A182425 - OEIS

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A182425

a(n) the largest integer K such that (prime(n+1)-1)^(2^k)+1 for 0<=k<=K is prime.

4, 3, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`This sequence is a generalized reference to Fermat primes.`
	LINKS	`Table of n, a(n) for n=1..87.`
	MATHEMATICA	`Table[k = 0; While[PrimeQ[(Prime[n+1] - 1)^(2^k) + 1], k++]; k - 1, {n, 100}] (* T. D. Noe, Apr 28 2012 *)`
	CROSSREFS	`Cf. A182199.` `Sequence in context: A023446 A258447 A066440 * A071692 A307335 A030586` `Adjacent sequences: A182422 A182423 A182424 * A182426 A182427 A182428`
	KEYWORD	`nonn`
	AUTHOR	`Thomas Ordowski, Apr 28 2012`
	STATUS	`approved`

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Last modified March 22 18:43 EDT 2023. Contains 361432 sequences. (Running on oeis4.)