cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A375765 #12 Sep 03 2024 01:36:44
%S A375765 2,2,3,2,11,7,2,23,7,167,2,7,151,5,941,2,139,479,1901,1019,6299,2,23,
%T A375765 8543,467,12823,1013,6287,2,293,151,123239,463,102811,4391,150287,2,
%U A375765 89,23929,251,2350349,15667,369991,8849,866087,2,523,1823,370247,1747,24370007
%N 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.
%e A375765 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.
%e A375765 The upper left square of the table begins at T(2,1):
%e A375765   2   3    7    167     941     6299 ...
%e A375765   2  11    7      5    1019     1013 ...
%e A375765   2  23  151   1901   12823   102811 ...
%e A375765   2   7  479    467     463    15667 ...
%e A375765   2 139 8543 123239 2350349 24370007 ...
%e A375765   2  23  151    251    1747     1741 ...
%e A375765 ... ...  ...    ...     ...      ... ...
%Y A375765 Cf. A071613.
%K A375765 nonn,base,tabl
%O A375765 2,1
%A A375765 _Jean-Marc Rebert_, Aug 27 2024