Number Theory > Prime Numbers > Miscellaneous Primes v

Irregular Pair

If p divides the numerator of the Bernoulli number for , then is called an irregular pair. For p < 30000, the irregular pairs of various forms are p = 16843 for , p = 37 for , none for , and for .

Bernoulli Number, Irregular Prime




References

Johnson, W. "Irregular Primes and Cyclotomic Invariants." Math. Comput. 29, 113-120, 1975.