Number Theory

    

Primes Obtained Concatenating P Repeatedly with 6 Then with Q Where (P, q) Are Sexy Primes

Authors: Marius Coman

In this paper I make the following conjecture: for any k non-null positive integer there exist an infinity of pairs of sexy primes (p, q = p + 6) such that the number r formed concatenating p, repeatedly k times, with the digit 6 then with q is prime. Examples: for k = 1 there exist (p, q) = (11, 17) such that the number r = 11617 is prime; for k = 2 there exist the pair (p, q) = (31, 37) such that the number r = 316637 is prime.

Comments: 3 Pages.

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Submission history

[v1] 2016-04-01 05:42:08

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