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

Offset: 1

Author

Ed Pegg Jr, Dec 22 2017

Keywords

• nonn

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

Programs

Maple

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

PARI

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

Extensions

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