Product of sigma(k)/phi(k)

Max relf at unn.ac.ru
Wed Jul 6 22:18:21 CEST 2005


Leroy Quet wrote:
> Let sigma(k) = sum{j|k} j.
> Let phi(k) be the number of positive integers <= k and coprime to k.
> 
> Then for which n's is
> 
> product{k=1 to n} sigma(k)/phi(k)
> 
> an integer?

I've got
1 2 3 4 6 7 8 14 15
and no other n up to 10000.

Max






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