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A191030 Primes that are quadratic residues mod 41. 3
2, 5, 23, 31, 37, 43, 59, 61, 73, 83, 103, 107, 113, 127, 131, 139, 163, 173, 197, 223, 241, 251, 269, 271, 277, 283, 307, 337, 349, 353, 359, 367, 373, 379, 389, 401, 409, 419, 431, 433, 443, 449, 461, 467, 487, 491, 523, 541, 569, 599, 607, 613, 617, 619 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The only difference between A191030 and A038919 is the term A038919(6) = 41. - Zak Seidov, May 24 2013
Due to quadratic reciprocity, p is a square (mod 41) iff 41 is a square (mod p). The notion "quadratic residue" excludes here equality / zero, so 41 is not in this sequence but in A038919, because 41 = 41^2 (mod 41). - M. F. Hasler, Jan 17 2016
LINKS
MATHEMATICA
Select[Prime[Range[200]], JacobiSymbol[#, 41]==1&]
PROG
(Magma) [p: p in PrimesUpTo(619) | JacobiSymbol(p, 41) eq 1]; // Vincenzo Librandi, Sep 10 2012
CROSSREFS
Cf. A038919. - Zak Seidov, May 24 2013
Sequence in context: A180535 A038919 A141181 * A233074 A100031 A293213
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 24 2011
EXTENSIONS
Definition adjusted by M. F. Hasler, Jan 19 2016
STATUS
approved

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Last modified June 23 18:37 EDT 2024. Contains 373653 sequences. (Running on oeis4.)