Impressive work Roger! On another note: I emailed you directly regarding your request for challenging programming work.
On Fri, Feb 6, 2026, 9:37 PM Roger Frye <[email protected]> wrote: > In 1988, Noam Elkies at Harvard and I collaborated on finding > counter-examples to Euler’s 1769 conjecture about sums of 4th powers. He > proved that there are an infinite number of counter-examples, and I used > all of the Connection Machines at Thinking Machines to find the smallest. > > Since then, other researchers have used variations of my brute force > technique and Elkies’ Elliptic Curve technique to extend the number of > known solutions. As of yesterday, there were 93 solutions less than 1e27. > Today I found 4 more with a newer Elliptic Curve technique. > > I published my result as a comment at Math StackExchange: > https://math.stackexchange.com/questions/4857229/on-why-solutions-to-x4y4z4-1-come-in-pairs/5123321 > . > > The code I used is in my GitHub repository: https://github.com/rfryeSigma > . > > -Roger > p.s. I am looking for programming work. I specialize in Machine Learning > and physics simulations, but I would be interested in anything challenging. > .- .-.. .-.. / ..-. --- --- - . .-. ... / .- .-. . / .-- .-. --- -. --. / > ... --- -- . / .- .-. . / ..- ... . ..-. ..- .-.. > FRIAM Applied Complexity Group listserv > Fridays 9a-12p Friday St. Johns Cafe / Thursdays 9a-12p Zoom > https://bit.ly/virtualfriam > to (un)subscribe http://redfish.com/mailman/listinfo/friam_redfish.com > FRIAM-COMIC http://friam-comic.blogspot.com/ > archives: 5/2017 thru present > https://redfish.com/pipermail/friam_redfish.com/ > 1/2003 thru 6/2021 http://friam.383.s1.nabble.com/ >
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