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A100600 Numbers k such that (prime(k)-1)! + prime(k)^6 is prime. 2
3, 4, 29, 32, 133 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

k = {3, 4, 29, 32, 133} yields primes p(n) = {5, 7, 109, 131, 751}. There are no more such k up to k=100. Computed in collaboration with Ray Chandler.

a(6) > 600. - Jinyuan Wang, Apr 10 2020

LINKS

Table of n, a(n) for n=1..5.

FORMULA

Numbers k such that (prime(k)-1)! + prime(k)^6 is prime, where prime(k) is the k-th prime.

EXAMPLE

a(1) = 3 because (prime(3)-1)! + prime(3)^6 = (5-1)! + 5^6 = 15649 is the smallest prime of that form.

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[(p-1)!+p^6], AppendTo[lst, n]], {n, 10^2}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 08 2008 *)

CROSSREFS

Cf. A100599, A100602, A100858.

Sequence in context: A005326 A298561 A226049 * A345022 A288868 A076001

Adjacent sequences:  A100597 A100598 A100599 * A100601 A100602 A100603

KEYWORD

nonn,hard,more

AUTHOR

Jonathan Vos Post, Nov 30 2004

EXTENSIONS

a(5) from Jinyuan Wang, Apr 10 2020

STATUS

approved

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Last modified July 25 20:59 EDT 2021. Contains 346294 sequences. (Running on oeis4.)