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Re: 870, 12, 3, 2

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  • Mark Underwood
    ... Incredible find! And of course the prime tuple or constellation is symmetrical to boot. ... Hey, some of us rely on surprises that low , hehe. Mark
    Message 1 of 8 , Dec 1, 2008
      --- In primenumbers@yahoogroups.com, "Jens Kruse Andersen" <jens.k.a@...> wrote:
      >
      > I returned to this after completing some other tasks.
      >
      > 320572022166380880 +/- 30 +/- 9 +/- 5 +/- 3 gives 16 distinct
      > consecutive primes. They can also be written:
      > 320572022166380880 +/- n, for n = 13, 19, 23, 29, 31, 37, 41, 47.
      >
      > It is the shared second tightest admissible pattern for
      > 16 distinct primes produced by the additive combinations of
      > 5 numbers where the largest is always added.

      Incredible find! And of course the prime tuple or constellation is symmetrical to boot.


      > The 37 tightest patterns were searched to some limit.
      > 4 of them had a case with 16 primes but only one case had
      > consecutive primes.
      > The 5 numbers, the difference between the 1st and 16th prime,
      > and the number of other primes between them are:
      > {320572022166380880, 30, 9, 5, 3}, difference 94, 0 other.
      > {87291414128856315, 33, 18, 12, 5}, difference 136, 2 other.
      > {57312341532495501, 24, 21, 15, 10}, difference 140, 1 other.
      > {82911614607, 45, 15, 7, 3}, difference 140, 1 other.
      >
      > The last case was a surprise at only 11 digits.
      > It is the only occurrence of that pattern below 10^18.

      Hey, some of us rely on surprises that 'low', hehe.

      Mark
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