Erdős Problem #984 — A two-colouring with only subpolynomial monochromatic progressions

About 46 years old · traced to

Can the positive integers be coloured with two colours so that, for every ε>0ε>0, every monochromatic arithmetic progression with first term aa has length Oε(aε)O_ε(a^ε)?

References

Additional references

P. Erdős, A survey of problems in combinatorial number theory, Annals of Discrete Mathematics 6 (1980), 89–115.

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