A098681 Largest prime smaller than n^n.

3, 23, 251, 3121, 46649, 823541, 16777213, 387420479, 9999999967, 285311670569, 8916100448237, 302875106592241, 11112006825557999, 437893890380859323, 18446744073709551557, 827240261886336764159, 39346408075296537575359

Offset

2,1

Links

Hugo Pfoertner, Table of n, a(n) for n = 2..386

Mathematica

PrimePrev[n_]:=Module[{k}, k=n-1; While[ !PrimeQ[k], k-- ]; k]; f[n_]:=n^n; lst={}; Do[AppendTo[lst, PrimePrev[f[n]]], {n, 30}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 25 2010 *)
Table[NextPrime[n^n, -1], {n, 2, 20}] (* Harvey P. Dale, Dec 02 2017 *)

Crossrefs

Cf. A000312, A074967, A098682, A161503, A333184.

Sequence in context: A151433 A199750 A318004 * A118790 A159017 A004700

Adjacent sequences: A098678 A098679 A098680 * A098682 A098683 A098684

Keyword

easy,nonn

Author

Olaf Voß, Oct 27 2004

Status

approved