Erdős problem 125 · problems.science

Case 3: Does $A + B$ have positive upper and lower density that are equal? This is the literal interpretation of "positive density" which was falsified.

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6 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

125.lean

Retained formal statement5 of 6

Case 1: Does $A + B$ have zero upper and lower density?

FormalConjectures/ErdosProblems/125.leanErdos125.erdos_125.variants.zero_density3 linesExact file

1sorry ↔2  ({x | (Nat.digits 3 x).toFinset ⊆ {0, 1}} + {x | (Nat.digits 4 x).toFinset ⊆ {0, 1}}).upperDensity = 0 ∧3    ({x | (Nat.digits 3 x).toFinset ⊆ {0, 1}} + {x | (Nat.digits 4 x).toFinset ⊆ {0, 1}}).lowerDensity = 0

OpenStatement only, no proof

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