Erdős problem 299 · problems.science

Is there an infinite sequence $a_1 < a_2 < \dots$ such that $a_{i+1} - a_i = O(1)$ and no finite sum of $\frac{1}{a_i}$ is equal to 1?

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:0bbae70bbbf53ad004527583bc4e2579acf96b5a81cd6fb311535469c222c219
Metadata: sha256:6073dcdda24ac607aecbe9b053d8e24f6f392855f5dc0bd7cd72473789f2ed77
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:434be67731e8b96a03dd53a900a6e1d94e3a800538266a0a28d17968dd2a6867

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207