Loading ...
Sorry, an error occurred while loading the content.
 

Re: [PrimeNumbers] A sieve for twin primes

Expand Messages
  • Kermit Rose
    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
      To: Kermit Rose; primenumbers@yahoogroups.com
      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.

      [Non-text portions of this message have been removed]
    Your message has been successfully submitted and would be delivered to recipients shortly.