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Problem 979

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  1. vf_bac4189421ca0670

    theoretical

    Erdős Problem #979: declared status 'open'. Formalized: yes. Let k≥2k\geq 2, and let fk(n)f_k(n) count the number of solutions ton=p1k+⋯+pkk,n=p_1^k+\cdots+p_k^k,where the pip_i are prime numbers. Is it true that lim sup⁡fk(n)=∞\limsup f_k(n)=\infty? Prize: no. OEIS: A385316. Tags: number theory.

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