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.
%I A210629 #10 Feb 23 2024 13:26:05
%S A210629 1442173,2288509,2660183,2805773,3830891,4137473,4951073,5216137,
%T A210629 5517173,5521819,5521891,5914591,6474119,6518173,7118519,7570273,
%U A210629 8508473,8584273,8689573,8912591,9383053,9958519,10116373,10204391,11418193,11878873,11890873,12948773,13738163,13873073,14377157,14436391,14677573,14732191
%N A210629 Each entry is the first of four consecutive primes with equal digital sum.
%C A210629 The differences between each of the 4-consecutive primes are multiples of 18. - _Harvey P. Dale_, Jul 22 2016
%e A210629 2288509 is in the sequence because 2288509, 2288527, 2288563, and 2288581 are consecutive primes and the sum of the digits of each = 34
%t A210629 Transpose[Select[Partition[Prime[Range[1000000]],4,1],Total[ IntegerDigits[#[[1]]]]==Total[IntegerDigits[#[[2]]]] == Total[ IntegerDigits[#[[3]]]]==Total[IntegerDigits[#[[4]]]]&]][[1]]
%t A210629 Transpose[Select[Partition[Prime[Range[10^6]],4,1], Differences[ Total/@ (IntegerDigits/@#)]=={0,0,0}&]][[1]] (* _Harvey P. Dale_, Jul 22 2016 *)
%Y A210629 Cf. A066540, A209663, A209396.
%K A210629 nonn,base
%O A210629 1,1
%A A210629 _Harvey P. Dale_, Mar 25 2012