

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
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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

Cf. A121270, A110932, A175763.
Sequence in context: A237267 A215572 A023263 * A228850 A041237 A221476
Adjacent sequences: A070852 A070853 A070854 * A070856 A070857 A070858


KEYWORD

nonn


AUTHOR

Amarnath Murthy, May 15 2002


EXTENSIONS

More terms from Don Reble (djr(AT)nk.ca), May 16 2002
Comments and bfile from Charles R Greathouse IV, Aug 30 2010


STATUS

approved



