A092682 Least number 2k such that p^3 divides the numerator of the Bernoulli number B(2k), where p is the n-th irregular prime, A000928(n).

37580, 86464, 153640, 581468, 914250, 454892, 1510618, 3557642, 84974, 8905404, 11482532, 9629910, 1025814, 9252440, 6484016, 22003936, 17706562, 30054878, 18332698, 37340812, 39775150, 31082358, 5118308, 20315982, 57395934, 25079280

Offset: 1

Author

T. D. Noe, Mar 03 2004

Keywords

• nonn

Comments

The ordered-pair (p(n),a(n)), where p(n) is the n-th irregular prime, is called a third-order irregular pair. Some irregular primes, such as 157, have more than one pair. See A091887 for a count of the pairs for each irregular prime.

Links

• Bernd Kellner, On irregular pairs of higher order (in German)

Crossrefs

Cf. A000928, A035112, A091887, A092681.