive prime numbers
Given a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f. For examples : If , f=...

10ヶ月前

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

10ヶ月前

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Breaking up a chocolate bar
You've got a chocolate bar of size , and you want to break it up into bite-sized () pieces. How many steps are required to do th...

10ヶ月前

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Classify triangles as acute, obtuse, or right
In an acute triangle, the three interior angles are acute, or smaller than 90 degrees. In an obtuse triangle, one angle is obtus...

10ヶ月前

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Compute the antisigma function
The sum of divisors function, or , is the sum of the numbers that divide . The antisigma function is the sum of numbers less tha...

11ヶ月前

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Most Frequent Characters
Given a document file or a character array, identify the 'n' most frequently occurring characters and the number of times each a...

11ヶ月前

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Pairs with Given Sum
Given an array of integers and a target sum, return all unique pairs whose sum is equal to the target. The output should be a ma...

11ヶ月前

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Intersect three sequences
Most numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number a...

11ヶ月前

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Largest Small n-Polygons or Biggest Little Polygon
Largest Small n-Polygons or Biggest Little Polygon for a number n is the polygon that has diameter one and that has the largest ...

11ヶ月前

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Maze Solver with Backtracking and Custom Cost Rules
Write a function solve_maze that finds a path from the top-left corner (1,1) to the bottom-right corner (m,n) of a 2D matrix M, ...

11ヶ月前

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Find the summation of factorial series
Factorial numbers are n! = 1*2*3....*n the series is 1!, 2!, 3!,........, n!

12ヶ月前

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What kind of triangle?
Write a function named check_triangle that receives three positive integers as input: a, b, and c. These three numbers are inte...

12ヶ月前

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Count Vowels at Even Indices
Write a function `vowelEvenIndices` that counts the number of vowels (a, e, i, o, u) located at even indices (0-based) in a give...

約1年前

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Check if a Number is a Palindrome Without Converting to String
Write a function that checks if a given positive integer is a palindrome without converting the number to a string or using stri...

約1年前

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Zero Out Negative Elements
Write a MATLAB function called zeroNegatives that takes a numeric vector v as input and returns a modified version where all neg...

約1年前

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Find the closest e-abundant numbers
An abundant number is an integer whose sum of its positive proper divisors—or the sum of its divisors excluding itself—exceeds ...

約1年前

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Permuted Multiples: Project Euler Problem 52
Return the smallest positive integer, x, for which x, 2x, 3x, 4x, 5x, and 6x, all contain the same digits but in different order...

約1年前

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List e-perfect numbers
A perfect number is an integer that equals the sum of its positive proper divisors—or the sum of its divisors excluding itself. ...

約1年前