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 A186397 #30 Mar 22 2024 03:45:55 %S A186397 188,273,377,403,438,506,598,605,732,758,790,800,866,885,916,936,972, %T A186397 981,1031,1032,1060,1074,1075,1086,1103,1128,1136,1193,1194,1204,1218, %U A186397 1240,1248,1265,1280,1287,1293,1298,1390,1400 %N A186397 Numbers k such that there are 5 primes between 100*k and 100*k + 99. %C A186397 There are 225044 possible prime patterns for centuries having 5 primes. - _Tim Johannes Ohrtmann_, Aug 27 2015 %H A186397 T. D. Noe, <a href="/A186397/b186397.txt">Table of n, a(n) for n = 1..1000</a> %e A186397 188 is in this sequence because there are 5 primes between 18800 and 18899 (18803, 18839, 18859, 18869 and 18899). %o A186397 (PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==5, print1(n", "))); \\ _Charles R Greathouse IV_, Feb 21 2011 %o A186397 (PARI) N=100; s=0; forprime(p=2, 1e6, if(p>N, if(s==5, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ _Charles R Greathouse IV_, Feb 21 2011 %Y A186397 Cf. A038822 (number of primes between 100n and 100n+99), A186311 (first occurrences). %Y A186397 Cf. A181098 (no primes), A186393-A186408 (1 to 16 primes), A186509 (17 primes), A361723 (18 primes). %K A186397 nonn %O A186397 1,1 %A A186397 _Tim Johannes Ohrtmann_, Feb 20 2011