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A114873 Numbers representable in exactly one way as (p-1)p^k (where p is a prime and k>=0), in ascending order. +0
2
1, 8, 10, 12, 20, 22, 28, 30, 32, 36, 40, 46, 52, 54, 58, 60, 64, 66, 70, 72, 78, 82, 88, 96, 102, 106, 108, 110, 112, 126, 128, 130, 136, 138, 148, 150, 166, 172, 178, 180, 190, 192, 196, 198, 210, 222, 226, 228, 232, 238, 240, 250, 262, 268, 270, 272, 276, 280 (list; graph; listen)
OFFSET

1,2

EXAMPLE

(2-1)*2^3 is the only representation of 8 in the required form.

MATHEMATICA

s = Split@ Sort@ Flatten@ Table[(Prime[n] - 1)Prime[n]^k, {n, 60}, {k, 0, 6}]; Take[Union@ Flatten@ Select[s, Length@# == 1 &], 80] (* Robert G. Wilson v *)

CROSSREFS

Cf. A114871, A114874.

Adjacent sequences: A114870 A114871 A114872 this_sequence A114874 A114875 A114876

Sequence in context: A008557 A096171 A096281 this_sequence A115168 A112549 A112585

KEYWORD

nonn

AUTHOR

Franz Vrabec (franz.vrabec(AT)planetuniqa.at), Jan 03 2006

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jan 05 2006

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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