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Fix four informal statements that differ from the problem (2021_b4, 2013_a3, 2014_b4, 1983_b6) - #371

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AaronY77 wants to merge 5 commits into
trishullab:mainfrom
AaronY77:patch-4

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@AaronY77

@AaronY77 AaronY77 commented Oct 13, 2026 •

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Fixes #367.

Updates informal/putnam.json and the Lean docstrings to match the original problems and the existing formal statements (no formal statement changes):

  • 2021_b4: product upper limit F_{m-1} → F_m - 1 (the old text is false at m = 7)
  • 2013_a3: denominators (1-x)^{k+1} → 1-x^{k+1} (the old text is false for n = 1)
  • 2014_b4: 2^k(n-k) → 2^{k(n-k)} (the old text is false for n = 3)
  • 1983_b6: (2n + 1)th → (2^n + 1)th root of unity

The docstring had F_{m-1}, which makes the informal statement false (trishullab#367).
The docstring had (1-x)^{k+1}, which makes the informal statement false (trishullab#367).
The docstring had 2^k(n-k), which makes the informal statement false (trishullab#367).
The docstring had (2n + 1); the problem and the formal statement use 2^n + 1 (trishullab#367).
…14_b4, 1983_b6

Same corrections as the Lean docstrings (trishullab#367).

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Informal statements that state a different problem (3 are false as written): 2021_b4, 2013_a3, 2014_b4, 1983_b6

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