This hadith has been narrated on the authority of Zuhri with the same chain of transmitters.
Sahih Muslim Book 29, Hadith 22
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Verily Allah sent Muhammad (ﷺ) with truth and He sent down the Book upon him, and the verse of stoning was included in what was sent down to him. We recited it, retained it in our memory and understood it. Allah's Messenger (ﷺ) awarded the punishment of stoning to death (to the married adulterer and adulteress) and, after him, we also awarded the punishment of stoning, I am afraid that with the lapse of time, the people (may forget it) and may say: We do not find the punishment of stoning in the Book of Allah, and thus go astray by abandoning this duty prescribed by Allah. Stoning is a duty laid down in Allah's Book for married men and women who commit adultery when proof is established, or it there is pregnancy, or a confession.
Sahih Muslim Book 29, Hadith 21 Next Hadith → Allah's Messenger. I have committed adultery. He (the Holy Prophet) turned away from him, He (again) came round facing him and said to him: Allah's Messenger, I have committed adultery. He (the Holy Prophet) turned away until he did that four times, and as he testified four times against his own self, Allah's Messenger (ﷺ) called him and said: Are you mad? He said: No. He (again) said: Are you married? He said: Yes. Thereupon Allah's Messenger (ﷺ) said: Take him and stone him.
Sahih Muslim Book 29, Hadith 23
Sahih Muslim Book 29, Hadith 21 Next Hadith → Allah's Messenger. I have committed adultery. He (the Holy Prophet) turned away from him, He (again) came round facing him and said to him: Allah's Messenger, I have committed adultery. He (the Holy Prophet) turned away until he did that four times, and as he testified four times against his own self, Allah's Messenger (ﷺ) called him and said: Are you mad? He said: No. He (again) said: Are you married? He said: Yes. Thereupon Allah's Messenger (ﷺ) said: Take him and stone him.
Sahih Muslim Book 29, Hadith 23