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A045468 Primes congruent to {1, 4} mod 5. +0
25
11, 19, 29, 31, 41, 59, 61, 71, 79, 89, 101, 109, 131, 139, 149, 151, 179, 181, 191, 199, 211, 229, 239, 241, 251, 269, 271, 281, 311, 331, 349, 359, 379, 389, 401, 409, 419, 421, 431, 439, 449, 461, 479, 491 (list; graph; listen)
OFFSET

1,1

COMMENT

These are also primes p that divide Fibonacci(p-1) - Jud McCranie (j.mccranie(AT)comcast.net)

Primes ending in 1 or 9. - Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 27 2003

Also primes p such that p divides 5^(p-1)/2 - 4^(p-1)/2. - Cino Hilliard (hillcino368(AT)gmail.com), Sep 06 2004

Primes p such that the polynomial x^2-x-1 mod p has 2 distinct zeros. - T. D. Noe (noe(AT)sspectra.com), May 02 2005

almost the same as: A038872 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 26 2009]

REFERENCES

Hardy and Wright, An Introduction to the Theory of Numbers, Chap.X, p. 150, Oxford University Press, Fifth edition

FORMULA

A038872 \ {5}. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 18 2008]

MATHEMATICA

lst={}; Do[p=Prime[n]; If[Mod[p, 5]==1||Mod[p, 5]==4, AppendTo[lst, p]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 26 2009]

CROSSREFS

Cf. A064739.

Cf. A038872 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 26 2009]

Sequence in context: A158290 A057538 A123976 this_sequence A053032 A034099 A034109

Adjacent sequences: A045465 A045466 A045467 this_sequence A045469 A045470 A045471

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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