[seqfan] Re: Proposal for "Big Numbers" paper

Andrew Weimholt andrew.weimholt at gmail.com
Sat Feb 22 22:25:49 CET 2014


Let's not forget
19568584333460072587245340037736278982017213829337604336734362
294738647777395483196097971852999259921329236506842360439300

which is the period of A000790, the Primary Pretenders


see paper by

J. H. Conway, R. K. Guy, W. A. Schneeberger and N. J. A. Sloane, The
Primary Pretenders

http://neilsloane.com/doc/guy.ps


quoting from their paper above...


"What is this number? Well, it's p!59p!9, where p!k is the product of the
first k primes, p1p2 ···pk. And where do p59 and p9 come from? p59 = 277 is
the largest possible prime factor, and p9 = 23 is the largest possible
repeated prime factor, of a composite number less than the Carmichael
number 561."


Andrew


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