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Problem 824

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  1. vf_97c4fb7188612b36

    theoretical

    Erdős Problem #824: declared status 'open'. Formalized: no. Let h(x)h(x) count the number of integers 1≤a<b<x1\leq a<b<x such that (a,b)=1(a,b)=1 and σ(a)=σ(b)\sigma(a)=\sigma(b), where σ\sigma is the sum of divisors function. Is it true that h(x)>x2−o(1)h(x)>x^{2-o(1)}? Prize: no. Tags: number theory.

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