This hadith has been transmitted on the authority of Abu Musa al-Ash'ari with a slight variation of wording.
Sahih Muslim Book 44, Hadith 43
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Open it for him and give him glad tidings of Paradise and, lo, it was Abu Bakr. I opened (the gate) for him and gave him the glad tidings of Paradise. Then another person asked for the door to be opened, whereupon he said: Open it and give him the glad tidings of Piradise. He said: I went away and, lo, it was 'Umar. I opened it for him and gave him the glad tidings of Paradise. Then still another man asked for the door to be opened, and thereupon Allah's Apostle (ﷺ) said: Open it and give him the glad tidings of Paradise after a trial would afflict him. I went and, lo, it was 'Uthman b. 'Affan. 1 opened the door and gave him the glad tidings of Paradise and informed him (what the Prophet had said). Thereupon he said: O Allah, grant me steadfastness. Allah is one Whose help is to be sought.
Sahih Muslim Book 44, Hadith 42 Next Hadith → I would remain with Allah's Messenger (ﷺ) the whole day long. He came to the mosque, and asked about Allah's Apostle (ﷺ). They (his Companions) said: He has gone in this direction. He (Abu Musa Ash'ari) said: I followed his steps asking about him until I came to Bi'r Aris (it is a well in the suburb of Medina). I sat by its wooden door until Allah's Messenger (ﷺ) had relieved himself and then performed ablution. I went to him and he was sitting with his shanks uncovered hp to the knees and his legs dangl- ing in that well. I offered him salutations. I then came back and sat at the door as if I had been a chamberlain at the door of Allah's Messenger (ﷺ) that day. There came Abu Bakr and knocked the door and I said: Who is it? He said: This is Abu Bakr. I said: Wait, please. I went and said: Allah's Messenger, here is Abu Bakr seeking permission. Thereupon he said: Admit him and give him glad tidings of Paradise. I came and I said to Abu Bakr to get in (and also told him) that Allah's Messenger (ﷺ) was giving him the glad tidings of Paradise. Abu Bakr got in and sat on the right side of Allah's Messenger (ﷺ) and dangled his feet in the well as Allah's Messenger (ﷺ) had done, and he uncovered his shanks. I then returned and sat there and I had left my brother as he had been performing ablution and he was to meet me and I said: If Allah would intend goodness for such and such he would intend goodness for his brother and He would bring him. I was thinking this that a person stirred the door. I said: Who is it. He said: This is Umar b., Khattab. I said: Wait. Then I came to Allah's Messenger (ﷺ), greeted him and said: Here is 'Umar seeking your. permission to get in. Thereupon he said: Let him come in and give him glad tid- ings of Paradise. I came to Umar and said: There is permission for you and glad tidings for you from Allah's Messenger (ﷺ) for Paradise. He got in and sat on the left side of Allah's Messenger (ﷺ) with his feet dangling in the well. I then returned and sat and said: If Allah would intend goodness for such and such (that is for his brother), He would bring him. And I was contemplat- ing over it that a man stirred the door and I said: Who is it? He said: This is Uthman b. Affan. I said: Wait, please. I then came to Allah's Messenger (ﷺ) and informed him. and he said: Admit him and give him glad tidings (and inform) him of the turmoil which he shall have to face. I came and said: Get in, Allah's Messenger (ﷺ) gives you the glad tidings of Paradise along with the trial which you shall have to face. He got in and saw the elevated plan round the well fully occupied. He sat on the other side. Sharik said that Sa'id b. al-Musayyib reported: I drew a conclusion from it that their groves would be (in this very state, the graves of Hadrat Abu Bakr, 'Umar Faruq by the tide of the Prophet and the grave of Hadrat 'Uthman away from their graves).
Sahih Muslim Book 44, Hadith 44
Sahih Muslim Book 44, Hadith 42 Next Hadith → I would remain with Allah's Messenger (ﷺ) the whole day long. He came to the mosque, and asked about Allah's Apostle (ﷺ). They (his Companions) said: He has gone in this direction. He (Abu Musa Ash'ari) said: I followed his steps asking about him until I came to Bi'r Aris (it is a well in the suburb of Medina). I sat by its wooden door until Allah's Messenger (ﷺ) had relieved himself and then performed ablution. I went to him and he was sitting with his shanks uncovered hp to the knees and his legs dangl- ing in that well. I offered him salutations. I then came back and sat at the door as if I had been a chamberlain at the door of Allah's Messenger (ﷺ) that day. There came Abu Bakr and knocked the door and I said: Who is it? He said: This is Abu Bakr. I said: Wait, please. I went and said: Allah's Messenger, here is Abu Bakr seeking permission. Thereupon he said: Admit him and give him glad tidings of Paradise. I came and I said to Abu Bakr to get in (and also told him) that Allah's Messenger (ﷺ) was giving him the glad tidings of Paradise. Abu Bakr got in and sat on the right side of Allah's Messenger (ﷺ) and dangled his feet in the well as Allah's Messenger (ﷺ) had done, and he uncovered his shanks. I then returned and sat there and I had left my brother as he had been performing ablution and he was to meet me and I said: If Allah would intend goodness for such and such he would intend goodness for his brother and He would bring him. I was thinking this that a person stirred the door. I said: Who is it. He said: This is Umar b., Khattab. I said: Wait. Then I came to Allah's Messenger (ﷺ), greeted him and said: Here is 'Umar seeking your. permission to get in. Thereupon he said: Let him come in and give him glad tid- ings of Paradise. I came to Umar and said: There is permission for you and glad tidings for you from Allah's Messenger (ﷺ) for Paradise. He got in and sat on the left side of Allah's Messenger (ﷺ) with his feet dangling in the well. I then returned and sat and said: If Allah would intend goodness for such and such (that is for his brother), He would bring him. And I was contemplat- ing over it that a man stirred the door and I said: Who is it? He said: This is Uthman b. Affan. I said: Wait, please. I then came to Allah's Messenger (ﷺ) and informed him. and he said: Admit him and give him glad tidings (and inform) him of the turmoil which he shall have to face. I came and said: Get in, Allah's Messenger (ﷺ) gives you the glad tidings of Paradise along with the trial which you shall have to face. He got in and saw the elevated plan round the well fully occupied. He sat on the other side. Sharik said that Sa'id b. al-Musayyib reported: I drew a conclusion from it that their groves would be (in this very state, the graves of Hadrat Abu Bakr, 'Umar Faruq by the tide of the Prophet and the grave of Hadrat 'Uthman away from their graves).
Sahih Muslim Book 44, Hadith 44