This is what has been transmitted to us by Abu Huraira from Muhammad, the Messenger of Allah (ﷺ) and then narrated a hadith out of them and observed that the Messenger of Allah (ﷺ) said: The prayer of none amongst you would be accepted in a state of impurity until he performs ablution.
Sahih Muslim Book 2, Hadith 4
← Previous Hadith A hadith like this is narrated from the Apostle (ﷺ) with the same chain of transmitters by Muhammad b. Muthanna, Ibn Bashshar, Muhammad b. Ja'far, Shu'ba.

Sahih Muslim Book 2, Hadith 3 Next Hadith → Uthman b. 'Affan called for ablution water and this is how he performed the ablution. He washed his hands thrice. He then rinsed his mouth and cleaned his nose with water (three times). He then washed his face three times, then washed his right arm up to the elbow three times, then washed his left arm like that, then wiped his head; then washed his right foot up to the ankle three times, then washed his left foot like that, and then said: I saw the Messenger of Allah (ﷺ) perform ablution like this ablution of mine. Then the Messenger of Allah (ﷺ) said: He who performs ablution like this ablution of mine and then stood up (for prayer) and offered two rak'ahs of prayer without allowing his thoughts to be distracted, all his previous sins are expiated. Ibn Shihab said: Our scholars remarked: This is the most complete of the ablutions performed for prayer.

Sahih Muslim Book 2, Hadith 5