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 A186400 #32 Mar 22 2024 03:48:23 %S A186400 48,64,84,105,116,135,141,149,155,162,176,178,189,204,219,224,228,231, %T A186400 243,245,247,248,250,255,258,260,265,271,275,289,296,307,309,328,339, %U A186400 361,371,374,390,396,399,402,409,413,428,432 %N A186400 Numbers k such that there are 8 primes between 100*k and 100*k + 99. %C A186400 There are 5900602 possible prime patterns for centuries having 8 primes. - _Tim Johannes Ohrtmann_, Aug 27 2015 %H A186400 T. D. Noe, <a href="/A186400/b186400.txt">Table of n, a(n) for n = 1..1000</a> %e A186400 48 is in this sequence because there are 8 primes between 4800 and 4899 (4801, 4813, 4817, 4831, 4861, 4871, 4877 and 4889). %o A186400 (PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==8, print1(n", "))); \\ _Charles R Greathouse IV_, Feb 21 2011 %o A186400 (PARI) N=100; s=0; forprime(p=2, 1e6, if(p>N, if(s==8, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ _Charles R Greathouse IV_, Feb 21 2011 %Y A186400 Cf. A038822 (number of primes between 100n and 100n+99), A186311 (first occurrences). %Y A186400 Cf. A181098 (no primes), A186393-A186408 (1 to 16 primes), A186509 (17 primes), A361723 (18 primes). %K A186400 nonn %O A186400 1,1 %A A186400 _Tim Johannes Ohrtmann_, Feb 20 2011