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

1, 2, 8, 6402

Offset

1,2

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

Links

Table of n, a(n) for n=1..4.

Example

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

Mathematica

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

Crossrefs

Cf. A087480.

Sequence in context: A324567 A135238 A133376 * A160814 A038582 A309860

Adjacent sequences: A179053 A179054 A179055 * A179057 A179058 A179059

Keyword

hard,more,nonn

Author

Farideh Firoozbakht, Jun 27 2010

Status

approved