id:A079796 - OEIS Search Results

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Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.

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7, 29, 83, 181, 197, 337, 601, 631, 1303, 1847, 2029, 3023, 3109, 3359, 4591, 4649, 4831, 6397, 6791, 7489, 7559, 7573, 7951, 8609, 8933, 9857, 10151, 10457, 10501, 10709, 11467, 11633, 12011, 12377, 12641, 12739, 13469, 14197, 14449, 14519 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Also called nonomatic primes. There is probably an infinity of them. There seems to be no prime number with a similar property using 5 or a larger factor in the polynomials.`
	EXAMPLE	`a(2) = 29 since (329)^2 + 29^2 + 3^2 = 8419 and (329)^2 - 29^2 - 3^2 = 6719 are both primes.`
	CROSSREFS	`Sequence in context: A041621 A022272 A141854 this_sequence A114043 A001779 A053295` `Adjacent sequences: A079793 A079794 A079795 this_sequence A079797 A079798 A079799`
	KEYWORD	`easy,nonn`
	AUTHOR	`Olivier Gerard (ogerard(AT)ext.jussieu.fr), Feb 19 2003`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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