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[PrimeNumbers] Re: Consecutive primes on a prime leash

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  • Jens Kruse Andersen
    ... I computed 47315761 more quintuplets to search for 20 doubly consecutive primes . There wasn t any - but there was 21! n=446863043340173267 and
    Message 1 of 11 , Mar 21, 2006
      Mark Underwood wrote:
      > The 9 primes after 1260 are
      > 1260 + (17, 19, 23, 29, 31, 37, 41, 43, 47).

      I wrote:
      > I have found 3 cases of 19 "doubly consecutive primes".
      > 34837285 prp quintuplets were computed

      I computed 47315761 more quintuplets to search for 20 "doubly
      consecutive primes". There wasn't any - but there was 21!

      n=446863043340173267 and n=534402442999154537 both give consecutive primes:
      n + (0,2,56,62,80,110,146,150,152,170,230,234,252,264,276,
      290,294,296,300,302,344)

      The same in Mark's notation:
      87539399658981270 + (446863043340173267, ..., 446863043340173611)

      GMP prp'ed and PARI/GP proved. This time "sort" worked on a 3.4 GB file.
      I had to delete things to get room. The search has stopped.

      --
      Jens Kruse Andersen
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