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 ...
10ヶ月 前
解決済み
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 :
...
10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 ...
10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...
10ヶ月 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 ...
10ヶ月 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...
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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Frequencies of prime gaps
Problem statement
Given two positive integers n and , write a function which computes the frequency of the gap between two ...
Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1.
Hint: use increment.
11ヶ月 前
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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for:
A = [ 1 5 8 ]
then
B = [ 1 1 5 ...
11ヶ月 前
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Create a vector
Create a vector from 0 to n by intervals of 2.
11ヶ月 前
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Flip the vector from right to left
Flip the vector from right to left.
Examples
x=[1:5], then y=[5 4 3 2 1]
x=[1 4 6], then y=[6 4 1];
Request not to use d...
Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...
11ヶ月 前
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Counting Sequence
Given a vector x, find the "counting sequence" y.
A counting sequence is formed by "counting" the entries in a given sequence...
Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series:
pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
For a given number of...
11ヶ月 前
解決済み
Pi Digit Probability
Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...