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Re: abc  conjecture (experiment)
Posted:
Mar 5, 1998 11:28 PM


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)



