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

1,1

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

Table of n, a(n) for n=1..26.

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

Crossrefs

Cf. A000928, A035112, A091887, A092681.

Sequence in context: A235298 A233662 A284080 * A236122 A320208 A320217

Adjacent sequences: A092679 A092680 A092681 * A092683 A092684 A092685

Keyword

nonn

Author

T. D. Noe, Mar 03 2004

Status

approved