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A109302 Values of k such that prime(k)!+prime(k+1) is prime. 1
1, 2, 3, 4, 21, 93 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The primes of the form prime(n)!+prime(n+1) are in A094108.

If it exists, a(7) > 1397. - J.W.L. (Jan) Eerland, Nov 27 2022

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

4 is in the sequence because prime(4)=7, prime(5)=11 and 7!+11=5051 is prime.

MAPLE

a:=proc(n) if isprime(ithprime(n)!+ithprime(n+1))=true then n else fi end: seq(a(n), n=1..50);

MATHEMATICA

Select[Range[100], PrimeQ[Prime[#]!+Prime[#+1]]&] (* Harvey P. Dale, Jun 21 2021 *)

PROG

(PARI) isok(n) = isprime(prime(n)!+prime(n+1)); \\ Michel Marcus, Aug 20 2019

CROSSREFS

Cf. A094108.

Sequence in context: A058780 A183458 A109787 * A081480 A070841 A069801

Adjacent sequences: A109299 A109300 A109301 * A109303 A109304 A109305

KEYWORD

nonn,more

AUTHOR

Emeric Deutsch, Jun 24 2005

STATUS

approved

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Last modified March 29 18:41 EDT 2023. Contains 361599 sequences. (Running on oeis4.)