A138601 Numbers n such that 2^(2*n-37)-37 is prime.

20, 21, 24, 30, 66, 74, 390, 1194, 1244, 2166, 2580, 4488

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Example

2^(2*24-37)-37=2011, 2^(2*30-37)-37=8388571, 2^(2*66-37)-37=39614081257132168796771975131,...

Mathematica

q=37; For[i=q, i<=q, a={}; Do[x=2^(2*n-i)-i; If[PrimeQ[x], AppendTo[a, n]], {n, 10^3}]; Print["2^(2*n-", i, ")-", i, " ", a]; i=i+2]
Select[Range[5000], PrimeQ[2^(2 # - 37) - 37] &] (* Harvey P. Dale, Dec 03 2021 *)

Prog

(PARI) is(n)=isprime(2^(2*n-37)-37) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Sequence in context: A030605 A125663 A241850 * A278582 A218539 A295488

Adjacent sequences: A138598 A138599 A138600 * A138602 A138603 A138604

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, May 13 2008

Extensions

More terms from Harvey P. Dale, Dec 03 2021

Status

approved