Question:

I have heard about Salatul-Hajah (The prayer of need) and Salat Hifzul Qur’an (The prayer of Qur’an memorization) - are these prayers or not?

Answer:

They are both incorrect; neither Salatul-Hajah nor Salat Hifzul-Qur’an are correct, because it is not possible to confirm such acts of worship except by some legal evidence and there is no legal evidence by which to make them lawful.