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Family: nagell-ljunggren — Nagell-Ljunggren equation - #30

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Family: nagell-ljunggren — Nagell-Ljunggren equation#30
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@roed-math roed-math commented Aug 8, 2026

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One family: Nagell-Ljunggren equation (nagell-ljunggren) — P2, open.

  • Standard form: (x^n - 1)/(x - 1) = y^q
  • Parent: exponential-diophantine

Contents: the registry entry and its docs/FAMILIES.md section.

References cited (the claim each one supports):

  • Ljunggren1943 — the classical partial results
  • BugeaudMignotte2002 — survey of the state of the art

Independent of every other family PR: it needs only the registry backbone it is based on.

Part of the series that splits #1 into reviewable pieces:

  1. 01-bibliography — packaging, docs, annotated bibliography
  2. 02-parsing — equation strings to a term model
  3. 03-registry — the YAML family registry (3 seed families)
  4. 04-matchers — shape recognizers
  5. 05-classify — the classification pipeline
  6. 06-solvers — solver framework, two seed solvers, and the CLI
  7. 07..09-backbone — the 23 parent families of the DAG, by depth
  8. one PR per remaining family (38 of them, mutually independent)
  9. 99-polish — restore the full doctests and tighten the invariants

@roed-math roed-math mentioned this pull request Aug 8, 2026
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roed-math force-pushed the family/nagell-ljunggren branch from 2f8da8c to 3259c40 Compare August 8, 2026 15:28
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roed-math force-pushed the split/09-backbone-deep branch from 082df89 to 35fcb63 Compare August 8, 2026 16:12
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roed-math force-pushed the family/nagell-ljunggren branch from 3259c40 to 9d6c13e Compare August 8, 2026 16:12
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roed-math force-pushed the split/09-backbone-deep branch from 35fcb63 to ece9c70 Compare August 9, 2026 02:43
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roed-math force-pushed the family/nagell-ljunggren branch from 9d6c13e to a983324 Compare August 9, 2026 02:43
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from ece9c70 to 6175904 Compare August 9, 2026 05:01
@roed-math
roed-math force-pushed the family/nagell-ljunggren branch from a983324 to 049c0e8 Compare August 9, 2026 05:01
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 6175904 to 529528f Compare August 9, 2026 05:21
@roed-math
roed-math force-pushed the family/nagell-ljunggren branch from 049c0e8 to 7aac73e Compare August 9, 2026 05:21
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roed-math force-pushed the split/09-backbone-deep branch from 529528f to 8c5cfc8 Compare August 9, 2026 08:24
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roed-math force-pushed the family/nagell-ljunggren branch from 7aac73e to 16c0fc9 Compare August 9, 2026 08:24
One family: **Nagell-Ljunggren equation** (`nagell-ljunggren`) — P2, open.

- Standard form: `(x^n - 1)/(x - 1) = y^q`
- Parent: `exponential-diophantine`

Contents: the registry entry and its `docs/FAMILIES.md` section.

References cited (the claim each one supports):

- `Ljunggren1943` — the classical partial results
- `BugeaudMignotte2002` — survey of the state of the art

Independent of every other family PR: it needs only the registry backbone it is based on.

Part of the series that splits #1 into reviewable pieces:

1. `01-bibliography` — packaging, docs, annotated bibliography
2. `02-parsing` — equation strings to a term model
3. `03-registry` — the YAML family registry (3 seed families)
4. `04-matchers` — shape recognizers
5. `05-classify` — the classification pipeline
6. `06-solvers` — solver framework, two seed solvers, and the CLI
7. `07..09-backbone` — the 23 parent families of the DAG, by depth
8. one PR per remaining family (38 of them, mutually independent)
9. `99-polish` — restore the full doctests and tighten the invariants
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 8c5cfc8 to d767c69 Compare August 9, 2026 20:35
@roed-math
roed-math force-pushed the family/nagell-ljunggren branch from 16c0fc9 to 831c0f9 Compare August 9, 2026 20:36
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