id:A130761 - OEIS Search Results

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Primes prime(n) such that at least one of the two numbers (prime(n+2)^2-prime(n)^2)/2 - 1 and (prime(n+2)^2-prime(n)^2)/2 + 1 is prime.

+0
8

3, 5, 7, 11, 13, 19, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 79, 83, 97, 107, 127, 139, 149, 157, 179, 181, 191, 197, 227, 229, 239, 251, 263, 283, 293, 307, 347, 349, 353, 373, 419, 439, 443, 463, 467, 479, 499, 523, 541, 569, 601, 607, 613, 617, 619 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`(7^2 - 3^2)/2 - 1 is 19. Therefore 3 is in the sequence. (19^2 - 13^2)/2 + 1 is 97. Hence 13 is in the sequence.`
	MATHEMATICA	`Prime[Select[Range[140], PrimeQ[(Prime[ #+2]^2-Prime[ # ]^2)/2+1] \|\| PrimeQ[(Prime[ # +2]^2-Prime[ # ]^2)/2-1] &]]`
	CROSSREFS	`Sequence in context: A020575 A055072 A059334 this_sequence A154966 A072667 A059353` `Adjacent sequences: A130758 A130759 A130760 this_sequence A130762 A130763 A130764`
	KEYWORD	`nonn,less`
	AUTHOR	`J. M. Bergot (thekingfishb(AT)yahoo.ca), Jul 13 2007`
	EXTENSIONS	`Edited and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 23 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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