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200322^m+3^n and 2^n+3^m

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  • David Broadhurst
    Apr 9, 2009
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      Mark Underwood's most interesting sequence for the OEIS
      might be the cases for which his conjecture fails, namely

      "Numbers n such that there are no primes of the forms
      2^m+3^n or 2^n+3^m for m < n"

      This sequence begins with

      n = 1679, 1743 ...

      but Mark would need two more entries to satisfy Neil Sloane.
      PFGW records that there are no more with n < 2500.
      Heuristics suggest that more exist, beyond that paltry limit.

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