Erdős problem 324 · problems.science

Does there exist a polynomial $f(x)\in\mathbb{Z}[x]$ such that all the sums $f(a)+f(b)$ with $a < b$ nonnegative integers are distinct?

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:3f5f15f099a6f50bee60388069bc00ff023717062a555a695483f7cb23826852
Metadata: sha256:9e94acf4d82b387da222a1871ca0ffa2b71e1bb9fa300219bfddc3722873e24b
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:27abc0d74f622b591d551c7de93da1b430120424759234976cfb1cefb443ddee

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