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A186403 Numbers n such that there are 11 primes between 100*n and 100*n + 99. 1
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 (list; graph; refs; listen; history; text; internal format)
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).

Sequence in context: A256475 A335374 A335466 * A032478 A280925 A161603

Adjacent sequences:  A186400 A186401 A186402 * A186404 A186405 A186406

KEYWORD

nonn

AUTHOR

Tim Johannes Ohrtmann, Feb 20 2011

STATUS

approved

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Last modified August 13 22:57 EDT 2020. Contains 336473 sequences. (Running on oeis4.)