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Phase 15 + Errata · The P₂ literature correction
Legendre's Conjecture: The Base-Space Prime-Fitting Program
Phase 15 + Errata · The P₂ literature correction
Author line in the source: Neo.K × AI collaboration (no AI named)
Square-Anchor Type-I / Type-II Information Audit and the P₂ Literature Correction (with the Errata for Phases 12–14)
Issues the Errata: ordinary P₂ in every sufficiently large square cell follows from classical short-interval results (Iwaniec–Laborde x^0.45; Wu 101/232); then audits Type-I/II information: the van der Corput cube-root transition D = X^{1/3}, the harmonic budget D³/X, no square-numerator bonus, balanced Type-II at θ = 1/2 'collapses'; cube-root-rough P₂ does not follow from generic P₂.
Retracts the P₂ frontier statement of Phases 12–14: 'the unconditional every-square frontier is P₃ and P₂ is not known' is 'incorrect'; the cube-root-rough set S₃ remains a stronger statement; the genuinely open target is 'prime occupancy / parity closure'.
The correction covers Phases 12–14 only; Phase 6 and Phase 11 carry the same frontier framing without annotation. The external citations (Iwaniec–Laborde, Wu 101/232) were not verified. The Errata itself carries no author line.
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This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.