

A297447


Values of n for which pi_{8,5}(p_n)  pi_{8,1}(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).


2



30733704, 30733708, 30733714, 30733726, 30733729, 30733733, 30733743, 30733762, 30733764, 30733777, 30733781, 30733796, 30733853, 30733857, 30733860, 30733866, 30733880, 30733887, 30733890, 30734262
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OFFSET

1,1


COMMENTS

This is a companion sequence to A297448. The first two signchanging zones were discovered by Bays and Hudson back in 1979. We discovered four additional zones starting from a(22794) = 186422420112. The full sequence with all 6 zones checked up to 5*10^14 contains 664175 terms (see afile) with a(664175) = 6097827689926 as its last term.
This sequence was checked up to 10^15 and the 7th signchanging zone starting from a(664176) = 27830993289634 and ending with a(850232)= 27876113171315 was found.  Andrey S. Shchebetov and Sergei D. Shchebetov, Jul 28 2018


LINKS

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


CROSSREFS

Cf. A007350, A007351, A038691, A051024, A051025, A066520, A096628, A096447, A096448, A199547, A275939, A295354.


KEYWORD

nonn


AUTHOR



STATUS

approved



