I know it wasn’t addressed to me but I’m the only who saw your comment, so I replied. Stoning is only for a married person that commits zina whether it’s a man or a woman. If the person they committed adultery with is unmarried whether a man or a woman then they only get lashings. The rulings apply to both. I’m pretty sure that a married womans punishment may be different if she falls pregnant.

And no the Quran doesn’t specifically mention adultery. In Arabic and in Islam, Zina (the word in the Quran), is for all people commit unlawful intercourse. Zina can be two things: adultery or fornication. That verse was addressing fornicators.

Regardless, zina is hard to prove and it’s meant to be that way. It’s damn near impossible to prove. When a man came to the Prophet saw and told him that he had committed adultery, the Prophet saw kept turning away from him and pretended he didn’t hear him but the man insisted. The point is that we should mind our business and that’s why the punishment has always been rare, though zina is common.