2018•viXraOpen access
Seven sequences of Poulet numbers selected by some properties of their digits product
Marius Coman
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Abstract
In this paper I present seven sequences of Poulet numbers selected by some properties of their digits product: (1) - (5) Poulet numbers for which the product of their digits is equal to (1) q^2 – 1, where q prime; (2) q^2 – 9, where q prime; (3) 9*q^2 – 9, where q prime; (4) 2^n, where n natural; (5) Q – 1, where Q is also a Poulet number and (6) – (7) Poulet numbers divisible by 5 for which the product of their digits taken without the last one is equal to (6) q^2 – 1, where q prime; (7) Q – 1, where Q is also a Poulet number. Finally, I conjecture that all these seven sequences have an infinity of terms.