Number Theory

   

Primes Obtained Concatenating the Numbers S(p)-D(k), Where S(p) is the Sum of Digits of a Prime P and D(1),...,d(k) the Digits of P

Authors: Marius Coman

In this paper I make the following conjecture: There exist an infinity of primes p having the property that concatenating s(p) – d(1) with s(p) – d(2) and repeatedly up to s(p) – d(k), where s(p) is the sum of digits of p and d(1),...,d(k) are the digits of p, is obtained a prime q. Example: such prime p is 127 because concatenating 9 (= 10 – 1) with 8 (= 10 – 2) and with 3 (= 10 – 7) is obtained a prime q = 983.

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Submission history

[v1] 2017-06-21 00:28:19

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