Fermat's Last Theorem

Today's blog continues the details that are used by Ernst Kummer in his theory of ideal numbers . He then uses ideal numbers in his pr...

Unique factorization fails for cyclotomic integers starting with λ = 23 where λ represent the primitive root of unity that a given cycloto...

Ernst Kummer wrote a very influential paper which demonstrated that unique factorization failed for certain cyclotomic integers includin...

Today's blog is on the proof first presented by Ernst Kummer for regular primes. Before Andrew Wiles, this was the highpoint of the wor...

I am still working through the background to Kummer's proof so I don't yet have any mathematics to post. In the mean time, I was bro...

There was recently an article in Science News on the mathematics of the Simpson's. One of the throw away jokes is 1782 12 + 1841 12 ...

I must admit that I have a fascination with false proofs. Perhaps, that is why I am so interested in Fermat's Last Theorem. Because of ...

Hi Everyone, In the past, I've been posting my notes on proofs to this blog. I think that this has made this blog much more difficult to...

In today's blog, I continue to review results from Harold Edward's Fermat's Last Theorem: A Genetic Introduction to Algebraic Nu...