Number Theory

   

Two Conjectures on the Number of Primes Obtained Concatenating to the Left with Numbers Lesser Than P a Prime P

Authors: Marius Coman

In this paper I conjecture that: (I) for any prime p of the form 6*k + 1 there are obtained at least n primes concatenating p to the left with the (p – 1) integers lesser than p, where n ≥ (p - 10)/3; (II) for any prime p of the form 6*k – 1, p ≥ 11, there are obtained at least n primes concatenating p to the left with the (p – 1) integers lesser than p, where n ≥ (p - 8)/3.

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[v1] 2016-12-15 06:24:20

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