Friends, I just found 2 more today on my birthday. People ask me why I keep searching for more integer solutions to A^4 + B^4 + C^4 = D^4 .
Some mathematicians are satisfied to have a proof that there are an infinite number of solutions, not finite, or zero. Statisticians worry about gaps in the distribution known of solutions.There is a suspicious dearth around 10^10 . As a computer jock, I am interested in the algorithms and the bridges between different mathematical formulations. I found a new way to do brute force searching. I’ve refined the two known elliptic curve methods and found a way to use the duality between them. I am searching for isogenies between the elliptic and hyperelliptic curves, but that problem is cryptographically hard. Yet I see patterns that keep me trying. Assistance from AI is laughable at this level of invention. Coding assistants just suggest ways to patch over bugs rather than uncover root causes. Deeper level suggestions for strategy lead down blind alleys almost all the time. I am sure AI will get better, but for now my experience and persistence are winning. -Roger -- still looking for a job. .- .-.. .-.. / ..-. --- --- - . .-. ... / .- .-. . / .-- .-. --- -. --. / ... --- -- . / .- .-. . / ..- ... . ..-. ..- .-.. 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/
