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Erdős problem 288

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Is it true that there are only finitely many pairs of intervals I1I_1, I2I_2 such that ∑n1∈I11n1+∑n2∈I21n2∈N? \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
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:1cb5470e8e174ffbafa46f70afaaa0c18152f451535827b236cd1c98b10f94a2
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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