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A057738 Primes p such that 3^p + 2 is prime. 2

%I #22 Sep 08 2022 08:45:02

%S 2,3,139

%N Primes p such that 3^p + 2 is prime.

%C No other terms below 2*10^5.

%C Primes in A051783. - _Jens Kruse Andersen_, Jun 29 2014

%D J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 139, p. 48, Ellipses, Paris 2008.

%e a(2) = 3 because 3^3 + 2 = 29 is prime.

%t For[n = 1, n < 700, n++, If[PrimeQ[3^Prime[n] + 2], Print[Prime[n]]]] (* _Stefan Steinerberger_, Mar 18 2006 *)

%o (Magma) [p: p in PrimesUpTo(2000) | IsPrime(3^p+2)]; // _Vincenzo Librandi_, Jun 30 2014

%Y Cf. A051783, A057739.

%K more,nonn,bref

%O 1,1

%A _G. L. Honaker, Jr._, Oct 29 2000

%E Lower bound for the next term updated by _Max Alekseyev_, Jun 14 2011

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)