[seqfan] Re: Strange comment in A003418

Maximilian Hasler maximilian.hasler at gmail.com
Sat Oct 22 19:08:35 CEST 2011


The contributor did not specify for which n this has to hold.

Obviously the inequality cannot hold for n=1, since the rhs is 0 and
the lhs nonnegative.

Maximilian




On Sat, Oct 22, 2011 at 6:31 AM, Georgi Guninski <guninski at guninski.com> wrote:
> A003418 a(0) = 1; for n >= 1, a(n) = least common multiple (or lcm) of {1, 2, ..., n}
>
> An assertion equivalent to the Riemann hypothesis is: | log(a(n)) - n | < sqrt(n) * log(n)^2. - Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 27 2006
>
> According to my computations the inequality fails for n in {1,2}.
>
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