Simerka - Quadratic Forms and Factorization
Number Theory
2012-01-04 v1 History and Overview
Abstract
In this article we show that the Czech mathematician Vaclav Simerka discovered the factorization of (10^17-1)/9 using a method based on the class group of binary quadratic forms more than 120 years before Shanks and Schnorr developed similar algorithms. Simerka also gave the first examples of what later became known as Carmichael numbers.
Cite
@article{arxiv.1201.0282,
title = {Simerka - Quadratic Forms and Factorization},
author = {Franz Lemmermeyer},
journal= {arXiv preprint arXiv:1201.0282},
year = {2012}
}