How many pairs of natural numbers a,b where a and b are consecutive numbers and one is a square and the other is the factorial of a square?

Question

kainui · Answer

For example, 24 and 25 is one pair since they are consecutive numbers, 25 is a square and 24 is 4! which is the factorial of a square. =D

ganeshie8 · Answer

this is an open problem http://mathworld.wolfram.com/BrownNumbers.html

kainui · Answer

Oh haha, I just came up with this since today's my birthday so I'm turning 25 from 24 and was trying to think up something interesting, I didn't mean to come up with an unsolvable problem haha!

anonymous · Answer

@Kainui please close this if you know the answer.