A186395 Numbers k such that there are 3 primes between 100*k and 100*k + 99.

588, 695, 797, 1430, 1621, 1751, 1809, 1869, 1904, 1913, 2042, 2067, 2123, 2127, 2322, 2471, 2505, 2562, 2734, 2833, 2862, 2874, 2935, 3023, 3077, 3134, 3371, 3380, 3552, 3611, 3679, 3703, 3707, 3725, 3878, 4046, 4167, 4215

Offset

1,1

Comments

There are 7528 possible prime patterns for centuries having 3 primes. - Tim Johannes Ohrtmann, Aug 27 2015

Links

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

Example

588 is in this sequence because there are 3 primes between 58800 and 58899 (58831, 58889 and 58897).

Prog

(PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==3, print1(n", "))); \\ Charles R Greathouse IV, Feb 21 2011
(PARI) N=100; s=0; forprime(p=2, 1e6, if(p>N, if(s==3, 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: A064209 A113509 A252387 * A230716 A211852 A178973

Adjacent sequences: A186392 A186393 A186394 * A186396 A186397 A186398

Keyword

nonn

Author

Tim Johannes Ohrtmann, Feb 20 2011

Status

approved