Number Theory

    

Conjecture on an Infinity of Poulet Numbers Which Are Also Triangular Numbers

Authors: Marius Coman

I was studying the sequences of primes obtained applying concatenation to some well known classes of numbers, when I discovered that the second Poulet number, 561 (also the first Carmichael number, also a very interesting number – I wrote a paper dedicated to some of its properties), is also a triangular number. Continuing to look, I found, up to the triangular number T(817), if we note T(n) = n*(n + 1)/2 = 1 + 2 +...+ n, fifteen Poulet numbers. In this paper I state the conjecture that there exist an infinity of Poulet numbers which are also triangular numbers.

Comments: 2 Pages.

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Submission history

[v1] 2016-04-10 02:09:11

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