Number Theory


Conjecture on Odd Semiprimes Which Are Harshad Numbers that Relates Them with 2-Poulet Numbers

Authors: Marius Coman

In a previous paper I conjectured that for any largest prime factor of a Poulet number p1 with two prime factors exists a series with infinite many Poulet numbers p2 formed this way: p2 mod (p1 - d) = d, where d is the largest prime factor of p1 (see the sequence A214305 in OEIS). In this paper I conjecture that for any least prime factor of an odd Harshad number h1 with two prime factors, not divisible by 3, exists a series with infinite many Harshad numbers h2 formed this way: h2 mod (h1 - d) = d, where d is the least prime factor of p1.

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Submission history

[v1] 2016-12-09 03:46:53

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