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A116481 a(n) = n-th prime larger than n^n. 1

%I #7 Aug 31 2013 19:33:44

%S 2,7,37,271,3181,46703,823621,16777421,387420713,10000000207,

%T 285311671039,8916100448623,302875106592719,11112006825558313,

%U 437893890380859959,18446744073709552357,827240261886336765209

%N a(n) = n-th prime larger than n^n.

%e a(3)=37 because primes larger than 3^3=27 are 29,31,37,41,... and 37 is 3rd prime > 27.

%t Do[Print[Prime[PrimePi[n^n]+n]],{n,12}]

%o (PARI) { a(n) = local(p); p=n^n; for(i=1,n,p=nextprime(p+1)); p } - _Max Alekseyev_, Feb 01 2007

%Y Cf. A098682.

%K nonn

%O 1,1

%A _Zak Seidov_, Feb 17 2006

%E More terms from _Jon E. Schoenfield_, Sep 07 2006

%E Further terms from _Max Alekseyev_, Feb 01 2007

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Last modified March 5 02:44 EST 2024. Contains 370537 sequences. (Running on oeis4.)