Is Hadwiger's conjecture true?

Is Haborth's Conjecture true?

Is Dickson's conjecture true?

Is the Birch and Swinnerton-Dyer conjecture true?

Is the Hadamard conjecture true?

Is the Jacobian conjecture true?

Is Legendre's conjecture correct?

Is the second Hardy-Littlewood conjecture true?

Is the first Hardy-Littlewood conjecture true?

Is Rudin's conjecture true?