Answered by Ustadh Tabraze Azam
Question: My current intention for my make up prayers is for example: “i intend to pray 4 fard of dhuhr salat al qada, for all the prayers i have missed this is 57th, for Allah, facing Al Ka’ba”. Is this okay?
Answer: Assalamu alaikum wa rahmatullah,
I pray that you are in the best of health and faith, insha’Allah.
Yes, the intention you have mentioned is fine.
An intention is a condition for the validity of the prayer. Thus at an absolute minimum, you should intend that it is  a makeup and,  which prayer it is (i.e. Dhuhr, `Asr, Maghrib etc.)
Practically, it would be simpler to intend that the specific (e.g. Dhuhr) makeup prayer is the most recent one you missed. This is easier to sustain than mentioning a specific number (e.g. 57th) which is likely to become very cumbersome if you have a large number of prayers to make up.
[Shurunbulali, Maraqi al-Falah]
And Allah alone gives success.
Checked & Approved by Faraz Rabbani