### Breaking Fermat (Part 2 of 3)

It turns out Fermat, and Wiles, were actually right. The famous FLT: “ The equation X^N + Y^N = Z^N has no trivial integer solutions for N > 2 ” Indeed it is correct. I’ll talk about how Wiles got the proof right in 1995 (and what kind of proof Fermat may have had) in part 3 of this post. But if that’s the case, how come the equality 7965^32 + 9516^32 = 9517^32 then? Well it doesn’t as my friend Taras correctly observed. This equality only holds for the first 10 digits of the result – that’s why when looking at the results of the left and right parts separately on a hand-pocket calculator, or on Bing or Google, you may be deceived to believe that this result is true because these calculators truncate the results after the 9 th or the 10 th digit. These are the so-called “Fake FLT Numbers” (F-FLT-N). Let’s write a code in C# to find few F-FLT-N. First some principles that we’ll apply: a) We’ll be dealing with massive huge numbers, numbers with up to 300 digits