Number Theory


Conjecture on 2-Poulet Numbers of the Form (4h+1)(4k+1)

Authors: Marius Coman

In this paper I conjecture that for any 2-Poulet number (Fermat pseudoprime to base 2 with two prime factors, see the sequence A214305 in OEIS) of the form (4*h + 1)*(4*k + 1) is true that h and k can not be relatively primes (in fact, for sixteen from the first twenty 2-Poulet numbers of this form is true that k is a multiple of h and this is also the case for four from a randomly chosen set of five consecutive, much larger, such numbers).

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[v1] 2017-01-23 13:26:30

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