Constructing Carmichael numbers through improved subset-product algorithms

A pre-print of "Constructing Carmichael numbers through improved subset-product algorithms" is now available at the math arXiv. The paper contains research Red Alford and I did. It also contains research by our co-authors, Steven Hayman and Andrew Shallue, who have some impressive constructions and interesting algorithms. I hope to modify the code they wrote to expand the computations of Carmichael numbers with exactly k factors, which was done on a computer that is now outdated.