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A005845
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Lucas pseudoprimes: n | (L_n - 1), where n is composite and L_n = Lucas numbers A000032.
(Formerly M5469)
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10
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705, 2465, 2737, 3745, 4181, 5777, 6721, 10877, 13201, 15251, 24465, 29281, 34561, 35785, 51841, 54705, 64079, 64681, 67861, 68251, 75077, 80189, 90061, 96049, 97921, 100065, 100127, 105281, 113573, 118441, 146611, 161027
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OFFSET
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1,1
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COMMENTS
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This uses the definition of "Lucas pseudoprime" by Bruckman, not the one by Baillie and Wagstaff. - R. J. Mathar, Jul 15 2012
When these pseudoprimes are subjected to a Fermat based primality test (b^(a(n)-1) mod a(n) = 1), only a(2) = 2465 passes for b = 2 or 3 and only 68251 passes for b = 5. - Gary Detlefs, Feb 26 2013
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REFERENCES
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P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 104.
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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T. D. Noe, Table of n, a(n) for n=1..1000
R. Baillie and S. S. Wagstaff,Lucas pseudoprimes, Math. Comp 35 (1980) 1391-1417
P. S. Bruckman, Lucas Pseudoprimes are odd, Fib. Quart. 32 (1994), 155-157.
Eric Weisstein's World of Mathematics, Lucas Pseudoprime.
Index entries for sequences related to pseudoprimes
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CROSSREFS
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Sequence in context: A091553 A224491 A126830 * A183795 A074869 A212476
Adjacent sequences: A005842 A005843 A005844 * A005846 A005847 A005848
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from D. Broadhurst(AT)open.ac.uk.
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STATUS
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approved
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