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Search: id:A109760
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| A109760 |
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Composite n such that binomial(5*n,n) == 5^n (mod n). |
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+0
1
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| 1, 4, 365, 400, 685, 3200, 6400, 12550, 12800, 16525, 25600
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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No more terms through 50000.
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EXAMPLE
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4 is a term because binomial(5*4, 4) = 4845, 5^4 = 625 and 4845 mod 4 = 625 mod 4 = 1.
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MATHEMATICA
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Do[If[ !PrimeQ[n], If[Mod[Binomial[5*n, n], n] == Mod[5^n, n], Print[n]]], {n, 1, 50000}]
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CROSSREFS
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Cf. A080469.
Adjacent sequences: A109757 A109758 A109759 this_sequence A109761 A109762 A109763
Sequence in context: A074844 A052391 A051955 this_sequence A051181 A038015 A003753
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KEYWORD
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hard,more,nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Aug 12 2005
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