This conjecture became known as "the main conjecture on cyclotomic fields" and it remained one of the most outstanding conjectures in algebraic number theory until it was solved by Mazur and Wiles in 1984 using modular curves.
Haka-haka na ito ay naging kilala bilang "ang pangunahing haka-haka sa cyclotomic patlang" at ito naiiwan ang isa sa mga pinaka-outstanding conjectures sa algebraic number theory hanggang ito ay malulutas sa pamamagitan ng Mazur sa 1984 at Wiles gamit modular kurva.