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A179056 Numbers n such that prime(1)^1+prime(2)^2+...+prime(n)^n is prime. 0
1, 2, 8, 6402 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The number corresponding to 6402 is a probable prime. There is no

further term up to 9435.

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 the sequence.

MATHEMATICA

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

CROSSREFS

Cf. A000040.

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

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Last modified April 21 17:36 EDT 2021. Contains 343156 sequences. (Running on oeis4.)