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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...

12ヶ月前

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Monkey and the Peaches
A monkey picked a certain number of peaches on the first day. Each day, the monkey eats half of the remaining peaches plus one ...

12ヶ月前

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Determine if LTI system with feedback control is stable
Linear timeiinvariant systems can be represented by the differential equation , where is an matrix, is an vector representing...

12ヶ月前

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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...

12ヶ月前

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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...

12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...

12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 ...

12ヶ月前

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Chek the Delta = 6k gap conjecture 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...

12ヶ月前

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P(girl likes you | she smiled at you)
Compute the probability Given the input probabilities

12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...

12ヶ月前

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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...

12ヶ月前

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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...

12ヶ月前

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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 : ...

12ヶ月前

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

12ヶ月前

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

12ヶ月前

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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 ...

約1年前

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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 ...

約1年前

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

約1年前

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

約1年前

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

約1年前

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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...

約1年前

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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=...

約1年前

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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...

約1年前

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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...

約1年前

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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...

約1年前

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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...

約1年前

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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...

約1年前

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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...

約1年前

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Unique rows
A matrix is given as the input. Remove any duplicate rows from the matrix. keep the first occurrence.

約1年前

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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...

約1年前