Erdős Problem #1101
Prior state unknown→proved
a subexponential good sequence is constructed; the polynomial-growth question remains open
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number-theory / Sieve Theory
Erdős Problem #1101
Does there exist a good pairwise-coprime sequence $u_n$ with $\sum 1/u_n < \infty$ and polynomial growth? What if one only requires $u_n \le e^{o(n)}$?
10Significance / 100
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Does there exist a good pairwise-coprime sequence $u_n$ with $\sum 1/u_n < \infty$ and polynomial growth? What if one only requires $u_n \le e^{o(n)}$?
a subexponential good sequence is constructed; the polynomial-growth question remains open
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