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%I #8 Sep 02 2022 17:37:45
%S 1,2,3,4,15
%N Numbers n such that both 3^n+2 and 2^n+3 are primes.
%C Intersection of A057732 and A051783. a(6)>1000.
%C Since this is the intersection of A057732 and A051783, a(6)>95504. - _Dmitry Kamenetsky_, Jul 29 2008
%t Select[Range[20],AllTrue[{3^#+2,2^#+3},PrimeQ]&] (* _Harvey P. Dale_, Sep 02 2022 *)
%o (PARI) for(n=0,1000,if(isprime(2^n+3)&&isprime(3^n+2),print(n)))
%Y Cf. A051783, A057732.
%K more,nonn
%O 1,2
%A _Zak Seidov_, Jan 29 2008