Is A064554 multiplicative?

Mitch Harris Harris.Mitchell at mgh.harvard.edu
Mon Jun 5 22:25:30 CEST 2006


From: T. D. Noe [mailto:noe at sspectra.com]
Sent: Monday, June 05, 2006 3:39 PM
> 
> >There is a comment in A064554 claiming that it is not multiplicative,
> >but the examples given show only that it is not totally 
> multiplicative.
> >  I think in fact it is multiplicative, but I have not been able to
> >determine this for certain.
> 
> It is not multiplicative because 463 = a(7*13) != a(7) a(13) 
> = 13*37 = 481

...and by exhaustive calculation, 91 (=7*13) is the smallest such n for
which multiplicativity fails (and it fails for all pairs of primes >=
11 and a*b such that a=7, b>=11).

Mitch






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