Number Theory


Conjecture on the Pairs of Primes Obtained Inserting N with Digit Sum 12 After the First Digit of Twin Primes

Authors: Marius Coman

In this paper I conjecture that for any pair of twin primes [p, q], p ≥ 11, there exist a number n having the sum of its digits equal to 12 such that inserting n after the first digit of p respectively q are obtained two primes (almost always twins, as in the case [1481, 1483] where n = 48 is inserted in [11, 13], beside the case that the first digit of twins is different, as in the case [5669, 6661] where n = 66 is inserted in [59, 61]).

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[v1] 2017-05-16 03:47:59

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