A296915 - OEIS

A296915

Primes that are not squares mod 163.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 59, 67, 73, 79, 89, 101, 103, 107, 109, 127, 137, 139, 149, 157, 181, 191, 193, 211, 229, 233, 239, 241, 257, 269, 271, 277, 283, 293, 311, 317, 331, 337, 349, 353, 389, 401, 431, 433, 443, 449, 463, 467, 479, 491, 509, 521, 541

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OFFSET

1,1

COMMENTS

Inert rational primes in Q(sqrt -163). (Note that 41 is not inert in this field, it decomposes - see A296921.)

REFERENCES

Helmut Hasse, Number Theory, Grundlehren 229, Springer, 1980, page 498.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

Index to sequences related to decomposition of primes in quadratic fields

MAPLE

Load the Maple program HH given in A296920. Then run HH(-163, 200); - N. J. A. Sloane, Dec 26 2017

PROG

(PARI) lista(nn) = forprime(p=2, nn, if (!issquare(Mod(p, 163)), print1(p, ", ")); ); \\ Michel Marcus, Dec 24 2017

CROSSREFS

Sequence in context: A363998 A038612 A012883 * A171032 A171045 A222566

Adjacent sequences: A296912 A296913 A296914 * A296916 A296917 A296918

KEYWORD

nonn

AUTHOR

Ed Pegg Jr, Dec 22 2017

EXTENSIONS

Corrected by N. J. A. Sloane, Dec 25 2017 (including deletion of incorrect comments in CROSS-REFERENCES)

STATUS

approved