A186400 Numbers k such that there are 8 primes between 100*k and 100*k + 99.

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

Offset: 1

Author

Tim Johannes Ohrtmann, Feb 20 2011

Keywords

• nonn

Comments

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

Examples

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

Links

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

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), A361723 (18 primes).

Programs

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