Math Problem

try higher multiples of primes like 25 or 35

Assuming target is a perfect square of x

x sqd lies between 104,000 and 195,000

so x lies between 322 and 441 and ends in a 5

write x=10c + 5 where c lies between 32 and 43 (incl)
then x sqd = 100c sqd + 100c + 25 = (a multiple of 100) +25


therefore your target is NOT a perfect square because all of the above end in 25 not 75.

what if we took that to be some other number system, like hex, where that number is equal to 1723253. Is there a base such that 1a4b75 is a perfect square, assuming a is ten and b is eleven, and is there a base such that 1a4b75 is a perfect square while still allowing for a and b to be variables?

It looks a perfect square to me. I've consulted a few of the girls in the pub and they agree with me.

They did use more strenuous language though which I will not repeat on what is a family forum.