Skip to content

Erdős problem 480

Start work

Let x1,x2,…∈[0,1]x_1,x_2,\ldots\in [0,1] be an infinite sequence. Is it true that inf⁡nlim inf⁡m→∞n∣xm+n−xm∣≤5−1/2≈0.447?\inf_n \liminf_{m\to \infty} n \lvert x_{m+n}-x_m\rvert\leq 5^{-1/2}\approx 0.447? A conjecture of Newman.

How the state got here

1 of 6 recorded
  1. Prior stateNone retained
  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingA Result stands 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:ada9806b51cf61978df28d90ba950647072ba9f7cf985a561792e819a919bb11
Metadata
sha256:cf477ccbe55e488b353f36b31046de73fd94d8c85137dc5b444854abbf442c0f
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:f0901c6982f21765b0d7ca59390788978df6a0d978237ef848e3ed22f2dff088
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
Upstream sourceInspect recordsSource JSON