Hadith no. 809 is a repeat. Read it here.
I offered the ‘Asr prayer behind the Prophet at Medina. When he had finished the prayer with Taslim, he got up hurriedly and went out by crossing the rows of the people to one of the dwellings of his wives. The people got scared at his speed . The Prophet came back and found the people surprised at his haste and said to them, “I remembered a piece of gold lying in my house and I did not like it to divert my attention from Allah’s worship, so I have ordered it to be distributed (in charity).”
So like it’s good to remain sitting on your prayer place for a while after finishing your prayer. It gives you time to do the after-Salah adhkaar and make du`a. But, if it’s an emergency, you may leave your place immediately. For something as important as Prophet (SAW) had to do in this particular Hadith.
And SubhanAllah, the kind of stuff that worried the Messenger of Allah (SAW). Like whoa!
Narrated ‘Itban bin Malik:
We prayed with the Prophet and used to finish our prayer with the Taslim along with him.
Hadith no. 801 is a repeat. Read it here.
Narrated Abu Ma’bad (the freed slave of Ibn ‘Abbas):
Ibn ‘Abbas told me, “In the lifetime of the Prophet it was the custom to celebrate Allah’s praises aloud after the compulsory congregational prayers.” Ibn ‘Abbas further said, “When I heard the Dhikr, I would learn that the compulsory congregational prayer had ended.”
Narrated Ibn ‘Abbas:
I used to recognize the completion of the prayer of the Prophet by hearing Takbir.
Sunnah: say ‘Allahu Akbar’ loudly after finishing your compulsory (fardh) Salah.
There’s lots of other adhkaar we find in Sunnah that Prophet (SAW) used to do after finishing his fardh Salah. Some of them will be posted in the following days inshaAllah.