A038898 - OEIS

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A038898

Primes p such that 23 is not a square mod p.

3, 5, 17, 31, 37, 47, 53, 59, 61, 71, 89, 97, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 179, 181, 211, 223, 229, 239, 241, 271, 281, 293, 307, 311, 313, 331, 337, 347, 373, 389, 401, 421, 433, 439 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Inert rational primes in the field Q(sqrt(23)). - N. J. A. Sloane, Dec 26 2017` `Also, only entries p == 1 (mod 4) of the sequence are not squares mod 23 (from the quadratic reciprocity law). - Lekraj Beedassy, Jul 21 2004`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 1..1000` `Index to sequences related to decomposition of primes in quadratic fields`
	MATHEMATICA	`Select[Prime@Range[120], JacobiSymbol[23, #] == -1 &] (* Vincenzo Librandi, Sep 08 2012 *)`
	CROSSREFS	`Sequence in context: A174913 A079496 A230639 * A333353 A297175 A089133` `Adjacent sequences: A038895 A038896 A038897 * A038899 A038900 A038901`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane`
	EXTENSIONS	`Offset changed from 0 to 1 by Vincenzo Librandi, Sep 08 2012`
	STATUS	`approved`

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Last modified August 29 17:19 EDT 2024. Contains 375518 sequences. (Running on oeis4.)