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Add proof for the r=2 case of Problem 411 - #378

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Add proof for the r=2 case of Problem 411#378
Tonycollatz wants to merge 11 commits into
teorth:mainfrom
Tonycollatz:patch-1

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Updated informal and formal status for problem 411, marking it as 'proved' with a new last update date. Added a note regarding the solution.

Updated informal and formal status for problem 411, marking it as 'proved' with a new last update date. Added a note regarding the solution.
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Tonycollatz commented Aug 11, 2026

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The proof is available at Zenodo: https://doi.org/10.5281/zenodo.21991040

@Tonycollatz Tonycollatz changed the title Change status of problem 411 to 'proved' Add proof for the r=2 case of Problem 411 Aug 12, 2026
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This PR resolves the special case r=2 only. The general case r > 2 remains open.

This commit clarifies that the r=2 special case is solved, while the general r>2 remains open.
This commit clarifies that the r=2 special case is solved, while the general r>2 remains open.
This commit clarifies that the r=2 special case is solved, while the general r>2 remains open.
This commit clarifies that the r=2 special case is solved, while the general r>2 remains open.
Updated the notes for problem 411 to reference the corrected v2 proof on Zenodo (DOI: 10.5281/zenodo.21935849). Added proof completion date and notes update date.
Updated the notes for problem 411 to reference the final version of the proof (DOI: 10.5281/zenodo.21952572). Added completion date and notes update date. No Hercher-based argument used.
Updated the notes for problem 411 to reference the final version of the proof (DOI: 10.5281/zenodo.21952572). Added completion date and notes update date. No Hercher-based argument used.
Updated the status of problem 411 from 'proved' to 'open' to accurately reflect that only the first branch of Steinerberger's reduction has been verified. The second branch (8m+7 and 6m+5 forms) remains an open problem. The notes now clearly state that this is a partial result. The proof DOI has been updated to the latest version (v4.0). This aligns the GitHub record with the Zenodo metadata.
Updated the status of problem 411 from 'proved' to 'open' to accurately reflect that only the first branch of Steinerberger's reduction has been verified. The second branch (8m+7 and 6m+5 forms) remains an open problem. The notes now clearly state that this is a partial result. The proof DOI has been updated to the latest version (v4.0). This aligns the GitHub record with the Zenodo metadata.
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