id:A056729 - OEIS Search Results

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If p | n, then p+1 | n+1 for composite n.

+0
3

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; listen)

	OFFSET	`1,1`
	COMMENT	`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 this_sequence A070265 A102834 A116002` `Adjacent sequences: A056726 A056727 A056728 this_sequence A056730 A056731 A056732`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2000`

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Last modified September 5 17:15 EDT 2008. Contains 143476 sequences.

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