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(6n-1) type prime and (6n + 1) type prime

Posted 6 years ago
POSTED BY: Koichi Ohno
2 Replies

Greetings Koichi Ohno,

I have been learning about prime numbers for the last two years. I have focused on the (6n-1) (6n+1) pair relationship, and I have found some similar information.

Have you considered the ratios of Primes to all numbers in this subset The same ratio for Twin Primes and Double Twin Primes are interesting.

If you are interested, I have used this and other patterns that I have to develop an efficient sieve. One of the places I have discussed this idea is here: https://coderanch.com/t/791015/languages/Prime-Number-Sieve-Idea

I would be interested to hear what you think about these other patterns.

Bill Donelson

POSTED BY: William Donelson
Posted 2 years ago

Greetings Koichi Ohno,

Suppose there were a much simpler way of identifying composite numbers in the sequences produced by these expressions. One could simply say "the nth number in this sequence is/is not prime" without needing to know anything about the number at that point in the sequence. Would this be of any value? Does something like this already exist?

POSTED BY: Nicholas Holan
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