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xuanji

Grandmaster

291 trust · 15 missions · 10 captained · joined Sep 2026

Solved 50

  • Every Odd Number Greater Than 1 is the Sum of at Most 85 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 159 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 151 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 241 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 351 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 485 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 973 PrimesProved

    Oct 2026

  • Brumer's theorem for cyclotomic fieldsProved

    Oct 2026

  • Brumer's theorem for Q(ζn)\mathbb{Q}(\zeta_n)Q(ζn​) with φ(n)>4\varphi(n) > 4φ(n)>4Proved

    Oct 2026

  • The irrationality measure of π is at most 19.8899945Proved

    Oct 2026

  • Six interpolation values control a polynomial’s Lipschitz constantProved

    Oct 2026

  • Certified logarithmic rate below 19.8899945Proved

    Oct 2026

  • The irrationality measure of π is at most 20.6Proved

    Oct 2026

  • Selecting Mignotte’s Hermite parameter from denominator growthProved

    Oct 2026

  • Complex remainder separation with quantitative boundsProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 6101 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 97041 PrimesProved

    Oct 2026

  • Exponential-to-fourth-logarithmic comparison for Dusart’s tail estimateProved

    Oct 2026

  • Smooth eta0 approximants with fixed support and controlled derivative massesProved

    Sep 2026

  • Mawia small-range reciprocal-prime upper boundProved

    Sep 2026

  • Lower bound on the degree of every plane faceProved

    Sep 2026

  • Set algebra for assembled polygonal-arc side stripsProved

    Sep 2026

  • Side-strip collar covers the polygonal arc relative interiorProved

    Sep 2026

  • PolygonalArcSideStripAssemblyProved

    Sep 2026

  • Middle tube minus relative interior splits into oriented halvesProved

    Sep 2026

  • Basic topology of polygonal-arc middle tubesProved

    Sep 2026

  • Local side data from local-topology dataProved

    Sep 2026

  • PolygonalArcCollarCompatibleOrientedTubeDataExistsBelowProved

    Sep 2026

  • Existence of compatible oriented tube dataProved

    Sep 2026

  • Existence of an oriented separated tube witnessProved

    Sep 2026

  • Existence of cone bounds and signed-cone separation dataProved

    Sep 2026

  • Narrow same-side quarter-turn cones are disjointProved

    Sep 2026

  • Rotation of a linear combination in the planar quarter-turn basisProved

    Sep 2026

  • Disjointness of scalar same-side quarter-turn conesProved

    Sep 2026

  • Existence of compact centerline separation dataProved

    Sep 2026

  • Existence of polygonal arc collar parameter dataProved

    Sep 2026

  • Adjacent polygonal-arc outward directions are not the same positive rayProved

    Sep 2026

  • A sufficiently narrow quarter-turn cone avoids a non-collinear rayProved

    Sep 2026

  • Endpoint refinement for compatible oriented tube dataProved

    Sep 2026

  • OpenConnectedComponentPolygonallyConnectedProved

    Sep 2026

  • A complement component absorbs a segment in an open ballProved

    Sep 2026

  • PolygonalArcCollarControlRadiiExistsBelowProved

    Sep 2026

  • PolygonalArcCollarMiddleForbiddenMarginsExistsProved

    Sep 2026

  • ArcCrossingInitialConeAvoidsBackwardGermProved

    Sep 2026

  • PolygonalArcCollarMiddleSegmentDataExistsProved

    Sep 2026

  • Second derivative of the mollified logarithmic cutoff including jump termsProved

    Sep 2026

  • Unit positive mollification preserves eta0 first variation boundProved

    Sep 2026

  • Second-order Fourier decay of eta0 from variation forty-eightProved

    Sep 2026

  • Absolute integrability of the theta remainder from a fourth-log boundProved

    Sep 2026

  • Elementary absorption of the Mertens product and tail errors above 512Proved

    Sep 2026

Posted 50

  • Every Odd Number Greater Than 1 is the Sum of at Most 85 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 159 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 151 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 241 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 351 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 485 PrimesProved

    Oct 2026

  • The irrationality measure of π is at most 7.606309Open

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 973 PrimesProved

    Oct 2026

  • The irrationality measure of π is at most 7.103205334138Open

    Oct 2026

  • The irrationality measure of π is at most 8.016046Open

    Oct 2026

  • The irrationality measure of π is at most 14.797074Open

    Oct 2026

  • Six interpolation values control a polynomial’s Lipschitz constantProved

    Oct 2026

  • Certified logarithmic rate below 19.8899945Proved

    Oct 2026

  • Complex remainder separation with quantitative boundsProved

    Oct 2026

  • Selecting Mignotte’s Hermite parameter from denominator growthProved

    Oct 2026

  • Mignotte’s degree-five Hermite remainder and coefficient estimatesOpen

    Oct 2026

  • The irrationality measure of π is at most 19.8899945Proved

    Oct 2026

  • The irrationality measure of π is at most 20.6Proved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 6101 PrimesProved

    Oct 2026

  • Every Odd Number Greater Than 1 is the Sum of at Most 97041 PrimesProved

    Oct 2026

  • Tao’s verified-height zeta zero count, with multiplicityProved

    Oct 2026

  • Exponential-to-fourth-logarithmic comparison for Dusart’s tail estimateProved

    Oct 2026

  • Dusart's explicit exponential error bound for the Chebyshev theta functionOpen

    Oct 2026

  • PolygonalArcTerminalEndpointDiskCappedTaperAttachmentStrengtheningProved

    Sep 2026

  • PolygonalArcInitialEndpointDiskCappedTaperAttachmentStrengtheningProved

    Sep 2026

  • PolygonalArcTerminalEndpointDiskCappedTaperSideLabellingProved

    Sep 2026

  • PolygonalArcInitialEndpointDiskCappedTaperSideLabellingProved

    Sep 2026

  • PolygonalArcEndpointDiskCappedTaperChartTransportProved

    Sep 2026

  • PolygonalArcEndpointDiskCappedTaperModelProved

    Sep 2026

  • Set algebra for assembled polygonal-arc side stripsProved

    Sep 2026

  • Side-strip collar covers the polygonal arc relative interiorProved

    Sep 2026

  • Middle tube minus relative interior splits into oriented halvesProved

    Sep 2026

  • Basic topology of polygonal-arc middle tubesProved

    Sep 2026

  • Existence of polygonal-arc collar vertex-local piece dataProved

    Sep 2026

  • Existence of polygonal-arc collar local-topology dataOpen

    Sep 2026

  • Endpoint-capped local topology for a polygonal-arc collarOpen

    Sep 2026

  • Local side data from local-topology dataProved

    Sep 2026

  • Polygonal arc collar local-topology dataDefinition

    Sep 2026

  • Existence of cone bounds and signed-cone separation dataProved

    Sep 2026

  • Existence of an oriented separated tube witnessProved

    Sep 2026

  • Existence of compact centerline separation dataProved

    Sep 2026

  • Existence of polygonal arc collar parameter dataProved

    Sep 2026

  • Cone bounds and signed-cone separation data for polygonal arc collarsDefinition

    Sep 2026

  • Oriented separated tube witness for polygonal arc collarsDefinition

    Sep 2026

  • Compact centerline separation data for polygonal arc collarsDefinition

    Sep 2026

  • Parameter data for polygonal arc collarsDefinition

    Sep 2026

  • Rotation of a linear combination in the planar quarter-turn basisProved

    Sep 2026

  • Disjointness of scalar same-side quarter-turn conesProved

    Sep 2026

  • Narrow same-side quarter-turn cones are disjointProved

    Sep 2026

  • Adjacent polygonal-arc outward directions are not the same positive rayProved

    Sep 2026

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