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Numbers k such that numerator of Bernoulli(2*k) is divisible by 67, the third irregular prime.
10

%I #12 Mar 29 2021 08:02:19

%S 29,62,67,95,128,134,161,194,201,227,260,268,293,326,335,359,392,402,

%T 425,458,469,491,524,536,557,590,603,623,656,670,689,722,737,755,788,

%U 804,821,854,871,887,920,938,953,986,1005,1019,1052,1072,1085,1118,1139

%N Numbers k such that numerator of Bernoulli(2*k) is divisible by 67, the third irregular prime.

%C n is a member iff either 2n == 58 (mod 66) or n = 67k. - _T. D. Noe_, Mar 22 2004

%H Amiram Eldar, <a href="/A092222/b092222.txt">Table of n, a(n) for n = 1..5700</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BernoulliNumber.html">Bernoulli Number</a>.

%t Select[ Range[ 1150], Mod[ Numerator[ BernoulliB[2# ]], 67] == 0 &]

%Y Cf. A000928, A091216, A092221, A092223, A092224, A092225, A092226, A092227, A092228, A092229.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Feb 25 2004