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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.
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Problem 197
Statement. Can be partitioned into two sets, each of which can be permuted to avoid monotone 3-term arithmetic progressions?
Status. Open.
Source. erdosproblems.com/197, accessed 2026-09-04. Cite as: T. F. Bloom, Erdős Problem #197, https://www.erdosproblems.com/197.
Formalization. Statement in formal-conjectures.
Progress
Not yet compiled.
Known Results
Not yet compiled.
Linked library material
These entries are derived from explicit links on library pages. They are navigation only and do not by themselves record mathematical progress.
- adenwalla_2022_avoiding_monotone_arithmetic_progressions_permutations_integers
- adenwalla_2023_generalisation_result_monotone_arithmetic_progressions_permutations
- erdos_1979_old_new_problems_results_combinatorial_number
- geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integers
- geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integers / proposition_11
Linked from (6)
Sumsets and Arithmetic Progressionsadditive_combinatorics/adenwalla_2022_avoiding_monotone_arithmetic_progressions_permutations_integersadditive_combinatorics/adenwalla_2023_generalisation_result_monotone_arithmetic_progressions_permutationsadditive_combinatorics/erdos_1979_old_new_problems_results_combinatorial_numberadditive_combinatorics/geneson_2019_forbidden_arithmetic_progressions_permutations_subsets_integersProposition 11: for odd r, s, sets of positive integers of lower density rs/(r+s)^2 and upper density s/(r+s) avoid (r,s) 3-progressions
Graph