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

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

Offset

1,1

Comments

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

Links

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

Mathematica

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

Prog

(Magma) [ a: n in [0..200] | IsPrime(a) where a is 2^n-n+1 ]; // 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

Crossrefs

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

Sequence in context: A268725 A153929 A184843 * A062439 A139521 A019515

Adjacent sequences: A100359 A100360 A100361 * A100363 A100364 A100365

Keyword

nonn,easy

Author

Labos Elemer, Nov 19 2004

Status

approved