id:A084952 - OEIS Search Results

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Middle q of three consecutive primes p,q,r such that (p^2+q^2+r^2)/3 is prime.

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11, 13, 23, 43, 53, 103, 211, 223, 233, 263, 271, 281, 293, 317, 331, 349, 397, 431, 463, 479, 499, 557, 577, 643, 761, 773, 787, 797, 829, 929, 1187, 1327, 1373, 1399, 1427, 1429, 1451, 1453, 1483, 1583, 1627, 1667, 1693, 1747, 1753, 1783, 2027, 2099, 2129 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`a(3)=23 because (19^2+23^2+29^2)/3=1731/3=577 is prime.`
	CROSSREFS	`Cf. A075893, A084951.` `Sequence in context: A097933 A166484 A127043 this_sequence A090433 A022325 A153055` `Adjacent sequences: A084949 A084950 A084951 this_sequence A084953 A084954 A084955`
	KEYWORD	`easy,nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 14 2003`

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Last modified December 7 23:45 EST 2009. Contains 170430 sequences.

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