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A108405 Numbers n such that a^u + b^u + c^u + ... is prime, where a*b*c* ... is the prime factorization of n and u is the largest prime dividing n. +0
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12, 28, 40, 48, 54, 80, 90, 96, 104, 108, 224, 350, 384, 390, 432, 500, 567, 570, 660, 686, 720, 770, 775, 810, 972, 1085, 1176, 1551, 1575, 1875, 2016, 2400, 2560, 2600, 2700, 2760, 2829, 2880, 2925, 3072, 3456, 3640, 3645, 3888, 4260, 4374, 4400, 4692 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(2)=28 because 28=2*2*7 and 2^7 + 2^7 + 7^7 = 823799, a prime.

CROSSREFS

Cf. A006530.

Sequence in context: A087252 A141274 A134618 this_sequence A044073 A044454 A098502

Adjacent sequences: A108402 A108403 A108404 this_sequence A108406 A108407 A108408

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 04 2005

EXTENSIONS

More terms from Ryan Propper (rpropper(AT)cs.stanford.edu), Feb 11 2008

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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