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Erdős problem 1102

There exists an infinite sequence A=a1<a2<SFA = {a₁ < a₂ < …} ⊂ \mathsf{SF} where SF:=Npp2N\mathsf{SF} := \mathbb{N} \setminus \bigcup_{p} p^{2}\mathbb{N}, i.e. the set of squarefree numbers. The set A has property Q and natural density 6 / π^2. Equivalently, (j / a_j) → 6/π^2 as j → ∞. -

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sha256:4b2124409891c4f8078ed5ea2fe33ba29f4a51a8b242a8bf5ed59adafb297105
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sha256:b984820bba3970f84e3e70a501d608a9d88541270604c894491cecb1722ddf1a
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
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sha256:708fe7717297951f15eef44bb3d19d670d0cf0964763e8547e147cc0e7caf9eb
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
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2415f78e850aeee50afdca525c6f2e0ea606f207

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