A179056 Numbers k such that prime(1)^1 + prime(2)^2 + ... + prime(k)^k is prime.

1, 2, 8, 6402

Offset: 1

Author

Farideh Firoozbakht, Jun 27 2010

Keywords

• hard
• more
• nonn

Comments

The number corresponding to k=6402 is a probable prime. There is no further term up to 9435.

There is no further term up to 12600. - Michael S. Branicky, Mar 22 2023

Examples

			prime(1)^1 + prime(2)^2 + ... + prime(8)^8 = 17398892111 is prime, so 8 is in the sequence.
		

Crossrefs

Cf. A087480.

Programs

Mathematica

Select[Range[1, 100], PrimeQ[Sum[Prime[i]^i, {i, 1, #}]] &] (* Julien Kluge, Dec 03 2016 *)