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superpseudoprime puzzle 89

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  • djbroadhurst
    A base-b superpseudoprime is a non-semiprime composite number all of whose composite divisors are base-b pseudoprimes.
    Message 1 of 22 , Oct 2, 2009
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      A base-b superpseudoprime is a non-semiprime composite
      number all of whose composite divisors are base-b pseudoprimes.

      1340753*2011129*803278043*(89^11971-1)/88 is a gigantic
      base-89 superpseudoprime with precisely 11 composite divisors.

      Puzzle 89: For a base with 89 > b > 2, find a gigantic
      base-b superpseudoprime with precisely 26 composite divisors.

      Hint: For the meat, see http://aruljohn.com/Bible/kjv/luke/12/42

      David Broadhurst
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