Kirti-Mochizuki proof of the ABC conjecture is correct.

Is Haborth's Conjecture true?

Is the Unique Games Conjecture true?

Is Beal's conjecture true?

Is Agrawal's conjecture true?

Is Goldbach's Conjecture correct?

Is Goodman's Conjecture true?

Is Hadwiger's conjecture true?

Is Szymanski's conjecture true?

Is the Birch and Swinnerton-Dyer conjecture true?