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%I #5 May 13 2013 01:49:11
%S 2,5,7,17,61,617,7741,10691
%N Primes p for which floor(p^phi) and floor(phi^p) are prime.
%t $MaxExtraPrecision=8!; Select[Prime[Range[3*6! ]],PrimeQ[Floor[ #^GoldenRatio]]&&PrimeQ[Floor[GoldenRatio^# ]]&]
%o (PARI) phi=(1+sqrt(5))/2; forprime(p=2, 1e3, if(isprime(floor(p^phi)) && isprime(floor(phi^p)), print1(p", "))) \\ _Charles R Greathouse IV_, Jul 29 2011
%Y Intersection of A168033 and A168034.
%K nonn,less
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Nov 17 2009