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A056729 If p | n, then p+1 | n+1 for composite n. 2
8, 27, 32, 63, 125, 128, 243, 275, 343, 399, 512, 567, 575, 935, 1127, 1331, 1539, 2015, 2048, 2187, 2197, 2303, 2783, 2915, 3087, 3125, 4563, 4913, 4991, 5103, 5719, 5831, 6399, 6859, 6875, 6929, 7055, 7139, 7625, 8192, 8855, 12167, 12719, 14027 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The Lucas-Carmichael numbers (A006972) are a subset.

Contains p^(2k+1) for any prime p, since (x+1) | (x^n + 1) when n is odd.

MATHEMATICA

Select[ Range[ 2, 10^5 ], ! PrimeQ[ # ] && Union[ Mod[ # + 1, Transpose[ FactorInteger[ # ]][ [ 1 ]] + 1 ]] == {0} & ]

CROSSREFS

Cf. A006972.

Sequence in context: A070496 A115169 A070495 * A070265 A102834 A116002

Adjacent sequences:  A056726 A056727 A056728 * A056730 A056731 A056732

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2000

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Last modified February 16 23:43 EST 2012. Contains 205978 sequences.