Problem


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 ...

4 månader ago | 3 | 5 solvers

Solved


Baye's theorem on conditional probability
Let the given probabilities Compute the output probability

4 månader ago

Problem


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 ...

4 månader ago | 4 | 6 solvers

Solved


My wife's logic
Its is always the opposite of the causality law, that is to say the implication relationship in math/logic terms : Figure...

4 månader ago

Problem


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...

4 månader ago | 1 | 6 solvers

Solved


Extra colors
Context In the RGB color system used by Matlab, the color is a 1 x 3 / row vector [R G B] with each value/component R, G, B in ...

4 månader ago

Problem


Find the longest runs of primes generated by polynomials
Cody Problems 60942, 60943, and 60944 involve polynomials that generate primes. No polynomial can generate only prime numbers, b...

4 månader ago | 2 | 6 solvers

Solved


Check the integers decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...

4 månader ago

Solved


Check the 'golden prime squares' equation
Historical context In december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula : ...

4 månader ago

Solved


Euclid primes
Historical context Euclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he ...

4 månader ago

Solved


Fermat primes
Historical context The french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / co...

4 månader ago

Problem


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...

4 månader ago | 2 | 4 solvers

Solved


Ulam primes first formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers ...

4 månader ago

Solved


Ulam primes second formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given...

4 månader ago

Solved


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

4 månader ago

Solved


Primes 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...

4 månader ago

Solved


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=...

4 månader ago

Solved


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...

4 månader ago

Solved


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...

4 månader ago

Solved


The cake is a lie...
You're hosting a birthday party with a large number of screaming children. Fortunately, you have a gigantic sheet cake in front...

4 månader ago

Solved


Dominant Matrix - 02
It is a follow-up of the problem 55995. There, you found out whether a matrix is diagonally dominant or not. In this problem, y...

4 månader ago

Problem


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...

4 månader ago | 0 | 9 solvers

Problem


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...

5 månader ago | 0 | 8 solvers

Solved


Symmetric Pair
Given an (n, 2) matrix, remove any symmetric pairs from the matrix. Keep the first occurrence. (2, 3) and (3, 2) are considere...

5 månader ago

Solved


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...

5 månader ago

Solved


Last Duplicate
Given an array of integers, find the last duplicate element — that is, the element whose second occurrence appears latest in the...

5 månader ago

Solved


First Duplicate
Given an array of integers, return the first duplicate — i.e., the element that appears more than once and whose second appearan...

5 månader ago

Solved


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...

5 månader ago

Solved


Juros Simples
Faça uma função que calcule o montagem de um investimento com juros simples que receba como argumentos o capital inicial C, a ta...

5 månader ago

Solved


Greater than before
Given an array of integers, write a function that returns elements that are greater than the one before them. For instance, ...

5 månader ago

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