%I #12 Apr 14 2022 09:50:43
%S 5521819,33014273,36183593,39874273,47143739,82934191,83640653,
%T 86225437,89121073,99551093,104663773,108616619,109514719,117611519,
%U 131616409,142348637,151942291,168056137,168066791,172096037,196415237,197604227,203519819,204983507
%N Smallest sets of 5 consecutive primes with equal digital sum. The initial prime is listed.
%H Shyam Sunder Gupta, <a href="/A227931/b227931.txt">Table of n, a(n) for n = 1..445</a>
%e 5521819 is in the sequence because 5521819, 5521891, 5521927, 5521963 and 5521981 are consecutive primes and the sum of the digits of each = 31.
%t a = {}; m = 1; s = 1; Do[If[(y = Apply[Plus, IntegerDigits[x = Prime[n]]]) == s , m = m + 1; If[m == 6, AppendTo[a, Prime[n - 5]]], m = 1]; s = y, {n, 2, 100000000}];a
%t Select[Partition[Prime[Range[11340000]],5,1],Length[Union[Total/@(IntegerDigits/@ #)]] == 1&][[All,1]] (* _Harvey P. Dale_, Apr 14 2022 *)
%Y Cf. A066540, A209396, A210629, A071613.
%K nonn,base
%O 1,1
%A _Shyam Sunder Gupta_, Oct 06 2013