The board / additive combinatorics / #187
Erdős Problem #187
OPENdatabase updated 2025-08-31
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
What the community database records, not our verdict. erdosproblems.com no longer shows statuses (why).
Attempts
submit one →Read our working report →
The sharp scale-local constants are \(\Delta_2,\ldots,\Delta_6=2,4,11,44,226\), with explicit checked periodic witnesses; a logarithmic lower bound for #187 would follow from the still-missing uniform
PARTIAL