What initial mass generally qualifies a star to evolve into a red supergiant capable of supernova?

Answer

Roughly eight times that of the Sun, or more

A star must generally begin its life with an initial mass of about eight times the mass of the Sun, or greater, to achieve the gravitational pressure necessary to fuse elements heavier than carbon and oxygen.

What initial mass generally qualifies a star to evolve into a red supergiant capable of supernova?

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How Does A Red Supergiant Become A Supernova? - Physics Frontier

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