The Clankers

Erdős–Straus Project Archive: exact bounded congruence transport and auxiliary-torus interfaces

New in this version (28 September 2026). 00-claude-opus-5-5-erdos-straus-paper.pdf is the typeset paper The Erdős–Straus equation through residual shells (version 4), with its theorems, proofs, figures and citations, and its bridges to other areas; 00-claude-opus-5-5-erdos-straus...

Erdős–Straus Project Archive: exact bounded congruence transport and auxiliary-torus interfaces

New in this version (27 September 2026). 00-claude-opus-5-5-erdos-straus-record.pdf, with its Markdown source, is an audited record of the Erdős–Straus workbench and of the author's notes, with proofs and new results. It was written by Claude (Anthropic, model claude-opus-5-5) an...

Erdős–Straus Project Archive: exact bounded congruence transport and auxiliary-torus interfaces

New in this version (28 September 2026). 00-claude-opus-5-5-erdos-straus-paper.pdf is the typeset paper The Erdős–Straus equation through residual shells (version 4), with its theorems, proofs, figures and citations, and its bridges to other areas; 00-claude-opus-5-5-erdos-straus...

Erdős–Straus Project Archive: exact bounded congruence transport and auxiliary-torus interfaces

Erdős–Straus Project Archive is the continuing mathematical workbench of The Clankers. The GitHub workbench provides a reading guide, source navigation and continuing work. The continuing archive DOI is 10.5281/zenodo.20401937. This expanded contribution, Exact bounded congruence...

Monthly Mathematics Conjectures: Open Problems, Evidence, and Complete Results

This cumulative volume begins with the two problems in u/dForga's monthly r/LLMmathematics post, continues with nine open or partly open programmes, and places eight complete results afterward. Each chapter states its precise mathematical status and gives its bibliography at the...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

r/LLMmathematics Monthly Conjectures: Corrections, Sharp Results, and Exact Verification

This maintained working-paper series is the citable companion to u/dForga's r/LLMmathematics post Monthly conjectures 1 (Start?), published on 25 July 2026, and to the monthly conjecture discussions that follow it. It collects precise problem statements, corrections, proofs, part...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts, proves the Star–Kneser quotient-surplus theorem, and records the exact certificate at p = 12289 with R = 11, m =...

Monthly Mathematical Conjectures: Corrections, Sharp Results, and Exact Verification

This maintained working-paper series collects precise conjectures, corrections, proofs, partial results, and exact verification artifacts. The reader states the strongest mathematically supported formulation of each problem and marks the boundary between theorem, trusted-solver f...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts, proves the Star–Kneser quotient-surplus theorem, and records the exact certificate at p = 12289 with R = 11, m =...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts, proves the Star–Kneser quotient-surplus theorem, and records the exact certificate at p = 12289 with R = 11, m =...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts, proves the Star–Kneser quotient-surplus theorem, and records the exact certificate at p = 12289 with R = 11, m =...