Skip to content

Erdős problem 267

If n1<n2<⋯n_1 < n_2 < \cdots with nk+1/nk≥c>1n_{k+1}/n_k \ge c > 1, must ∑k1/Fnk\sum_k 1/F_{n_k} be irrational? The proposed proof closes the range 1<c<21 < c < 2 left open by earlier criteria.

How the state got here

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

Result history

Published changes, performers, checks, and later corrections.

No result history yet
No proposed change is retained for this Problem, so there is nothing to show a decision on.

Correction history

No correction history

Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:806b464b01e7b57a832725fcc09bb58038fe47c8de709d54c819572a099a9ba9
Metadata
sha256:d929e8a80cfc3a5b3611bdb7c0a69af7ab273b081df207914f42de1f2a15b21f
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:26d1c51ebb37be169b56457fa4309f8fd8cc0cf124f94014c2a7d10d97cbf78c
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb