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erdos_244.variants.Romanoff
Specification
Romanoff [Ro34] proved that the answer is yes if $C$ is an integer. [Ro34] Romanoff, N. P., _Über einige Sätze der additiven Zahlentheorie_. Math. Ann. (1934), 668-678.
Lean 4 Statement
theorem erdos_244.variants.Romanoff {C : ℕ} (hC : 1 < C) :
0 < { p + ⌊C ^ k⌋₊ | (p) (k) (_ : p.Prime) }.lowerDensity
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