A061421 Primes of the form 2^n+n+1.

2, 7, 71, 110427941548649020598956093796432407239217743554726184882600387580788973

Offset: 1

Author

Jason Earls, May 02 2001

Keywords

• nonn

Comments

Next term is 2^1884+1884+1, with 568 digits and is too large to include. - Emeric Deutsch, May 13 2006

The Wikipedia article "Zeisel number" gives a historical connection to A051015. - Jonathan Sondow, Oct 17 2017

Links

• K. S. Brown, The Sum of the Prime Factors of N (Part 2: Primes of the Form 2k-1 + k), Math Pages
• Wikipedia, Zeisel number

Crossrefs

Cf. A001580, A069539, A052007, A048744, A100357, A100358, A100359.

Cf. A061422.

Programs

Maple

a:=proc(n) if isprime(2^n+n+1)=true then 2^n+n+1 else fi end: seq(a(n),n=0..1000); # Emeric Deutsch, May 13 2006

Mathematica

{ta={{0}}, tb={{0}}};Do[g=n;s=2^n+n+1; If[PrimeQ[s], Print[n];ta=Append[ta, n]; tb=Append[tb, s]], {n, 1, 10000}];{ta, tb, g} (* Labos Elemer, Nov 19 2004 *)

Extensions

Edited by N. J. A. Sloane, May 04 2007