Prove2Me

lean_workbook_plus_24794

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Consider diophantine equation u2−30v2=1u^2-30v^2=1 : it has infinitely many solutions (for example starting from (11,2)(11,2) and applying (u,v)→(11u+60v,2u+11v)(u,v)\to(11u+60v,2u+11v) )

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_24794 : ∃ u v : ℤ, u^2 - 30 * v^2 = 1   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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