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A036878 Integers of the form p^(p-1), where p is prime. +0
5
2, 9, 625, 117649, 25937424601, 23298085122481, 48661191875666868481, 104127350297911241532841, 907846434775996175406740561329, 88540901833145211536614766025207452637361 (list; graph; listen)
OFFSET

0,1

COMMENT

Also the least refactorable number (A033950) k has the n-th prime as its least prime factor. - Robert G. Wilson v Jun 28 2006.

LINKS

S. Colton, Refactorable Numbers - A Machine Invention, J. Integer Sequences, Vol. 2, 1999, #2.

S. Colton, HR - Automatic Theory Formation in Pure Mathematics

EXAMPLE

5^{5-1} = 5^4 = 625

MATHEMATICA

Table[Prime@n^(Prime@n - 1), {n, 10}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Jun 28 2006)

CROSSREFS

These integers are refactorable - i.e. the number of divisors divides the number itself, cf. A033950.

Adjacent sequences: A036875 A036876 A036877 this_sequence A036879 A036880 A036881

Sequence in context: A000883 A086693 A085605 this_sequence A008322 A135361 A023366

KEYWORD

nonn,easy

AUTHOR

Simon Colton (simonco(AT)cs.york.ac.uk)

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.


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