id:A130230 - OEIS Search Results

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Primes p == 5 (mod 8) such that the Diophantine equation x^2 - p*y^2 = -4 has a solution in odd integers x, y.

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5, 13, 29, 53, 61, 109, 149, 157, 173, 181, 229, 277, 293, 317, 397, 421, 461, 509, 541, 613, 653, 661, 733, 773, 797, 821, 853, 941, 1013, 1021, 1061, 1069, 1093, 1109, 1117, 1181, 1229, 1237, 1277, 1373, 1381, 1429, 1453, 1493, 1549, 1597 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`For the Diophantine equation x^2 - p*y^2 = -4 to have a solution in odd integers x, y we must have p == 5 (mod 8)` `Calculated using Dario Alpern's quadratic Diophantine solver at http://www.alpertron.com.ar/QUAD.HTM` `Suggested by a discussion on the Number Theory Mailing List, circa Aug 01 2007.`
	CROSSREFS	`Cf. A130229.` `Sequence in context: A000328 A100438 A129371 this_sequence A106931 A078370 A005473` `Adjacent sequences: A130227 A130228 A130229 this_sequence A130231 A130232 A130233`
	KEYWORD	`nonn`
	AUTHOR	`Warut Roonguthai (warut822(AT)gmail.com), Aug 06 2007`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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