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A187613
Primes of the form 2*(n+1)^n-1
0
3, 17, 127, 1249, 15551, 2305843009213693951, 31038897942201777945149702143, 2367537365232383918755194875240328986623, 570547835447447752112342166810585564655534923425416186081
OFFSET
1,1
COMMENTS
For n=1,2,3,4,5 we have 5 prime numbers, so they are the first terms of the sequence. No other primes has been found for n<101.
EXAMPLE
For n=5 we have the prime p:=12^5-1=15551.
MATHEMATICA
Do[p=2*(n+1)^n-1; If[PrimeQ[p], Print[p]], {n, 100}]
Select[Table[2(n+1)^n-1, {n, 40}], PrimeQ] (* Harvey P. Dale, Dec 02 2017 *)
CROSSREFS
Cf. A093460.
Sequence in context: A129115 A246963 A093460 * A179300 A199493 A245059
KEYWORD
nonn
AUTHOR
Marco Ripà, Mar 11 2011
STATUS
approved