

A295355


Values of n for which pi_{24,13}(p_n)  pi_{24,1}(p_n) = 1, where p_n is the nth prime and pi_{m,a}(x) is the number of primes <= x which are congruent to a (mod m).


7



36826322708, 36826322724, 36826322769, 36826322776, 36826322790, 36826322804, 36826323283, 36826323287, 36826323293, 36826323310, 36826323320, 36826323340, 36826326663, 36826326763, 36826326784, 36826326786, 36826326812, 36826326824, 36826326834, 36826326849
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OFFSET

1,1


COMMENTS

This is a companion sequence to A295356. The sequence (primes only, without exact n for the first and last terms as well as the number of terms) was found by Bays and Hudson in 1978 (see references). The full sequence up to 10^15 contains 6 signchanging zones with 2381904 terms in total with A(2381904) = 21113714560133 as the last one.
We found the 7th signchanging zone between 10^15 and 10^16. It starts with a(2381905) = 245086804685432, ends with a(2792591) = 245853749127075 and contains 410687 terms.  Andrey S. Shchebetov and Sergei D. Shchebetov, Apr 26 2019


LINKS

M. Rubinstein, P. Sarnak, Chebyshev’s bias, Experimental Mathematics, Volume 3, Issue 3, 1994, Pages 173197.


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



