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Search: id:A006972
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| A006972 |
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Lucas-Carmichael numbers: square-free composite numbers n such that p | n => p+1 | n+1.
(Formerly M5450)
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+0
3
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| 399, 935, 2015, 2915, 4991, 5719, 7055, 8855, 12719, 18095, 20705, 20999, 22847, 29315, 31535, 46079, 51359, 60059, 63503, 67199, 73535, 76751, 80189, 81719, 88559, 90287, 104663, 117215, 120581, 147455, 152279, 155819, 162687, 191807
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 399, p. 89, Ellipses, Paris 2008.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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J. Perry, Lucas-Carmichael numbers
Index entries for sequences related to Carmichael numbers.
Wikipedia, Lucas-Carmichael number
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MATHEMATICA
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Select[ Range[ 2, 10^6 ], !PrimeQ[ # ] && Union[ Transpose[ FactorInteger[ # ] ][ [ 2 ] ] ] == {1} && Union[ Mod[ # + 1, Transpose[ FactorInteger[ # ] ][ [ 1 ] ] + 1 ] ] == {0} & ]
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CROSSREFS
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Sequence in context: A046013 A126231 A158317 this_sequence A065767 A166915 A110885
Adjacent sequences: A006969 A006970 A006971 this_sequence A006973 A006974 A006975
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KEYWORD
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nonn
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AUTHOR
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rgep(AT)chalcedon.demon.co.uk; Jeffrey Shallit
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