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A186406 Numbers n such that there are 14 primes between 100*n and 100*n + 99. 1
5, 7, 9, 20, 27, 35, 82, 147, 179, 277, 286, 514, 556, 694, 709, 796, 810, 1158, 1363, 1416, 2033, 2173, 2232, 2297, 2660, 3054, 3274, 4508, 4996, 6635, 8194, 8237, 11047, 11467, 12303, 16166, 19543, 19882, 19936 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are 20053913 possible prime patterns for centuries having 14 primes. - Tim Johannes Ohrtmann, Aug 27 2015

LINKS

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

EXAMPLE

5 is in this sequence because there are 14 primes between 500 and 599 (503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593 and 599).

PROG

(PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==14, print1(n", "))); \\ Charles R Greathouse IV, Feb 21 2011

(PARI) N=100; s=0; forprime(p=2, 4e9, if(p>N, if(s==14, 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: A162848 A259359 A024571 * A068332 A276734 A268410

Adjacent sequences:  A186403 A186404 A186405 * A186407 A186408 A186409

KEYWORD

nonn

AUTHOR

Tim Johannes Ohrtmann, Feb 20 2011

EXTENSIONS

a(30)-a(39) from Charles R Greathouse IV, Feb 21 2011

STATUS

approved

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Last modified November 14 13:04 EST 2018. Contains 317185 sequences. (Running on oeis4.)