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Topic: abc - conjecture (experiment)
Replies: 3   Last Post: Mar 6, 1998 9:38 AM

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Gerry Myerson

Posts: 192
Registered: 12/8/04
Re: abc - conjecture (experiment)
Posted: Mar 5, 1998 11:28 PM
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In article <01bd4892$a5be9e40$ca1ec6c1@blasic.zv.hr>, "Branka Lasic"
<blasic@zv.hr> wrote:

=> Let a,b,c be nonzero relatively prime integers such that a + b = c.
=> Define the radical of x to be the product of the distinct primes dividing
=> x.
=> Let L(a,b)=log(a+b) / log rad(a*b*(a+b))
=> I have found max value of L to be
=> L(1,4374) = log 4375 / log(2*3*5*7) = 1.5678...
=> Does anybody know greater value of L?????

I think there was a paper in Mathematics of Computation a couple of years
back with largish values of L. Don't know whether they beat yours but
they seem to have put quite a bit of (computer) time into it & looked at
numbers well beyond 4375 so I'd be surprised if they didn't find anything
better.

Sorry to be so vague.

Gerry Myerson (gerry@mpce.mq.edu.au)







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