A059611 Numbers k such that 2^k - 17 is prime.

6, 8, 12, 16, 18, 20, 22, 24, 32, 36, 42, 44, 96, 104, 152, 174, 198, 336, 414, 444, 468, 488, 664, 808, 848, 3632, 4062, 5586, 5904, 6348, 8628, 9224, 9916, 13136, 15966, 17120, 17568, 17652, 20560, 31572, 33644, 104098, 115842, 130572, 164110, 189414, 205110, 406758

Offset: 1

Author

Andrey V. Kulsha, Feb 05 2001

Keywords

• nonn

Comments

All terms are even since for odd k, 2^k - 17 is divisible by 3.

Examples

			444 is present because 2^444 - 17 is prime.
		

Links

• Henri Lifchitz and Renaud Lifchitz, Search for 2^n-17, PRP Top Records.

Crossrefs

Cf. A096502.

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).

Programs

Mathematica

Select[Range[5,20000],PrimeQ[2^#-17]&] (* Vladimir Joseph Stephan Orlovsky, Feb 27 2011 *)

PARI

is(n)=isprime(2^n-17) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

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

a(48) by Lelio R. Paula, added by Robert Price, Dec 06 2013