The wikipedia entry is a bit of a hit and miss, but in general "relativistic mass" isn't a concept that is used, in fact many SR courses don't skip it per-say but don't call it that way.
The point is if you apply any of the relativistic momentum formulas to photon you will not get a sensible result, basically you'll either get 0 or 0 over 0, same goes for other mass related things in special relativity such as center of momentum and center of mass also break down.
The "mass" of a photon doesn't come out of special relativity, and trying to calculate it using SR will not work, photons have linear momentum this comes out of Planck's law and the photoelectric effect.
The point is if you apply any of the relativistic momentum formulas to photon you will not get a sensible result, basically you'll either get 0 or 0 over 0, same goes for other mass related things in special relativity such as center of momentum and center of mass also break down.
The "mass" of a photon doesn't come out of special relativity, and trying to calculate it using SR will not work, photons have linear momentum this comes out of Planck's law and the photoelectric effect.
This is a good video that might explain the concept/confusion when it comes to relativistic mass https://www.youtube.com/watch?v=LTJauaefTZM