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A003626 Inert rational primes in Q(sqrt(-5)).
(Formerly M4769)
3
11, 13, 17, 19, 31, 37, 53, 59, 71, 73, 79, 97, 113, 131, 137, 139, 151, 157, 173, 179, 191, 193, 197, 199, 211, 233, 239, 251, 257, 271, 277, 293, 311, 313, 317, 331, 337, 353, 359, 373, 379, 397, 419, 431, 433, 439, 457, 479, 491, 499, 557, 571, 577, 593, 599 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes congruent to 11, 13, 17, 19 (mod 20). - Michael Somos, Aug 14 2012

REFERENCES

H. Hasse, Number Theory, Springer-Verlag, NY, 1980, p. 498.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

R. G. Wilson, V, Letter to N. J. A. Sloane, Oct. 1993

Index to sequences related to decomposition of primes in quadratic fields

MATHEMATICA

Select[Prime[Range[1000]], MemberQ[{11, 13, 17, 19}, Mod[#, 20]]&] (* Vincenzo Librandi, Aug 20 2012 *)

PROG

(PARI) {a(n) = local( cnt, m ); if( n<1, return( 0 )); while( cnt < n, if( isprime( m++) && kronecker( -20, m )==-1, cnt++ )); m} /* Michael Somos, Aug 14 2012 */

CROSSREFS

Sequence in context: A045798 A267277 A155071 * A154981 A092912 A092911

Adjacent sequences:  A003623 A003624 A003625 * A003627 A003628 A003629

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane, Mira Bernstein

STATUS

approved

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Last modified May 22 07:19 EDT 2019. Contains 323478 sequences. (Running on oeis4.)