Find two integers whose squares have a difference of 1,234,567.

can you find two integers whose squares will produce a difference of any whole number you chose?

if so, how? if not, what kind of numbers can't be chosen.

well...a^2-b^2=1234567

we knowa must end in a 1 or 9andb must end in a 2 or 8(this is to produce the seven at the end)

i came up with617289^2-617288^2=1234577and that's as close as i can get.

any suggestions? first time poster!sorry if it is an unusual / inappropriate post!

much thanks!