A186403 Numbers k such that there are 11 primes between 100*k and 100*k + 99.

13, 25, 29, 32, 34, 38, 39, 44, 51, 61, 65, 72, 74, 80, 87, 90, 92, 93, 97, 100, 107, 111, 114, 121, 130, 134, 139, 154, 170, 181, 182, 183, 184, 187, 190, 192, 195, 210, 213, 217, 218, 227, 249, 251, 261, 262, 267, 279, 280

Offset: 1

Author

Tim Johannes Ohrtmann, Feb 20 2011

Keywords

• nonn

Comments

There are 24942742 possible prime patterns for centuries having 11 primes. - Tim Johannes Ohrtmann, Aug 27 2015

Examples

			13 is in this sequence because there are 11 primes between 1300 and 1399 (1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381 and 1399).
		

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

Mathematica

Select[Range[300],PrimePi[100#+99]-PrimePi[100#]==11&] (* Harvey P. Dale, Jul 26 2011 *)

PARI

for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==11, print1(n", "))); \\ Charles R Greathouse IV, Feb 21 2011

PARI

N=100; s=0; forprime(p=2, 4e9, if(p>N, if(s==11, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ Charles R Greathouse IV, Feb 21 2011