The correct answer is that there would have been 602,176 Crusaders, who
could form themselves into a square 776 by 776; and after the stranger
joined their ranks, they could form 113 squares of 5,329 men--that is, 73
by 73. Or 113 x 73^2 - 1 = 776^2. This is a particular case of the
so-called "Pellian Equation," respecting which see _A. in M._, p. 164.