TITLE: Perfect square or cube
QUESTION [2 upvotes]: There is series like N= 3! + 4! +.....+ 64!. It is asked whether it is perfect square or cube .  How to identify Whether N is perfect square or cube for any big factorial or for sum of factorial ?

REPLY [1 votes]: the number is of form 8k+6. a perfect square cant be of this form.
{"set_name": "stack_exchange", "score": 2, "question_id": 2962498}