Skip to content

Erdős problem 532

If N\mathbb{N} is 2-coloured then is there some infinite set A⊆NA\subseteq \mathbb{N} such that all finite subset sums∑n∈Sn \sum_{n\in S}n(as SS ranges over all non-empty finite subsets of AA) are monochromatic?

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:fa4a36f6af37ded9b2b21002498a2bbc9539adcaed76b70a9083d76c7f2716ee
Metadata
sha256:90d03fc9c75a1bfb53998b22a4cedca8a105e6e82728e619b99ee40164ca8b32
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:115b01a3792f32e4a36379e3a98a9bb21dfc12f8f52be0d292b8fd9081f81736
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb