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A053670
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Least number coprime to n and n+1.
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14
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3, 5, 5, 3, 7, 5, 3, 5, 7, 3, 5, 5, 3, 11, 7, 3, 5, 5, 3, 11, 5, 3, 5, 7, 3, 5, 5, 3, 7, 7, 3, 5, 5, 3, 11, 5, 3, 5, 7, 3, 5, 5, 3, 7, 7, 3, 5, 5, 3, 7, 5, 3, 5, 7, 3, 5, 5, 3, 7, 7, 3, 5, 5, 3, 7, 5, 3, 5, 11, 3, 5, 5, 3, 7, 7, 3, 5, 5, 3, 7, 5, 3, 5, 11, 3, 5, 5, 3, 7, 11, 3, 5, 5, 3, 7, 5, 3, 5, 7, 3, 5
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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a[n_] := For[k = 3, True, k++, If[CoprimeQ[k, n, n+1], Return[k]]]; Table[a[n], {n, 1, 101}] (* Jean-François Alcover, Sep 20 2012 *)
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PROG
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(Haskell)
a053670 n = head [x | x <- [3, 5 ..],
n `gcd` x == 1, (n + 1) `gcd` x == 1]
(Python)
from math import gcd
def a(n):
k, m = 3, n*(n+1)
while gcd(k, m) != 1: k += 2
return k
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CROSSREFS
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KEYWORD
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nonn,nice,easy
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AUTHOR
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EXTENSIONS
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More terms from Andrew Gacek (andrew(AT)dgi.net), Feb 21 2000 and James A. Sellers, Feb 22 2000
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STATUS
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approved
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