A081296 Primes of the form 2^k - k.

2, 5, 503, 8179, 524269, 2097131, 36028797018963913, 3705346855594118253554271520278013051304639509300498049262642688253220148477691

Offset

1,1

Comments

Primes in A000325.

The corresponding k are given in A048744.

Next term a(9) contains roughly 1000 digits and is too large to include. - R. J. Mathar, Jul 15 2007

Links

Table of n, a(n) for n=1..8.

Formula

a(n) = 2^A048744(n) - A048744(n). - R. J. Mathar, Jul 22 2009

Mathematica

Select[Table[2^n-n, {n, 300}], PrimeQ] (* Harvey P. Dale, Nov 24 2018 *)

Prog

(PARI) { for(k=1, 100000, if(isprime(2^k-k), print1(2^k-k, ", "))); } \\ R. J. Mathar, Jul 15 2007

Crossrefs

Cf. A048744 (k such that 2^k - k is prime).

Sequence in context: A208211 A138696 A163798 * A133378 A283561 A037063

Adjacent sequences: A081293 A081294 A081295 * A081297 A081298 A081299

Keyword

nonn

Author

Reinhard Zumkeller, Apr 20 2003

Extensions

More terms from R. J. Mathar, Jul 15 2007

Status

approved