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Search: id:A055385
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A055385 Smallest factor of n^n + 1. +0
3
2, 5, 2, 257, 2, 13, 2, 97, 2, 101, 2, 89, 2, 29, 2, 274177, 2, 5, 2, 148721, 2, 5, 2, 17, 2, 53, 2, 449, 2, 17, 2, 641, 2, 13, 2, 17, 2, 5, 2, 17, 2, 5, 2, 41, 2, 29, 2, 769, 2, 41, 2, 89, 2, 13, 2, 17, 2, 5, 2, 17, 2, 5, 2, 59649589127497217, 2, 37, 2, 41, 2, 13, 2, 97, 2, 149 (list; graph; listen)
OFFSET

1,1

REFERENCES

C. Stanley Ogilvy and John T. Anderson, Excursions in Number Theory. Dover. New York: 1988. Page 82.

LINKS

Is there any value of n other than 1, 2, and 4, such that n^n+1 is a prime?

EXAMPLE

4^4 + 1 = 257 is the largest known prime in the underlying sequence; 6^6 + 1 = 13 * 37 * 97, so a(6) = 13.

CROSSREFS

Cf. A014566, A055386.

Sequence in context: A098886 A089120 A019295 this_sequence A108429 A130280 A011035

Adjacent sequences: A055382 A055383 A055384 this_sequence A055386 A055387 A055388

KEYWORD

nonn

AUTHOR

Walter Nissen (wnissen(AT)tfn.net), Jun 24 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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