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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

355.0. "Composite k*2^n+1" by TOOLS::STAN () Thu Oct 17 1985 14:43

(Mike Filaseta)

Suppose that k>1 is an odd integer such that k*2^n+1 is
composite for every integer n>=0.  Is it true that there are
positive integers a[1], a[2], ... a[r] > 1 (depending on k)
such that for every integer n>=0, k*2^n+1 is divisible by a[j] for
some j in 1..r?
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