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A109302
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Values of k such that prime(k)!+prime(k+1) is prime.
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1
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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Table of n, a(n) for n=1..6.
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EXAMPLE
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4 is in the sequence because prime(4)=7, prime(5)=11 and 7!+11=5051 is prime.
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MAPLE
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a:=proc(n) if isprime(ithprime(n)!+ithprime(n+1))=true then n else fi end: seq(a(n), n=1..50);
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MATHEMATICA
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Select[Range[100], PrimeQ[Prime[#]!+Prime[#+1]]&] (* Harvey P. Dale, Jun 21 2021 *)
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PROG
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(PARI) isok(n) = isprime(prime(n)!+prime(n+1)); \\ Michel Marcus, Aug 20 2019
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CROSSREFS
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Cf. A094108.
Sequence in context: A058780 A183458 A109787 * A081480 A070841 A069801
Adjacent sequences: A109299 A109300 A109301 * A109303 A109304 A109305
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KEYWORD
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nonn,more
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AUTHOR
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Emeric Deutsch, Jun 24 2005
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STATUS
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approved
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