Number Theory


Poulet Numbers Which Can be Written as X^3±y^3

Authors: Marius Coman

It is well known the story of the Hardy-Ramanujan number, 1729 (also a Poulet number), which is the smallest number expressible as the sum of two cubes in two different ways, but I have not met yet, not even in OEIS, the sequence of the Poulet numbers which can be written as x^3±y^3, sequence that I conjecture in this paper that is infinite. I also conjecture that there are infinite Poulet numbers which are centered cube numbers (equal to 2*n^3 + 3*n^2 + 3*n + 1), also which are centered hexagonal numbers (equal to 3*n^2 + 3*n + 1).

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[v1] 2017-04-23 04:09:15

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