A Study of Kummer's Proof of Fermat's Last Theorem for Regular Primes

TL;DR

This paper examines Kummer's method for proving Fermat's Last Theorem specifically for regular primes, highlighting algebraic prerequisites and the role of the Class number formula in the proof.

Contribution

It provides a detailed analysis of Kummer's approach and the algebraic tools used, especially focusing on regular primes and class number theory.

Findings

Kummer's proof is valid for regular primes.

The Class number formula is crucial in understanding the proof.

Regular primes are key to the theorem's proof in this context.

Abstract

We study Kummer's approach towards proving the Fermat's last Theorem for regular primes. Some basic algebraic prerequisites are also discussed in this report, and also a brief history of the problem is mentioned. We review among other things the Class number formula, and use this formula to conclude our study.