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Re: Certain Pairs of Consecutive Prime Numbers

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  • djbroadhurst
    ... A gap of 210 should be quite favourable. For example [517931323112963, 517931323113173, 109283509176835403, 108247646530609057, 109283509176879293,
    Message 1 of 2 , Jan 21, 2011
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      --- In primenumbers@yahoogroups.com,
      "w_sindelar@..." <w_sindelar@...> wrote:

      > CONSECUTIVE primes P<Q, such that
      > A=P*(Q-P)+Q, B=P*(Q-P)-Q, C=Q*(Q-P)+P and
      > D=Q*(Q-P)-P are simultaneously prime

      > a large example with gap (Q-P)=126:
      > (15382097323, 15382097449,
      > 1953526360147, 1922762165249,
      > 1953526375897, 1922762181251)

      A gap of 210 should be quite favourable. For example

      [517931323112963, 517931323113173,
      109283509176835403, 108247646530609057,
      109283509176879293, 108247646530653367]

      [5729530433213371, 5729530433213581,
      1208930921408021491, 1197471860541594329,
      1208930921408065381, 1197471860541638639]

      [143421448704418501, 143421448704418711,
      30261925676632303921, 29975082779223466499,
      30261925676632347811, 29975082779223510809]

      In each case, the first two primes (p,p+210) are consecutive.

      David
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