Kirti-Mochizuki proof of the ABC conjecture is correct.

Is Hadwiger's conjecture true?

Is Beal's conjecture true?

Is the Unique Games Conjecture true?

Is Szymanski's conjecture true?

Does Shinichi Mochizuki's proof of the abc conjecture include unfixable gaps?

Is Haborth's Conjecture true?

Is Goodman's Conjecture true?

Is the 1/3–2/3 conjecture true?

Conditional on Goldbach's conjecture being false, is Oldbach's conjecture true?