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
Examples
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.