Prof. Chike Obi, Reviewer F. Beukers's Review Problem

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https://www.math.buffalo.edu/mad/PEEPS/obi_chike.html?utm_source=copilot.com | https://www.math.buffalo.edu/mad/PEEPS/obi-chike-fermat-review.html

The Beukers “review” falls apart the moment you look at it closely, because it doesn’t behave like a real mathematical critique at all. It opens with a casual swipe about Obi’s work being a “naive attempt”, which is already a bad sign since serious reviewers don’t start with attitude before analysis. Then it gestures vaguely at an “error on the bottom of page 292” without quoting the line, without explaining the logic, and without showing how the supposed mistake actually breaks the argument.

That’s not how mathematicians refute anything - that’s how someone avoids doing the work. The complaint about Obi introducing numbers that satisfy a02+b02=c02 is even stranger, because auxiliary triples and unrelated bounding constructions are completely normal in number theory. If the reviewer thinks that’s illegitimate, he should explain why, not just wave it off as irrelevant.

Instead, he jumps straight to a sarcastic throwaway line about how “one could prove any conjecture” using Obi’s technique, which isn’t an argument, it’s just snark. There’s no outline of Obi’s method, no reconstruction of the steps, no counterexample, no contradiction, no demonstration that the approach collapses for general n>2. It’s basically a few sentences of irritation dressed up as a review. And the fact that this flimsy note is the only surviving commentary while Obi’s actual paper - published in a real journal - is nowhere to be found in the digitized archives, even though other papers from the same volume are preserved, makes the whole thing look less like a legitimate refutation and more like a convenient dismissal.

In short, the reviewer doesn’t prove Obi wrong. He doesn’t even try. He just declares it and walks away, which tells you more about the reviewer than about Obi’s mathematics.

Where is Prof. Chike Obi's published direct work, he used to claim a proof to Fermat Last Theorem?
-OneFocus
 
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martinbn said:
Without seeing Chike Obi's attempt we cannot say anything.
After a bit of googling, I find that Obi's paper is:
Fermat's last theorem, Algebras, Groups, and Geometries, 15 (1998), no. 3, pp. 289-298.
This is a rather obscure journal published by Hadronic Press in Florida, but the publisher's website doesn't offer any way that I can see to order a reprint of this article. However, according to WorldCat, there are 173 colleges and universities that carry the journal. Alas, the closest one to me would require a 250 mile round trip drive that I don't feel like making. But perhaps there's a PF member with more convenient access to a school library offering that journal who might be willing to post an image of page 292 of Obi's article?
 
renormalize said:
After a bit of googling, I find that Obi's paper is:
Fermat's last theorem, Algebras, Groups, and Geometries, 15 (1998), no. 3, pp. 289-298.
This is a rather obscure journal published by Hadronic Press in Florida, but the publisher's website doesn't offer any way that I can see to order a reprint of this article. However, according to WorldCat, there are 173 colleges and universities that carry the journal. Alas, the closest one to me would require a 250 mile round trip drive that I don't feel like making. But perhaps there's a PF member with more convenient access to a school library offering that journal who might be willing to post an image of page 292 of Obi's article?
Yes, I saw that. It is the latest paper in the list of the first link in the OP. As you say it is hard to find. So perhaps @OneFocus can post here the relevent pages or the whole paper.