A258275 a(n) = smallest number k > n such that the interval k*100 to k*100+99 has exactly the same prime pattern as the interval n*100 to n*100+99 (or 0 if no such term is known).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4812895043702, 0, 38905562023, 0, 2406071834559, 0, 834998571515, 15367548589719, 274894696197322, 0, 3339850458, 0, 0, 90345210525, 127636130731, 0, 0, 7916673590887, 498009080381, 1128063679395, 616923037, 301998772331

Offset

1,11

Links

Table of n, a(n) for n=1..32.

Example

a(13) = 38905562023 because the primes between 1300 and 1399 are 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381 and 1399 and 38905562023 is the least century>13 that has exactly the same prime pattern: 3890556202301, 3890556202303, 3890556202307, 3890556202319, 3890556202321, 3890556202327, 3890556202361, 3890556202367, 3890556202373, 3890556202381, 3890556202399.

Crossrefs

Cf. A164987, A190639, A219996.

Sequence in context: A237361 A216909 A173710 * A324206 A204349 A351171

Adjacent sequences: A258272 A258273 A258274 * A258276 A258277 A258278

Keyword

nonn,hard

Author

Tim Johannes Ohrtmann, Jun 25 2015

Status

approved