A092681 Least number 2k such that p^2 divides the numerator of the Bernoulli number B(2k), where p is the n-th irregular prime, A000928(n).

284, 914, 3292, 5768, 228, 12112, 11082, 6302, 11498, 40220, 34724, 51976, 1434, 74750, 67316, 21508, 63532, 39378, 67066, 64012, 91576, 137766, 137552, 105582, 158838, 147660, 175758, 194776, 173842, 102148, 132072, 107112, 127736, 29248

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 second-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, A092682.