A107295 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A107295

Numbers n such that prime(n^2) - n^2 is prime.

2, 4, 12, 14, 20, 42, 48, 56, 60, 88, 104, 120, 126, 134, 138, 160, 164, 182, 186, 204, 226, 254, 270, 276, 312, 316, 330, 336, 350, 382, 408, 410, 414, 422, 438, 448, 450, 480, 492, 494, 502, 522, 546, 568, 580, 596, 620, 624, 640, 650, 690, 696 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	LINKS	`Table of n, a(n) for n=1..52.`
	EXAMPLE	`88 is in the sequence because prime(88^2) - 88^2 = prime(7744) - 7744 = 78977 - 7744 = 71233 = prime(7051).`
	MATHEMATICA	`Select[Range[700], PrimeQ[Prime[#^2]-#^2]&] (* Harvey P. Dale, Jun 20 2015 *)`
	PROG	`(PARI) isok(n) = isprime(prime(n^2) - n^2); \\ Michel Marcus, Oct 09 2013`
	CROSSREFS	`Cf. A064269 (prime(n)-n is prime), A141129 (prime(n^2)-n^2).` `Sequence in context: A039587 A194368 A111069 * A039564 A297064 A263466` `Adjacent sequences: A107292 A107293 A107294 * A107296 A107297 A107298`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov, May 20 2005`
	EXTENSIONS	`More terms from Michel Marcus, Oct 09 2013`
	STATUS	`approved`

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 8 17:38 EST 2022. Contains 358698 sequences. (Running on oeis4.)