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Re: [PrimeNumbers] A Prime Number Case to Consider

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  • Jens Kruse Andersen
    ... Consider these 8 consecutive primes: 18948901076698271690467136006698708653641386544429 1475408862860716126025520041510000 + n, for n = 0121, 0123, 0211,
    Message 1 of 2 , Jan 8, 2013
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      Bill Sindelar wrote:
      > Consider these 4 prime numbers namely, A= 1049681, B= 1049683,
      > C= 1049861, D=1049863. Some interesting facts are: One, A and B
      > are twins. C and D are twins and the pair (A, B) and the pair
      > (C, D) are consecutive twin pairs. Two, the digits that define A
      > are the same as the digits that define C and they sum to the twin
      > 29. The digits that define B are the same as the digits that
      > define D and they sum to the twin 31.

      Consider these 8 consecutive primes:
      18948901076698271690467136006698708653641386544429\
      1475408862860716126025520041510000 + n,
      for n = 0121, 0123, 0211, 0213, 1021, 1023, 1201, 1203

      They form four consecutive twin prime pairs where the lower twin
      members (n = 0121, 0211, 1021, 1201) contain the same digits,
      and so do the upper members (n = 0123, 0213, 1023, 1203).

      The smallest possible width in such a constellation is 1082 like
      in the above 84-digit example. The requirement for 1075 composite
      numbers would make it harder to find a small example.

      --
      Jens Kruse Andersen
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