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 A295356 #26 May 27 2025 10:08:46 %S A295356 978412359121,978412359637,978412360813,978412360957,978412361293, %T A295356 978412361713,978412374613,978412374673,978412374817,978412375441, %U A295356 978412375597,978412376197,978412466749,978412469581,978412470193,978412470241,978412470877,978412471081,978412471357,978412471789 %N A295356 Primes p for which pi_{24,13}(p) - pi_{24,1}(p) = -1, where pi_{m,a}(x) is the number of primes <= x which are congruent to a (mod m). %C A295356 This is a companion sequence to A295355. The sequence (without exact 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) = 699914738212849 as the last one. %C A295356 We found the 7th sign-changing zone between 10^15 and 10^16. It starts with A(2381905) = 8744052767229817, ends with A(2792591) = 8772206355445549 and contains 410687 terms. - Andrey S. Shchebetov and _Sergei D. Shchebetov_, Apr 26 2019 %H A295356 Sergei D. Shchebetov, <a href="/A295356/b295356.txt">Table of n, a(n) for n = 1..100000</a> %H A295356 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 A295356 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 A295356 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 A295356 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeQuadraticEffect.html">Prime Quadratic Effect.</a> %K A295356 nonn %O A295356 1,1 %A A295356 Andrey S. Shchebetov and _Sergei D. Shchebetov_, Dec 22 2017