Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #10 Mar 20 2022 17:12:03
%S 2,7,11,23,37,79,101,107,131,149,163,227,241,283,311,353,367,379,383,
%T 409,419,457,487,509,613,661,719,761,797,971,997,1049,1279,1321,1373,
%U 1447,1451,1453,1483,1531,1613,1699,1861,1877,2011,2039,2069,2137,2143
%N Primes p for which floor(p*phi) is prime, where phi is the golden ratio.
%H Charles R Greathouse IV, <a href="/A168032/b168032.txt">Table of n, a(n) for n = 1..10000</a>
%t Select[Prime[Range[6! ]],PrimeQ[Floor[GoldenRatio*# ]]&]
%o (PARI) phi=(1+sqrt(5))/2;forprime(p=2,1e5,if(isprime(floor(p*phi)),print1(p", "))) \\ _Charles R Greathouse IV_, Jul 29 2011
%Y Cf. A001622 (phi).
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Nov 17 2009