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 A186396 #31 Mar 22 2024 03:47:14 %S A186396 314,356,524,662,831,881,1037,1101,1124,1307,1370,1433,1623,1713,1733, %T A186396 1755,1801,1808,1831,1880,1956,2031,2150,2178,2202,2222,2231,2330, %U A186396 2374,2502,2503,2532,2545,2611,2618,2656,2659,2665 %N A186396 Numbers k such that there are 4 primes between 100*k and 100*k + 99. %C A186396 There are 47878 possible prime patterns for centuries having 4 primes. - _Tim Johannes Ohrtmann_, Aug 27 2015 %H A186396 T. D. Noe, <a href="/A186396/b186396.txt">Table of n, a(n) for n = 1..1000</a> %e A186396 314 is in this sequence because there are 4 primes between 31400 and 31499 (31469, 31477, 31481 and 31489). %o A186396 (PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==4, print1(n", "))); \\ _Charles R Greathouse IV_, Feb 21 2011 %o A186396 (PARI) N=100; s=0; forprime(p=2, 1e6, if(p>N, if(s==4, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ _Charles R Greathouse IV_, Feb 21 2011 %Y A186396 Cf. A038822 (number of primes between 100n and 100n+99), A186311 (first occurrences). %Y A186396 Cf. A181098 (no primes), A186393-A186408 (1 to 16 primes), A186509 (17 primes), A361723 (18 primes). %K A186396 nonn %O A186396 1,1 %A A186396 _Tim Johannes Ohrtmann_, Feb 20 2011