A375765 Square array read by antidiagonals in ascending order T(n,k), n > 1 and k > 0, representing the least prime p that starts a run of exactly k consecutive primes, all having the same sum of digits in base n > 1, or -1 if no such number exists.
2, 2, 3, 2, 11, 7, 2, 23, 7, 167, 2, 7, 151, 5, 941, 2, 139, 479, 1901, 1019, 6299, 2, 23, 8543, 467, 12823, 1013, 6287, 2, 293, 151, 123239, 463, 102811, 4391, 150287, 2, 89, 23929, 251, 2350349, 15667, 369991, 8849, 866087, 2, 523, 1823, 370247, 1747, 24370007
Offset: 2
Examples
T(2,3) = 7, because the 3 consecutive primes 7 = 111_2, 11 = 1011 and 13 = 1101_2 have all the same sum of digits in base 2, and no lesser number has this property. The upper left square of the table begins at T(2,1): 2 3 7 167 941 6299 ... 2 11 7 5 1019 1013 ... 2 23 151 1901 12823 102811 ... 2 7 479 467 463 15667 ... 2 139 8543 123239 2350349 24370007 ... 2 23 151 251 1747 1741 ... ... ... ... ... ... ... ...
Crossrefs
Cf. A071613.