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24336Re: Primes again [really Mordell's equation]

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  • kevinacres
    Jul 31, 2012
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      --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@...> wrote:
      > http://oeis.org/A173795
      > shows the origin of my Prime Puzzle 36.
      > > Second hint: Jens Kruse Andersen has already high-lighted
      > > Donovan Johnson's prime, in a closely related Prime Puzzle.
      > http://www.primepuzzles.net/puzzles/puzz_563.htm
      > show a cognate Prime Puzzle, illuminated by Jens.

      Results from a neat little algorithm devised by David Broadhurst has allowed extension of the above puzzle.

      In particular the prime number 107122676734733201 is a combination of positive cubes and squares in 14 different ways.

      David's investigations also unearthed a couple of primes (4417190430889897 and 84658174289284249), originally found in a search by Noam Elkies, that are combinations of positive cubes and squares in 11 and 12 different ways respectively.


      is now updated with these three new entries.

      Many thanks to David for both his algorithmic ingenuity and scholarly archeology.

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