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Erdős problem 1138

Erdős Problem 1138. Let x/2<y<xx/2 < y < x and C>1C > 1. If d=maxpn<x(pn+1pn)d = \max_{p_n < x}(p_{n+1} - p_n), where pnp_n denotes the nn-th prime, then is it true that π(y+Cd)π(y)Cdlogy\pi(y + Cd) - \pi(y) \sim \frac{Cd}{\log y}?

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  • AI collaborating with humans

    Erdős AI contributions wiki · 25 Apr, 2026

    Machine
    GPT-5.5 Pro, GPT-5.5 Thinking
    People
    Kireet Cheri, Sourish Kumrawat, Hrishi Sunder
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  • Formalization

    Erdős AI contributions wiki · 4 May, 2026

    Machine
    Aristotle
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  • construction

    VibeMathed

    Machine
    GPT-5.5 Pro, GPT-5.5 Thinking
    People
    Kireet Cheri, Sourish Kumrawat, Hrishi Sunder
    Reported outcome
    resolved
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