A100362 Primes of the form 2^k - k + 1.

2, 2, 3, 13, 59, 65521, 262127, 18014398509481931, 288230376151711687, 1267650600228229401496703205277, 1329227995784915872903807060280344457

Offset: 1

Author

Labos Elemer, Nov 19 2004

Keywords

• nonn
• easy

Comments

The next term has 151 digits. - Stefan Steinerberger, Feb 11 2006

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..14

Crossrefs

Cf. A001580, A052007, A048744, A100357-A100361.

Programs

Magma

[ a: n in [0..200] | IsPrime(a) where a is 2^n-n+1 ]; // Vincenzo Librandi, Jul 18 2012

Mathematica

Select[Table[2^n-n+1,{n,0,500}],PrimeQ] (* Vincenzo Librandi, Jul 18 2012 *)

Sage

def list_a(k):
  return [(2**i) - i + 1 for i in range(k) if (2**i) - i + 1 in Primes()] # Giuseppe Bonaccorso, Aug 15 2019