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Re: 13-chains of consecutive smooth numbers

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  • Andrey Kulsha
    ... No, I think that log/log ratio has no limit. ... Brute force search yielded: N = 505756884840 for 14-chain N = 285377140980 for 15-chain N = 32290958458
    Message 1 of 17 , Mar 5, 2012
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      > Andrey's chain puzzle is interesting. Could it
      > be he already has found the maximum possible
      > result for chain length 13?

      No, I think that log/log ratio has no limit.

      > Perhaps the 14-chain at N = 4532039198639948
      > might be a good result? What are the best known
      > results for 14 or longer chains?

      Brute force search yielded:
      N = 505756884840 for 14-chain
      N = 285377140980 for 15-chain
      N = 32290958458 for 16-chain
      as listed in http://www.primefan.ru/stuff/math/maxs.xls
      (there k+1 is chain length)

      Best regards,

      Andrey
    • Jim White
      Andrey,   I can t use that file, I don t have XL.  Any chance of a text export? eg comma-separated fields     ________________________________ From:
      Message 2 of 17 , Mar 5, 2012
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        Andrey,
         
        I can't use that file, I don't have XL.  Any chance
        of a text export? eg comma-separated fields
         
         

        ________________________________
        From: Andrey Kulsha <Andrey_601@...>
        To: PrimeNumbers@...
        Sent: Tuesday, 6 March 2012, 6:28
        Subject: [PrimeNumbers] Re: 13-chains of consecutive smooth numbers



         

        > Andrey's chain puzzle is interesting. Could it
        > be he already has found the maximum possible
        > result for chain length 13?

        No, I think that log/log ratio has no limit.

        > Perhaps the 14-chain at N = 4532039198639948
        > might be a good result? What are the best known
        > results for 14 or longer chains?

        Brute force search yielded:
        N = 505756884840 for 14-chain
        N = 285377140980 for 15-chain
        N = 32290958458 for 16-chain
        as listed in http://www.primefan.ru/stuff/math/maxs.xls
        (there k+1 is chain length)

        Best regards,

        Andrey



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