Jami` at-Tirmidhi Book 11, Hadith 3
The Prophet prohibited celibacy.
"We went with Allah's Messenger, while we were young men who had nothing. He said: 'O young men! You should marry, for indeed it helps in lowering the gaze and protecting the private parts. Whoever among you is not able to marry, then let him fast, for indeed fasting will diminish his sexual desire."
"The Messenger of Allah refused Uthman bin Ma'zun (when he asked) regarding celibacy, and if he had permitted it for him, then we would have castrated ourselves."