A186397 Numbers k such that there are 5 primes between 100*k and 100*k + 99.

188, 273, 377, 403, 438, 506, 598, 605, 732, 758, 790, 800, 866, 885, 916, 936, 972, 981, 1031, 1032, 1060, 1074, 1075, 1086, 1103, 1128, 1136, 1193, 1194, 1204, 1218, 1240, 1248, 1265, 1280, 1287, 1293, 1298, 1390, 1400

Offset

1,1

Comments

There are 225044 possible prime patterns for centuries having 5 primes. - Tim Johannes Ohrtmann, Aug 27 2015

Links

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

Example

188 is in this sequence because there are 5 primes between 18800 and 18899 (18803, 18839, 18859, 18869 and 18899).

Prog

(PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==5, print1(n", "))); \\ Charles R Greathouse IV, Feb 21 2011
(PARI) N=100; s=0; forprime(p=2, 1e6, if(p>N, if(s==5, 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: A044998 A353539 A243077 * A260836 A304279 A099945

Adjacent sequences: A186394 A186395 A186396 * A186398 A186399 A186400

Keyword

nonn

Author

Tim Johannes Ohrtmann, Feb 20 2011

Status

approved