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 A186404 Numbers n such that there are 12 primes between 100*n and 100*n + 99. 1
 11, 15, 17, 18, 28, 30, 37, 45, 46, 47, 50, 56, 60, 67, 68, 76, 85, 91, 98, 101, 103, 106, 118, 122, 125, 126, 129, 131, 136, 137, 144, 145, 148, 151, 152, 153, 157, 160, 164, 169, 173, 199, 203, 207, 221, 226, 235, 236, 241 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are 27836859 possible prime patterns for centuries having 12 primes. - Tim Johannes Ohrtmann, Aug 27 2015 LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 EXAMPLE 11 is in this sequence because there are 12 primes between 1100 and 1199 (1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187 and 1193). MATHEMATICA Select[Range[250], PrimePi[100#+99]-PrimePi[100#]==12&] (* Harvey P. Dale, Sep 20 2011 *) PROG (PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==12, print1(n", "))); \\ Charles R Greathouse IV, Feb 21 2011 (PARI) N=100; s=0; forprime(p=2, 4e9, if(p>N, if(s==12, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ Charles R Greathouse IV, Feb 21 2011 CROSSREFS Cf. A038822 (number of primes between 100n and 100n + 99), A186311 (first occurrences). Cf. A181098 (no primes), A186393-A186408 (1 to 16 primes), A186509 (17 primes). Sequence in context: A174952 A209898 A139065 * A111322 A069822 A116999 Adjacent sequences:  A186401 A186402 A186403 * A186405 A186406 A186407 KEYWORD nonn AUTHOR Tim Johannes Ohrtmann, Feb 20 2011 STATUS approved

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Last modified September 18 04:44 EDT 2020. Contains 337165 sequences. (Running on oeis4.)