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Erdős problem 288

Is it true that there are only finitely many pairs of intervals I1I_1, I2I_2 such that n1I11n1+n2I21n2N? \sum_{n_1 \in I_1} \frac{1}{n_1} + \sum_{n_2 \in I_2} \frac{1}{n_2} \in \mathbb{N}?

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Problem row
sha256:5894f314d386cdc13bb4f61474894c749e79d12c47012cbf80577dc59e598ace
Metadata
sha256:1943347a421f0cd96c1e27553f74ad37e6bad7f93c6b560e9425f466a65bd95a
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:1cb5470e8e174ffbafa46f70afaaa0c18152f451535827b236cd1c98b10f94a2
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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