Abdullah b. 'Abbas reported that 'Umar b. Khattab sat on the pulpit of Allah's Messenger (ﷺ) and said: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

This hadith has been narrated on the authority of Zuhri with the same chain of transmitters

Abu Huraira reported that a person from amongst the Muslims came to Allah's Messenger (ﷺ) while he was in the mosque. He called him saying: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

Ibn Shihab (one of the narrators) said:One who had heard Jabir b. 'Abdullah saying this informed me thus: I was one of those who stoned him. We stoned him at the place of prayer (either that of 'Id or a funeral). When the stones hurt him, he ran away. We caught him in the Harra and stoned him (to death)

This hadith has been narrated through another chain of transmitters

This hadith has been narrated on the authority of Abu Huraira through other chains of transmitters