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%I #5 May 22 2021 04:28:10
%S 3,4,6,10,12,20,150
%N Numbers k such that (2^k-5, 2^k-3) are twin primes.
%C No more terms <= A050414(66) = 2086750.
%H G. L. Honaker, Jr. and Chris K. Caldwell, <a href="https://primes.utm.edu/curios/page.php?short=150">Prime Curios! 150</a>.
%e 3 is a term since (2^3-5, 2^3-3) = (3, 5) are twin primes.
%t Select[Range[150], And @@ PrimeQ[2^# - {3,5}] &]
%Y Intersection of A050414 and A059608.
%Y Cf. A001097.
%K nonn,more,hard
%O 1,1
%A _Amiram Eldar_, May 21 2021