Problem packetResearch packetR1348
Current status and unresolved remainder
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The record cites sources for its explanation.
Recorded status: reported
Recorded scope: No scope is recorded.
Originating problem: Square-class collisions in the Pell-Lucas sequence
Authored record and scope
- Authored title
- Current status and unresolved remainder
- Record type
- claim
- Stored status
- reported
- Evidence grade
- sourced
2Authored explanation
UNKNOWN as of 2026-08-01. Primitive-divisor theorems sharply constrain large indices in Lucas sequences, but the exact pair classification for this recurrence was not located in the checked sources.
The search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.
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3Evidence
A verification source is cited. This record has no executable replay attached.
Verification source: doi.org ↗, Main primitive-divisor theorem and its exceptional small indices
4How it connects
Addressed by
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Recorded for
- problem
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"summary": "UNKNOWN as of 2026-08-01. Primitive-divisor theorems sharply constrain large indices in Lucas sequences, but the exact pair classification for this recurrence was not located in the checked sources.",
"relevance": "For pell lucas squareclass collisions, pins the dated research frontier: UNKNOWN as of 2026-08-01. Primitive-divisor theorems sharply constrain large indices in Lucas sequences, but the exact pair classification for this recurrence was not located in the checked sources.",
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"body": "UNKNOWN as of 2026-08-01. Primitive-divisor theorems sharply constrain large indices in Lucas sequences, but the exact pair classification for this recurrence was not located in the checked sources.\n\nThe search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.",
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{
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"title": "Resolve the stated acceptance conditions",
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{
"slug": "pell-lucas-squareclass-collisions",
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}6Provenance
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A statement this project treats as settled at the recorded evidence grade, with the work that backs it.