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%I #26 Nov 19 2023 08:26:20
%S 6,8,12,16,18,20,22,24,32,36,42,44,96,104,152,174,198,336,414,444,468,
%T 488,664,808,848,3632,4062,5586,5904,6348,8628,9224,9916,13136,15966,
%U 17120,17568,17652,20560,31572,33644,104098,115842,130572,164110,189414,205110,406758
%N Numbers k such that 2^k - 17 is prime.
%C All terms are even since for odd k, 2^k - 17 is divisible by 3.
%H Henri Lifchitz and Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=2%5En-17">Search for 2^n-17</a>, PRP Top Records.
%e 444 is present because 2^444 - 17 is prime.
%t Select[Range[5,20000],PrimeQ[2^#-17]&] (* _Vladimir Joseph Stephan Orlovsky_, Feb 27 2011 *)
%o (PARI) is(n)=isprime(2^n-17) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y Cf. A096502.
%Y Cf. Sequences of numbers k such that 2^k - d is prime: A000043 (d=1), A050414 (d=3), A059608 (d=5), A059609 (d=7), A059610 (d=9), A096817 (d=11), A096818 (d=13), A059612 (d=15), this sequence (d=17), A096819 (d=19), A096820 (d=21), A057220 (d=23), A356826 (d=29).
%K nonn
%O 1,1
%A _Andrey V. Kulsha_, Feb 05 2001
%E a(34)-a(40) from Max Alekseyev, a(41) from Paul Underwood, a(42)-a(44) from Gary Barnes, a(45)-a(47) from Lelio R Paula, added by _Max Alekseyev_, Feb 09 2012
%E a(48) by Lelio R. Paula, added by _Robert Price_, Dec 06 2013