fix: align Dusart lemma_5_10a with 1-indexed prime numbering#1512
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Chessing234 wants to merge 1 commit into
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fix: align Dusart lemma_5_10a with 1-indexed prime numbering#1512Chessing234 wants to merge 1 commit into
Chessing234 wants to merge 1 commit into
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Co-authored-by: Cursor <cursoragent@cursor.com>
This was referenced Jun 9, 2026
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Fixes #1129
Bug
lemma_5_10ausednth_prime' kwith paper indexk ≥ 4, butnth_prime'is 0-indexed. Atk = 4this claims11 ≤ 4 log 11, which is false.Root cause
Dusart's
p_kis 1-indexed; the Lean formalization used the paper index directly as thenth_prime'argument.Why this fix is correct
The
k-th prime in the paper isnth_prime' (k - 1). Fork = 4this givesp_4 = 7and7 ≤ 4 log 7, matching Lemma 5.10.Test plan
lake build PrimeNumberTheoremAnd.IEANTN.DusartMade with Cursor