A121248 Numbers k such that the sum of the first 2^k primes is a prime.

0, 1, 2, 6, 9, 10, 32, 36, 55

Offset: 1

Author

Alexander Adamchuk, Aug 22 2006

Keywords

• nonn
• hard
• more

Comments

Corresponding primes in the sums of the first 2^n primes or primes in A099825[n] are given in A113617[n] = {2,5,17,8893,868151,3875933,219554912086470964379,...}.

Crossrefs

Cf. A099825, A013916, A013918, A113617.

Programs

Mathematica

Do[f=Sum[Prime[k],{k,1,2^n}]; If[PrimeQ[f],Print[{n,f}]],{n,0,32}]

Formula

A099825(a(n)) = A113617(n). - Amiram Eldar, Jul 01 2024

Extensions

Edited by Robert G. Wilson v, Aug 26 2006

a(7)-a(9) from Amiram Eldar, Jul 01 2024