## Re: [PrimeNumbers] A sieve for twin primes

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• From: Joseph Moore Date: 12/30/05 14:51:01 To: Kermit Rose; primenumbers@yahoogroups.com Subject: Re: [PrimeNumbers] A sieve for twin primes That particular
Message 1 of 3 , Jan 2, 2006
From: Joseph Moore
Date: 12/30/05 14:51:01
Subject: Re: [PrimeNumbers] A sieve for twin primes

That particular sieve has been around since (at least)
January of 2000 when it was posted by Maria Suzuki in
the American Mathematical Monthly journal.

Which types of primes do you get when you replace the
6 with other numbers? E.g., 4mn +/- m +/- n. Can
other prime sieves be written in this (or a similar)
form successfully?

Joseph.

*****************

From Kermit Rose
kermit@...

4 m n + m + n and

4 m n - m - n

sieves out all numbers which generate 4 D + 1.

4 m n + m - n
and
4 m n - m + n

sieves out all numbers which generate 4 D - 1.

In general

A m n + m + n and

A m n - m - n

sieves out all numbers which generate 4 D + 1.

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