2007-10-11, 05:33 | #1 |
May 2004
2^{2}·79 Posts |
Mally sequence
It is well known that there are infinite sequences of IMPOSSIBLE prime
factors of exponential functions of the type a^n+c where a belongs to N and is fixed, n is a variable belonging to N and c belongs to Z.(The only exception is 2^n-1 which has only 2 as an impossible factor.(For an example see seq A123239 of OEIS). Polynomials also have infinite sequences of IMPOSSIBLE prime factors and x^2 + x + 97 (x belongs to N) has the following infinite sequence of I.factors: 2,5,19........... Let me call this a Mally sequence ( in honour of late Mally). A.K.Devaraj |
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