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

1,1

Comments

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

Links

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

Example

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).

Mathematica

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

Prog

(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

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).

Sequence in context: A375296 A375295 A335466 * A032478 A280925 A161603

Adjacent sequences: A186400 A186401 A186402 * A186404 A186405 A186406

Keyword

nonn

Author

Tim Johannes Ohrtmann, Feb 20 2011

Status

approved