id:A165816 - OEIS Search Results

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Prime congruent numbers (A003273) not equal to 5 or 7 (mod 8).

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41, 137, 257, 313, 353, 457, 761, 1201, 1217, 1249, 1321, 2113, 2273, 2777, 2833, 2953, 3001, 3433, 3593, 3761, 3881, 4441, 4481, 4649, 4793, 4889, 5273, 5449, 5569, 5657, 5849, 6073, 6529, 7001, 7321, 7417, 7561, 7793, 8521, 8609, 9049, 9257, 9281 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Heegner proved that every prime p with p = 5 or 7 (mod 8) is a congruent number. See A003628 for those primes. All primes in this sequence equal 1 (mod 8).`
	REFERENCES	`Kurt Heegner, Diophantische Analysis und Modulfunktionen, Math. Zeitschrift 56 (1952), 227-253.`
	LINKS	`T. D. Noe, Primes less than 10^7` `Kent E. Morrison, Congruent Numbers`
	CROSSREFS	`A165815 (prime congruent numbers)` `Sequence in context: A013643 A142333 A028343 this_sequence A142449 A044373 A044754` `Adjacent sequences: A165813 A165814 A165815 this_sequence A165817 A165818 A165819`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Sep 28 2009`

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Last modified November 22 15:28 EST 2009. Contains 167310 sequences.

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