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Consec primes with gap 300.

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  • zak seidov
    Can anyone know or find 3 (or more)  consecutive primes with common gap 300? Just from curiosity, thanks [Non-text portions of this message have been removed]
    Message 1 of 5 , Apr 3, 2013
      Can anyone know or find 3 (or more) 
      consecutive primes with common gap 300?
      Just from curiosity,
      thanks

      [Non-text portions of this message have been removed]
    • Norman Luhn
      Here is an example. 46242 * 300#+1511 +300n, n=0,1,2 Best
      Message 2 of 5 , Apr 3, 2013
        Here is an example.

        46242 * 300#+1511 +300n, n=0,1,2


        Best
      • Jens Kruse Andersen
        ... 300 is divisible by 2, 3, 5, but not 7. This means the largest possible number of primes is 6. You may be interested in
        Message 3 of 5 , Apr 3, 2013
          zak seidov wrote:
          > Can anyone know or find 3 (or more)
          > consecutive primes with common gap 300?

          300 is divisible by 2, 3, 5, but not 7. This means the largest possible
          number of primes is 6.
          You may be interested in http://users.cybercity.dk/~dsl522332/math/cpap.htm
          but there is nothing special about 300 and it doesn't have entries for that.
          I have computed this CPAP5 for you:
          11116255589996362952033135566508763162013095635774293696655018934\
          515976099942842562196268806871004370068877 + 300n, for n = 0..4

          A CPAP6 would take a little longer.

          --
          Jens Kruse Andersen
        • Jens Kruse Andersen
          A CPAP6: 81489393354559985770761328291873223583088179908321240193086699175 91814392615001383787116142700999743099 + 300n, for n = 0..5 -- Jens Kruse Andersen
          Message 4 of 5 , Apr 3, 2013
            A CPAP6:
            81489393354559985770761328291873223583088179908321240193086699175\
            91814392615001383787116142700999743099 + 300n, for n = 0..5

            --
            Jens Kruse Andersen
          • Maximilian Hasler
            This would be the 51-st term of A052187: Primes p such that p, p+d and p+2d are consecutive primes for some d 0 and each successive d is greater than any prior
            Message 5 of 5 , Apr 3, 2013
              This would be the 51-st term of A052187: Primes p such that p, p+d and
              p+2d are consecutive primes
              for some d>0 and each successive d is greater than any prior d.

              and the 10-th term of the newly added A224324: First of three
              consecutive primes in arithmetic progression with gap of 30n.

              Maximilian


              On Wednesday, April 3, 2013, zak seidov <zakseidov@...> wrote:
              >
              >
              > Can anyone know or find 3 (or more)
              > consecutive primes with common gap 300?
              > Just from curiosity,
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