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A formal proof of the Ramanujan--Nagell theorem in Lean 4
arXiv:2604.09808v2 Announce Type: replace-cross Abstract: We present a complete formalization, in the Lean interactive theorem prover with the Mathlib library, of the Ramanujan--Nagell theorem: the only integer solutions to the Diophantine equation $x^2 + 7 = 2^n$ are $(n,x) \in \{(3,\pm1),(4,\pm3),(5,\pm5),(7,\pm11),(15,\pm181)\}$. The formalization includes all dependencies, notably the computation of the ring of integers of the quadratic field $\mathbb{Q}(\sqrt{-7})$, its class number,...
Study reveals deception and confusion in bankruptcy filings
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Arizona city installs new speed cameras, then sees 30,000 traffic violations in 2 months - that’s one every 3 minutes
Arizona city installs new speed cameras, then sees 30,000 traffic violations in 2 months - that’s one every 3 minutes Arizona’s pedestrian fatality rate is among the highest in the nation - Bookmark - CommentsGo to comments Drivers in one Arizona city are racking up a stunning number of speeding violations — about one every three minutes — due to the use of new technology that’s rolling out nationwide. Officials installed a series of speed-monitoring cameras throughout Phoenix in late...