Number Theory

   

Primes Obtained Concatenating to the Left a Prime Having an Odd Prime Digit Sum S with a Multiple of S-1

Authors: Marius Coman

In a previous paper, “Primes obtained concatenating to the left a prime having an odd prime digit sum s with a divisor of s - 1”, I observed that for many primes p having an odd prime digit sum s there exist a prime obtained concatenating p to the left with a divisor of s – 1. In this paper I conjecture that for any prime p, p ≠ 5, having an odd prime digit sum s there exist an infinity of primes obtained concatenating to the left p with multiples of s – 1. Yet I conjecture that there exist at least a prime obtained concatenating n*(s – 1) with p such that n < sqr s.

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[v1] 2017-05-07 11:22:44

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