A053361 Numbers k such that 289*2^k + 1 is prime.

10, 22, 34, 42, 150, 1758, 6706, 11634, 18502, 52614, 102150, 194830, 207546, 252858, 333406, 638902, 989182, 1117182, 1317378, 1522650

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for k < 300

Wilfrid Keller, List of primes k.2^n - 1 for k < 300

Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Mathematica

Select[Range[5*10^3], PrimeQ[289*2^# + 1] &] (* G. C. Greubel, May 25 2018 *)

Prog

(PARI) is(n)=ispseudoprime(289*2^n+1) \\ Charles R Greathouse IV, Jun 13 2017
(Magma) [n: n in [1..3000] | IsPrime(289*2^n+1)];  // G. C. Greubel, May 25 2018

Crossrefs

Sequence in context: A350627 A367918 A109958 * A214153 A179887 A339003

Adjacent sequences: A053358 A053359 A053360 * A053362 A053363 A053364

Keyword

hard,nonn,more

Author

N. J. A. Sloane, Dec 29 1999

Extensions

a(11)-a(20) from the Ray Ballinger and Wilfrid Keller link by Robert Price, Dec 22 2018

Status

approved