id:A130229 - OEIS Search Results

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Primes p == 5 (mod 8) such that the Diophantine equation x^2 - p*y^2 = -4 has no solution in odd integers x, y.

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37, 101, 197, 269, 349, 373, 389, 557, 677, 701, 709, 757, 829, 877, 997, 1213, 1301, 1613, 1861, 1901, 1949, 1973, 2069, 2221, 2269, 2341, 2357, 2621, 2797, 2837, 2917, 3109, 3181, 3301, 3413, 3709, 3797, 3821, 3853, 3877, 4013, 4021, 4093 (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. A130230.` `Sequence in context: A108160 A044224 A044605 this_sequence A142941 A105019 A090496` `Adjacent sequences: A130226 A130227 A130228 this_sequence A130230 A130231 A130232`
	KEYWORD	`nonn`
	AUTHOR	`Warut Roonguthai (warut822(AT)gmail.com), Aug 06 2007`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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