A193855 - OEIS

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A193855

Primes p such that tau(p) is congruent to 1 (mod p), where tau is the Ramanujan tau function.

11, 23, 691 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`M. J. Hopkins wrote "It is not known whether or not tau(p) == 1 mod p holds for infinitely many primes". For more information about this open problem see the Sloane comment in A000594.`
	REFERENCES	`M. J. Hopkins, Algebraic topology and modular forms, Proc. Internat. Congress Math., Beijing 2002, Vol. I, pp. 291-317.` `M. J. Hopkins, Algebraic topology and modular forms, ICM 2002, Vol. I, pp. 283-309.` `B. Mazur and A. Wiles, On p-adic analytic families of Galois representations, Compositio Mathematica, tome 59, n. 2 (1986), p. 231-264`
	LINKS	`Table of n, a(n) for n=1..3.` `M. J. Hopkins, Algebraic topology and modular forms, Arxiv:math/0212397v1` `B. Mazur and A. Wiles, On p-adic analytic families of Galois representations`
	CROSSREFS	`Cf. A000594.` `Sequence in context: A153318 A005485 A041240 * A045498 A159511 A156959` `Adjacent sequences: A193852 A193853 A193854 * A193856 A193857 A193858`
	KEYWORD	`nonn,bref,hard,more`
	AUTHOR	`Omar E. Pol, Aug 14 2011`
	STATUS	`approved`

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Last modified May 18 12:20 EDT 2013. Contains 225419 sequences.