Number Theory


Primes Obtained Concatenating the Numbers 30-D(n) Where D(1),...,d(n) Are the Digits of a Poulet Number

Authors: Marius Coman

In this paper I make the following observation: for many Poulet numbers (I conjecture that for an infinity of them) the numbers obtained concatenating 30 – d(1), 30 – d(2),..., 30 – d(n), where d(1),..., d(n) are the digits of a n-digits Poulet number, are primes. Example: for 8911 the number obtained concatenating 22 = 30 – 8 with 21 = 30 – 9 with 29 = 30 – 1 with 29 = 30 – 1, i.e. the number 22212929, is prime.

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[v1] 2017-06-04 12:51:12

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