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A003632 Inert rational primes in Q(sqrt 7), or, 7 is not a square mod p.
(Formerly M3806)
3
5, 11, 13, 17, 23, 41, 43, 61, 67, 71, 73, 79, 89, 97, 101, 107, 127, 151, 157, 163, 173, 179, 181, 191, 211, 229, 239, 241, 257, 263, 269, 293, 313, 331, 347, 349, 353, 359, 379, 397, 409, 431, 433, 443, 461, 463, 487, 491, 499, 509, 521, 547, 571, 577, 593, 599 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes congruent to 5, 11, 13, 15, 17, 23 (modulo 28). - 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

Index to sequences related to decomposition of primes in quadratic fields

MATHEMATICA

Select[Prime[Range[1000]], MemberQ[{5, 11, 13, 15, 17, 23}, Mod[#, 28]]&] (* Vincenzo Librandi, Aug 20 2012 *)

PROG

(PARI)  {a(n) = local( cnt, m ); if( n<1, return( 0 )); while( cnt < n, if( isprime( m++) && kronecker( 7, m )== -1, cnt++ )); m} /* Michael Somos, Aug 14 2012 */

CROSSREFS

Sequence in context: A106091 A246374 A040113 * A019354 A230288 A124662

Adjacent sequences:  A003629 A003630 A003631 * A003633 A003634 A003635

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mira Bernstein

STATUS

approved

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Last modified August 10 19:52 EDT 2020. Contains 336381 sequences. (Running on oeis4.)