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Erdős problem 324

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

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  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingNothing recorded here
  6. Next gapNot recorded

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:3f5f15f099a6f50bee60388069bc00ff023717062a555a695483f7cb23826852
Metadata
sha256:9e94acf4d82b387da222a1871ca0ffa2b71e1bb9fa300219bfddc3722873e24b
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:27abc0d74f622b591d551c7de93da1b430120424759234976cfb1cefb443ddee
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
Upstream sourceInspect recordsSource JSON