

A296915


Primes that are not squares mod 163.


1



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

Table of n, a(n) for n=1..59.
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: A211654 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 CROSSREFERENCES)


STATUS

approved



