A125957 - OEIS

A125957

Numbers n such that (2^n + 11^n)/13 is prime.

3, 5, 17, 67, 83, 101, 1373, 6101, 12119, 61781 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`All terms are primes. Corresponding primes of the form (2^n + 11^n)/13 are {103, 12391, 38880540653801911, ...}.` `a(11) > 10^5. - Robert Price, Feb 26 2013`
	LINKS	`Table of n, a(n) for n=1..10.`
	MATHEMATICA	`Do[p=Prime[n]; f=(2^p+11^p)/13; If[PrimeQ[f], Print[{p, f}]], {n, 1, 100}]`
	PROG	`(PARI) is(n)=ispseudoprime((2^n+11^n)/13) \\ Charles R Greathouse IV, Feb 20 2017`
	CROSSREFS	`Cf. A000978 = numbers n such that (2^n + 1)/3 is prime. Cf. A057469 = numbers n such that (2^n + 3^n)/5 is prime. Cf. A082387 = numbers n such that (2^n + 5^n)/7 is prime.` `Sequence in context: A265425 A256438 A251737 * A374150 A259908 A137460` `Adjacent sequences: A125954 A125955 A125956 * A125958 A125959 A125960`
	KEYWORD	`hard,more,nonn`
	AUTHOR	`Alexander Adamchuk, Feb 06 2007`
	EXTENSIONS	`2 more terms from Ryan Propper, Feb 09 2008` `a(9)-a(10) from Robert Price, Feb 26 2013`
	STATUS	`approved`