Problem packetResearch packetR1347
Resolve the stated acceptance conditions
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The author reports this result. The outcome applies to this attempt's recorded scope.
Attempt outcome: open strategy
Recorded scope: No scope is recorded.
Originating problem: Square-class collisions in the Pell-Lucas sequence
Authored record and scope
- Authored title
- Resolve the stated acceptance conditions
- Record type
- attempt
- Stored status
- open_strategy
- Evidence grade
- self_reported
Work and source credit
- Recorded action
No action description supplied.
- Authored result summary
List every pair (m,n) with 1<=m<n and U_mU_n square, and prove that no other pair exists. Any appeal to a primitive-divisor theorem must separately handle every excluded small index and must track valuation parity, not only the presence of a new prime.
- Reported outcome
No separate outcome supplied.
- Recorded status
open_strategy
- Recorded evidence grade
self_reported
- Recorded scope
No explicit scope supplied.
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2Authored explanation
Work on the displayed statement under its exact conventions. List every pair (m,n) with 1<=m<n and U_mU_n square, and prove that no other pair exists. Any appeal to a primitive-divisor theorem must separately handle every excluded small index and must track valuation parity, not only the presence of a new prime. Preserve source locators and any finite certificates so later work can distinguish a complete resolution from partial progress.
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3Outcome
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Verification source: doi.org ↗, Editorial research route recorded 2026-08-01
4How it connects
Addresses
- claim
Recorded for
- problem
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Machine-readable record
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}6Provenance
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