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Erdős problem 69

Is n2ω(n)2n \sum_{n\geq 2}\frac{\omega(n)}{2^n} irrational? (Here ω(n)\omega(n) counts the number of distinct prime divisors of nn.)

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Problem row
sha256:47631a7ecb8430dd73807b29c5cb6f0acfc64e2824958127f762a50683feb3a8
Metadata
sha256:756f18187878829ea2c9e04a277a430c499bdb882b51afea1e5cac560afe7488
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:6f179057b8feb9cf68df0c5addfee4f628c20d5b2e9af540ded794a4bdbe09de
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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