

A186400


Numbers n such that there are 8 primes between 100*n and 100*n + 99.


1



48, 64, 84, 105, 116, 135, 141, 149, 155, 162, 176, 178, 189, 204, 219, 224, 228, 231, 243, 245, 247, 248, 250, 255, 258, 260, 265, 271, 275, 289, 296, 307, 309, 328, 339, 361, 371, 374, 390, 396, 399, 402, 409, 413, 428, 432
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OFFSET

1,1


COMMENTS

There are 5900602 possible prime patterns for centuries having 8 primes.  Tim Johannes Ohrtmann, Aug 27 2015


LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000


EXAMPLE

48 is in this sequence because there are 8 primes between 4800 and 4899 (4801, 4813, 4817, 4831, 4861, 4871, 4877 and 4889).


PROG

(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
(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


CROSSREFS

Cf. A038822 (number of primes between 100n and 100n + 99), A186311 (first occurrences).
Cf. A181098 (no primes), A186393A186408 (1 to 16 primes), A186509 (17 primes).
Sequence in context: A108098 A114505 A323610 * A205188 A333672 A045072
Adjacent sequences: A186397 A186398 A186399 * A186401 A186402 A186403


KEYWORD

nonn


AUTHOR

Tim Johannes Ohrtmann, Feb 20 2011


STATUS

approved



