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A070855 Smallest prime of the form k*n^n + 1. 3

%I #10 Oct 19 2017 03:14:01

%S 2,5,109,257,37501,139969,3294173,167772161,3874204891,30000000001,

%T 24536803672547,17832200896513,12115004263690121,344472211592298497,

%U 12261028930664062501,221360928884514619393,6617922095090694113417

%N Smallest prime of the form k*n^n + 1.

%C By Linnik's theorem, a(n) = O(n^(Ln)) for some effectively computable L.

%C For more terms, see A175763.

%H Charles R Greathouse IV, <a href="/A070855/b070855.txt">Table of n, a(n) for n = 1..385</a>

%t 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 *)

%Y Cf. A121270, A110932, A175763.

%K nonn

%O 1,1

%A _Amarnath Murthy_, May 15 2002

%E More terms from _Don Reble_, May 16 2002

%E Comments and b-file from _Charles R Greathouse IV_, Aug 30 2010

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)