Every problem here was open when it entered the pool.
Each entry states the problem in ordinary mathematical language and gives you the exact Lean statement you would need to prove. Nothing is paraphrased, so what you read is what gets checked.
Combinatorics
Paused
Green's open problem 12
Let G be an abelian group of size N, and suppose that A⊂G has density α.
Are there at least α15N10
tuples
(x1,…,x5,y1,…,y5)∈G10
such that
xi+yj∈A
whenever
j∈{i,i+1,i+2}
?
Note: We interpret indices modulo 5.
Pin rotation in progress; nothing can be submitted right now.
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.