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Problem 445

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  1. vf_1c0dbc097e8c3bdd

    theoretical

    Erdős Problem #445: declared status 'open'. Formalized: yes. Is it true that, for any c>1/2c>1/2, if pp is a sufficiently large prime then, for any n≥0n\geq 0, there exist a,b∈(n,n+pc)a,b\in(n,n+p^c) such that ab≡1(modp)ab\equiv 1\pmod{p}? Prize: no. Tags: number theory.

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