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Re: [PrimeNumbers] Prime question

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  • Décio Luiz Gazzoni Filho
    ... Hash: SHA1 ... No, the first counter-example is 2 + 3 + 5 + ... + 71 + 73 = 712. 712 + 2 = 714 is even and 712 + 3 = 715 is divisible by 5. Décio ...
    Message 1 of 62 , Jun 22, 2004
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      On Tuesday 22 June 2004 19:21, you wrote:
      > I have found that the sum of all the prime number to a number plus 2
      > or 3 alternating gives a prime number
      >
      > for example:
      >
      > 2 +3 = 5
      > 2+3 +2 = 7
      > 2+3+5 +3 = 13
      > 2+3+5+7 +2 = 19
      > 2+3+5+7+11 + 3 = 31
      > 2+3+5+7+11+13 +2 = 43
      > ect.
      >
      > I will like to know if this is thruth in all the cases

      No, the first counter-example is 2 + 3 + 5 + ... + 71 + 73 = 712. 712 + 2 =
      714 is even and 712 + 3 = 715 is divisible by 5.

      Décio
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    • Jud McCranie
      ... No it doesn t, it fails for: # terms sum 21 715 22 793 24 965 27 1267 30 1595 etc.
      Message 62 of 62 , Jun 22, 2004
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        At 06:21 PM 6/22/2004, edmorrey wrote:
        >I have found that the sum of all the prime number to a number plus 2
        >or 3 alternating gives a prime number
        >
        >for example:
        >
        >2 +3 = 5
        >2+3 +2 = 7
        >2+3+5 +3 = 13
        >2+3+5+7 +2 = 19
        >2+3+5+7+11 + 3 = 31
        >2+3+5+7+11+13 +2 = 43
        >ect.
        >
        >I will like to know if this is thruth in all the cases

        No it doesn't, it fails for:

        # terms sum
        21 715
        22 793
        24 965
        27 1267
        30 1595
        etc.
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