Claims

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2026_04_18_ho: Boon Suan Ho's note of 18 April 2026, found with GPT-5.4 Pro: every shift preserving squarefreeness on [1, N] is divisible by the product of p^2 over p <= N^c, so t_N > exp(N^c) for c < 25/72 and large N.

2026_07_27_price: Liam Price's July 2026 claim, using GPT 5.6 Sol Pro: for every alpha the primes split into parts of densities alpha and 1 - alpha with the integers built from the first part having the translation property; second question.

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