id:A038873 - OEIS Search Results

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Primes p such that 2 is a square mod p; or, primes congruent to {1, 2, 7} mod 8.

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13

2, 7, 17, 23, 31, 41, 47, 71, 73, 79, 89, 97, 103, 113, 127, 137, 151, 167, 191, 193, 199, 223, 233, 239, 241, 257, 263, 271, 281, 311, 313, 337, 353, 359, 367, 383, 401, 409, 431, 433, 439, 449, 457, 463, 479, 487, 503, 521, 569, 577, 593, 599, 601, 607, 617 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Primes p such that x^2 = 2 has a solution mod p.` `Is this the same sequence as A141131?` `Contribution from Tito Piezas III (tpiezas(AT)gmail.com), Dec 28 2008: (Start)` `The prime values of the form x^2+2xy-y^2 coincide with this sequence.` `Likewise with A141131, these are also primes of the form u^2-2v^2. (End)` `(End)`
	LINKS	`Index entries for related sequences` `K. S. Brown, Pythagorean graphs`
	PROGRAM	`(MAGMA) [ p: p in PrimesUpTo(617) \| IsSquare(R!2) where R:=ResidueClassRing(p) ]; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 02 2008]`
	CROSSREFS	`Agrees with A001132 except for initial term.` `Sequence in context: A101568 A074884 A105911 this_sequence A141131 A049594 A049590` `Adjacent sequences: A038870 A038871 A038872 this_sequence A038874 A038875 A038876`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.

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