Number Theory

   

The Sequence of Palindromes N with Property that the Number of Primes 30k+7 and 30k+11 up to N is Equal

Authors: Marius Coman

In this paper I conjecture that there exist an infinity of palindromes n for which the number of primes up to n of the form 30k + 7 is equal to the number of primes up to n of the form 30k + 11 and I found the first 40 terms of the sequence of n (I also found few larger terms, as 99599, 816618 or 1001001 up to which the number of primes from the two sets, equally for each, is 1154, 8159, respectively 9817).

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[v1] 2016-12-29 01:16:00

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