login
A075367
Smallest value of lcm(n+1, n+2, ..., n+k) (for k >= 0) that is divisible by the product of all the primes up to n.
4
1, 12, 60, 30, 2520, 2520, 360360, 180180, 60060, 60060, 232792560, 232792560, 26771144400, 26771144400, 26771144400, 13385572200, 144403552893600, 144403552893600, 5342931457063200, 5342931457063200, 5342931457063200
OFFSET
1,2
FORMULA
a(n) = lcm(n+1, ..., n + A075365(n)).
MATHEMATICA
a75365[n_] := Module[{div, k, pr}, div=Times@@Prime/@Range[PrimePi[n]]; For[k=0; pr=1, True, k++; pr*=n+k, If[Mod[pr, div]==0, Return[k]]]]; a[1]=1; a[n_] := LCM@@Range[n+1, n+a75365[n]]
CROSSREFS
KEYWORD
nice,nonn
AUTHOR
Amarnath Murthy, Sep 20 2002
EXTENSIONS
Edited by Dean Hickerson, Oct 28 2002
STATUS
approved