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A297448
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Primes p for which pi_{8,5}(p) - pi_{8,1}(p) = -1, where pi_{m,a}(x) is the number of primes <= x which are congruent to a (mod m).
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2
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588067889, 588068009, 588068093, 588068309, 588068333, 588068477, 588068717, 588069137, 588069169, 588069409, 588069529, 588069809, 588070897, 588070949, 588071009, 588071101, 588071401, 588071573, 588071597, 588079253
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OFFSET
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1,1
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COMMENTS
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This is a companion sequence to A297447. The first two sign-changing zones were discovered by Bays and Hudson back in 1979. We discovered four additional zones starting from a(22794) = 5267226902633. The full sequence with all 6 zones checked up to 5*10^14 contains 664175 terms (see a-file) with a(664175) = 194318969449909 as its last term.
This sequence was checked up to 10^15 and the 7th sign-changing zone starting from a(664176) = 930525161507057 and ending with a(850232)= 932080335660277 was found. - Andrey S. Shchebetov and Sergei D. Shchebetov, Jul 28 2018
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LINKS
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M. Rubinstein, P. Sarnak, Chebyshev’s bias, Experimental Mathematics, Volume 3, Issue 3, 1994, Pages 173-197.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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