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.

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
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:26d1c51ebb37be169b56457fa4309f8fd8cc0cf124f94014c2a7d10d97cbf78c
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207
Upstream sourceInspect recordsSource JSON

Search problems.science

Find a Problem, Result, source, or page