A235267 - OEIS

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A235267

Places n such that 1 + q!/p! is prime, where p = prime(n) and q = prime(n + 1).

3, 5, 33, 35, 43, 69, 86, 106, 108, 116, 124, 127, 171, 174, 182, 200, 201, 238, 255, 256, 270, 271, 277, 294, 310, 318, 323, 332, 356, 384, 388, 390, 392, 397, 398, 402, 409, 469, 494, 495, 520, 542, 551, 562, 572, 582, 606, 632, 633, 645, 649, 652, 671, 672 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	LINKS	`K. D. Bajpai, Table of n, a(n) for n = 1..1510`
	EXAMPLE	`3 is in the sequence because (prime(3)! + prime(4)!)/prime(3)! = (5! + 7!)/5! = (120 + 5040)/120 = 43 which is prime.`
	MAPLE	`isA235267 := proc(n)` `local p, q ;` `p := ithprime(n) ;` `q := nextprime(p) ;` `if isprime(1+q!/p!) then` `true;` `else` `false;` `end if;` `end proc:` `for n from 1 do` `if isA235267(n) then` `print(n) ;` `end if;` `end do:`
	CROSSREFS	`Cf. A000040, A100858.` `Sequence in context: A179387 A295364 A199774 * A284379 A103010 A225866` `Adjacent sequences: A235264 A235265 A235266 * A235268 A235269 A235270`
	KEYWORD	`nonn`
	AUTHOR	`K. D. Bajpai, Jan 05 2014`
	STATUS	`approved`

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Last modified February 1 04:32 EST 2023. Contains 359981 sequences. (Running on oeis4.)