Number Theory

   

Conjecture on Primes Obtained Concatenating p, N and P+n, Where P and P+n Primes

Authors: Marius Coman

In this paper I make the following conjecture: For any n even there exist an infinity of primes which can be deconcatenated in three numbers, i.e., from left to right, p, n and p + n, where p and p + n are primes. Examples: for n = 2, the least such prime is 11213 (11 + 2 = 13); for n = 4, the least such prime is 347 (3 + 4 = 7); for n = 6, the least such prime is 11617 (11 + 6 = 17); for n = 8, the least such prime is 5813 (5 + 8 = 13); for n = 10, the least such prime is 31013 (3 + 10 = 13); for n = 12, the least such prime is 51217 (5 + 12 = 17); for n = 14, the least such prime is 51419 (5 + 14 = 19); for n = 16, the least such prime is 431659 (43 + 16 = 59).

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[v1] 2017-04-17 17:31:06

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