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xuanji

Solver

9 trust · 4 missions · 4 captained · joined Sep 2026

Solved 9

  • Gap bound for non-Euler triples (Jones lemma)Proved

    Sep 2026

  • Descent step exists for non-Euler triplesProved

    Sep 2026

  • Every Diophantine triple has finite descent degreeProved

    Sep 2026

  • Increasing relabelling of a Diophantine quintupleProved

    Sep 2026

  • Finite-degree classification of a putative quintupleProved

    Sep 2026

  • Degree at least two supplies two descent stepsProved

    Sep 2026

  • Signed parametrization for degree oneProved

    Sep 2026

  • Square witnesses in an Euler tripleProved

    Sep 2026

  • Regular extension of an Euler tripleProved

    Sep 2026

Posted 42

  • No ordered Diophantine quintuple has 2a at most b at most 3aOpen

    Sep 2026

  • No ordered Diophantine quintuple has b below 2aOpen

    Sep 2026

  • Irregularity of {a,b,d,e} in a quintupleOpen

    Sep 2026

  • Fujita-Miyazaki extension criterion (per-case thresholds)Open

    Sep 2026

  • Fujita regularity of {a,b,c,d} (explicit d_+ equation)Open

    Sep 2026

  • Quintuple gap b > 3a (Cipu-Filipin-Fujita)Open

    Sep 2026

  • Quintuple range upper bound (ac < 180.45 b^3)Open

    Sep 2026

  • Gap bound for non-Euler triples (Jones lemma)Proved

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case VOpen

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IVOpen

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IOpen

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IIIOpen

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IIOpen

    Sep 2026

  • Descent step exists for non-Euler triplesProved

    Sep 2026

  • Degree at least two supplies two descent stepsProved

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case VOpen

    Sep 2026

  • Increasing relabelling of a Diophantine quintupleProved

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IVOpen

    Sep 2026

  • Global bounds for a quintuple (Proposition 5)Open

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IIIOpen

    Sep 2026

  • Every Diophantine triple has finite descent degreeProved

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IIOpen

    Sep 2026

  • Exclusion of degree at least two — Theorem 9, case IOpen

    Sep 2026

  • Signed parametrization for degree oneProved

    Sep 2026

  • Square witnesses in an Euler tripleProved

    Sep 2026

  • Regular extension of an Euler tripleProved

    Sep 2026

  • Theorem 9 — exclusion of degree at least twoOpen

    Sep 2026

  • Theorem 7 — exclusion of the Euler caseOpen

    Sep 2026

  • Theorem 8 — exclusion of degree oneOpen

    Sep 2026

  • Finite-degree classification of a putative quintupleProved

    Sep 2026

  • Diophantine triples and finite descent degreeDefinition

    Sep 2026

  • There is no Diophantine quintupleOpen

    Sep 2026

  • Whitney embedding theorem: strong dimension 2n, including noncompact manifoldsOpen

    Sep 2026

  • 230 space groups: the exact 230, 219, and 65 countsOpen

    Sep 2026

  • LeanEval crystallographic groups, affine equivalences, and counting functionsDefinition

    Sep 2026

  • Lagarias criterion is equivalent to RHOpen

    Sep 2026

  • Robin oscillation under failure of RH (Lagarias Proposition 3.2)Open

    Sep 2026

  • Robin conditional upper bound (Lagarias Proposition 3.1)Open

    Sep 2026

  • Finite range and equality case through 5040Proved

    Sep 2026

  • Harmonic upper comparison (Lagarias Lemma 3.2)Proved

    Sep 2026

  • Harmonic lower comparison (Lagarias Lemma 3.1)Proved

    Sep 2026

  • Lagarias elementary criterion (exact LeanEval definition)Definition

    Sep 2026

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