|
| |
|
|
A045468
|
|
Primes congruent to {1, 4} mod 5.
|
|
29
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| These are also primes p that divide Fibonacci(p-1) - Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu)
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]
Appears to be the primes p such that p^6 mod 210 = 1. [From Gary Detlefs, Dec 29 2011]
Primes in A047209, also in A090771. [Reinhard Zumkeller, Jan 07 2012]
|
|
|
REFERENCES
| Hardy and Wright, An Introduction to the Theory of Numbers, Chap.X, p. 150, Oxford University Press, Fifth edition
|
|
|
LINKS
| Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
|
|
|
FORMULA
| A038872 \ {5}. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 18 2008]
|
|
|
MAPLE
| for n from 1 to 500 do if(isprime(n)) and (n^6 mod 210=1) then print(n) fi od. [From Gary Detlefs, Dec 29 2011]
|
|
|
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]
|
|
|
PROG
| (PARI) list(lim)=select(n->n%5==1||n%5==4, primes(primepi(lim))) \\ Charles R Greathouse IV, Jul 25 2011
(Haskell)
a045468 n = a045468_list !! (n-1)
a045468_list = [x | x <- a047209_list, a010051 x == 1]
-- Reinhard Zumkeller, Jan 07 2012
|
|
|
CROSSREFS
| Cf. A064739.
Cf. A038872 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 26 2009]
Cf. A010051.
Sequence in context: A158290 A057538 A123976 * A196095 A053032 A034099
Adjacent sequences: A045465 A045466 A045467 * A045469 A045470 A045471
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
