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A179056
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Numbers k such that prime(1)^1 + prime(2)^2 + ... + prime(k)^k is prime.
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0
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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Table of n, a(n) for n=1..4.
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EXAMPLE
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prime(1)^1 + prime(2)^2 + ... + prime(8)^8 = 17398892111 is prime, so 8 is in the sequence.
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MATHEMATICA
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Select[Range[1, 100], PrimeQ[Sum[Prime[i]^i, {i, 1, #}]] &] (* Julien Kluge, Dec 03 2016 *)
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CROSSREFS
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Cf. A087480.
Sequence in context: A324567 A135238 A133376 * A160814 A038582 A309860
Adjacent sequences: A179053 A179054 A179055 * A179057 A179058 A179059
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KEYWORD
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hard,more,nonn,changed
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AUTHOR
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Farideh Firoozbakht, Jun 27 2010
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STATUS
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approved
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