[seqfan] More composite numbers are needed for A226181
Tw Mike
mt.kongtong at gmail.com
Sun May 25 15:04:49 CEST 2014
Dear seqfans,
OEIS A226181:
3, 5, 7, 11, 13, 17, 19, 23, 29, 37, 41, 47, 53, 59, 61, 67, 71, 73, 79,
...
Primes p such that p−1 divided by the period of the binary expansion of 1/p
equals 2^x for some nonnegative integer x.
Composite numbers matching the conditions below 108 are:
12801, 348161, 3225601
Maybe all composite numbers matching the conditions are both Poulet numbers
and Proth numbers, but Joni Teräväinen say suspect that there is an n such
that n satisfies the condition but is not a Proth number. So more composite
numbers for A226181 are needed.
See the related question at mathoverflow: Are all counterexamples of OEIS
A226181 both Poulet numbers and Proth numbers? taged by nt.number-theory,
prime-numbers and sequences-and-series
Yours mike,
More information about the SeqFan
mailing list