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 A168035 Primes p for which floor(p^phi) and floor(phi^p) are prime. 0
 2, 5, 7, 17, 61, 617, 7741, 10691 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..8. MATHEMATICA \$MaxExtraPrecision=8!; Select[Prime[Range[3*6! ]], PrimeQ[Floor[ #^GoldenRatio]]&&PrimeQ[Floor[GoldenRatio^# ]]&] PROG (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 CROSSREFS Intersection of A168033 and A168034. Sequence in context: A303677 A303802 A045357 * A247323 A099357 A306918 Adjacent sequences: A168032 A168033 A168034 * A168036 A168037 A168038 KEYWORD nonn,less AUTHOR Vladimir Joseph Stephan Orlovsky, Nov 17 2009 STATUS approved

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Last modified June 15 10:58 EDT 2024. Contains 373407 sequences. (Running on oeis4.)