A187613 Primes of the form 2*(n+1)^n-1

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.

Links

Table of n, a(n) for n=1..9.

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

Adjacent sequences: A187610 A187611 A187612 * A187614 A187615 A187616

Keyword

nonn

Author

Marco Ripà, Mar 11 2011

Status

approved