A New Generation of Mathematicians Pushes Prime Number Barriers

Seldom Bucket

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More than 2,000 years ago, the Greek mathematician Eratosthenes came up with a method for finding prime numbers that continues to reverberate through mathematics today. His idea was to identify all the primes up to a given point by gradually “sieving out” the numbers that aren’t prime. His sieve starts by crossing out all the multiples of 2 (except 2 itself), then the multiples of 3 (except 3 itself). The next number, 4, is already crossed out, so the next step is to cross out the multiples of 5, and so on. The only numbers that survive are primes — numbers whose only divisors are 1 and themselves
 

Sonikku

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Oct 16, 2023
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Number sieves are very very interesting things. I urge everyone to at least play with them once.
For example:

Also, in case it is not known, prime numbers occur in nature- Cicadas emerge in safe periods which correspond to prime number cycles
 
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