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Erdős problem 453

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Is it true that, for all sufficiently large nn, there exists some i<ni<n such that pn2<pn+ipn−i, p_n^2 < p_{n+i}p_{n-i}, where pkp_k is the kkth prime?

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  4. DecisionNo Repository has decided
  5. StandingA Result stands here
  6. Next gapNot recorded

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:a5aadfc5fe5346d7776645b86b9ff9e3d6cb4190eb5f78b609ae0be263bf40a8
Metadata
sha256:ca75c7b341316a961427cfd524b9dcce4e917a1a5dde4487d914c5b81453b18c
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:6a7c414a70dbaf5a6a0c419d91249c81117f8e941d035f0c3bde397301cb3688
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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