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Problem 1061

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  1. vf_47024b7899d7c0fb

    theoretical

    Erdős Problem #1061: declared status 'open'. Formalized: yes. How many solutions are there toσ(a)+σ(b)=σ(a+b)\sigma(a)+\sigma(b)=\sigma(a+b)with a+b≤xa+b\leq x, where σ\sigma is the sum of divisors function? Is it ∼cx\sim cx for some constant c>0c>0? Prize: no. OEIS: A110177. Tags: number theory.

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