Zayd bin Khalid reported,

He informed him that he asked Uthman bin Affan رضي الله عنه, "Tell me, if a man has intercourse with his wife but does not ejaculate, what should he do?"Uthman replied, "He should perform ablution as he does for prayer and wash his private part."Uthman said, "I heard this from the Messenger of Allah ﷺ."So I asked Ali, Zubayr, Talha, and Ubayy bin Kaab رضي الله عنهم about this, and they all instructed him to do the same.

Bukhari 179

Sahih

حدثنا سعد بن حفص حدثنا شيبان عن يحيى عن أبي سلمة أن عطاء بن يسار أخبره أن

زيد بن خالد

أخبره أنه سأل عثمان بن عفان رضي الله عنه قلت أرأيت إذا جامع فلم يمن قال عثمان يتوضأ كما يتوضأ للصلاة ويغسل ذكره قال عثمان سمعته من رسول الله ﷺ فسألت عن ذلك عليا والزبير وطلحة وأبي بن كعب رضي الله عنهم فأمروه بذلك

البخاري 179صحيح
Contents
Reference
Commentary
Ayat
Collection
Sahih Bukhari
Book
Wudu
Chapter
Those who hold that wudu is required only for that which exits from the two passages, the front and rear
Numbering
Darussalam 179
Bukhari 179