This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A295355 #27 May 27 2025 10:08:26
%S A295355 36826322708,36826322724,36826322769,36826322776,36826322790,
%T A295355 36826322804,36826323283,36826323287,36826323293,36826323310,
%U A295355 36826323320,36826323340,36826326663,36826326763,36826326784,36826326786,36826326812,36826326824,36826326834,36826326849
%N A295355 Values of n for which pi_{24,13}(p_n) - pi_{24,1}(p_n) = -1, where p_n is the n-th prime and pi_{m,a}(x) is the number of primes <= x which are congruent to a (mod m).
%C A295355 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 sign-changing zones with 2381904 terms in total with A(2381904) = 21113714560133 as the last one.
%C A295355 We found the 7th sign-changing 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
%H A295355 Sergei D. Shchebetov, <a href="/A295355/b295355.txt">Table of n, a(n) for n = 1..100000</a>
%H A295355 A. Granville and G. Martin, <a href="https://web.archive.org/web/20240529054811/https://maa.org/sites/default/files/pdf/upload_library/22/Ford/granville1.pdf">Prime Number Races</a>, Amer. Math. Monthly 113 (2006), no. 1, 1-33.
%H A295355 Richard H. Hudson and Carter Bays, <a href="http://gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002194864">The appearance of tens of billion of integers x with pi_{24, 13}(x) < pi_{24, 1}(x) in the vicinity of 10^12</a>, Journal für die reine und angewandte Mathematik, 299/300 (1978), 234-237. MR 57 #12418.
%H A295355 M. Rubinstein and P. Sarnak, <a href="https://projecteuclid.org/euclid.em/1048515870">Chebyshev’s bias</a>, Experimental Mathematics, Volume 3, Issue 3, 1994, Pages 173-197.
%H A295355 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeQuadraticEffect.html">Prime Quadratic Effect.</a>
%K A295355 nonn
%O A295355 1,1
%A A295355 Andrey S. Shchebetov and _Sergei D. Shchebetov_, Dec 22 2017