A061576 - OEIS

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A061576

Smallest prime of irregularity index n.

2, 3, 37, 157, 491, 12613, 78233, 527377, 3238481 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`-1,1`
	COMMENTS	`By convention 2 has irregularity index -1; regular primes (the first is 3, see A007703) have index 0; an irregular prime of index n >= 1 is an irregular prime p (see A000928) such that p divides exactly n Bernoulli numbers B_{2i} with 2i < p-1.`
	REFERENCES	`J. Buhler, R. Crandall, R. Ernvall and T. Metsankyla, Irregular primes and cyclotomic invariants to four million. Math. Comp. 61 (1993), no. 203, 151-153.` `J. Buhler, R. Crandall, R. Ernvall, T. Metsankyla and M. A. Shokrollahi, Irregular Primes and Cyclotomic Invariants to 12 Million, J. Symbolic Computation 31, 2001, 89-96.` `P. Ribenboim, The New Book of Prime Number Records, Springer-Verlag, NY, 1995, page 326.`
	LINKS	`Table of n, a(n) for n=-1..7.` `Math. Pages, On the Density of Some Exceptional Primes` `Eric Weisstein's World of Mathematics, Irregular Prime.` `Bernoulli numbers, irregularity index of primes`
	CROSSREFS	`Cf. A007703, A000928.` `Sequence in context: A062459 A118370 A189027 * A221055 A144466 A119448` `Adjacent sequences: A061573 A061574 A061575 * A061577 A061578 A061579`
	KEYWORD	`nonn,nice,hard,more`
	AUTHOR	`William G. McCallum (wmc(AT)math.arizona.edu) and Robert G. Wilson v, May 20 2001`
	STATUS	`approved`

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Last modified May 21 16:16 EDT 2013. Contains 225504 sequences.