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A058254
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a(n) = lcm{prime(i)-1, i=1..n}.
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12
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1, 1, 2, 4, 12, 60, 60, 240, 720, 7920, 55440, 55440, 55440, 55440, 55440, 1275120, 16576560, 480720240, 480720240, 480720240, 480720240, 480720240, 480720240, 19709529840, 19709529840, 39419059680, 197095298400, 3350620072800, 177582863858400, 532748591575200
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OFFSET
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0,3
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COMMENTS
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Alexander Kalmynin gives a proof that log a(n) = O(p log log p/log p) where p is the n-th prime, see the MathOverflow link. - Charles R Greathouse IV, Sep 17 2021
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LINKS
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FORMULA
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EXAMPLE
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For n = 5 and 6: a(5) = a(6) = LCM[1, 2, 4, 6, 10, 12] = 60.
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MAPLE
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seq(ilcm(seq(ithprime(i)-1, i=1..n)), n=0..100); # Robert Israel, Nov 24 2014
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MATHEMATICA
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PROG
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(Haskell)
a058254 n = a058254_list !! (n-1)
a058254_list = scanl1 lcm a006093_list
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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