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A070855
Smallest prime of the form k*n^n + 1.
3
2, 5, 109, 257, 37501, 139969, 3294173, 167772161, 3874204891, 30000000001, 24536803672547, 17832200896513, 12115004263690121, 344472211592298497, 12261028930664062501, 221360928884514619393, 6617922095090694113417
OFFSET
1,1
COMMENTS
By Linnik's theorem, a(n) = O(n^(Ln)) for some effectively computable L.
For more terms, see A175763.
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..385
MATHEMATICA
sp[n_]:=Module[{n2=n^n, k=1}, While[!PrimeQ[k*n2+1], k++]; k*n2+1]; Array[ sp, 20] (* Harvey P. Dale, Jul 06 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, May 15 2002
EXTENSIONS
More terms from Don Reble, May 16 2002
Comments and b-file from Charles R Greathouse IV, Aug 30 2010
STATUS
approved