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A171261 Numbers n such that prime(n)^n-n is prime. 0

%I #2 Mar 31 2012 14:45:48

%S 2,8,24,42

%N Numbers n such that prime(n)^n-n is prime.

%C All terms are even. There is no further term up to 10000. So the prime

%C corresponding to the next term if it exists has more than 50200 digits.

%C 1 and 2 are the only known numbers n (up to 10000) such that prime(n)^n+n

%C is prime.

%e prime(2)^2-2=3^2-2=7 is prime, so 2 is in the sequence.

%t Do[If[PrimeQ[Prime[n]^n-n],Print[n]],{n,50000}]

%Y Cf. A000040.

%K nonn

%O 1,1

%A _Farideh Firoozbakht_, Dec 07 2009

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)