+537 Find the number of solutions to \(x^2-y^2=20!\) in positive integers.
There are many, many integer solutions. Here are just a few:
x y
1559776320 400320
1559776527 897777
1559777240 1740760
1559779200 3024000
1559779759 3299759
1559781204 3923796
1559781248 3941248
1559784960 5207040
1559786700 5704500
1559791656 6928344
1559792340 7080660
1559794176 7474176
1559796000 7845600
1559799360 8487360
1559800800 8748000
1559808144 9971856
1559812480 10628480
1559818890 11530890
1559821680 11902320
1559821752 11911752
1559827584 12652416
1559832000 13185600
1559852640 15435360
1559855241 15696009
1559859120 16076880
1559866026 16733526
1559869892 17090108
1559875968 17635968
1559891700 18976500
1559896380 19357380
1559906208 20133792
1559907840 20259840
1559925000 21540600
1559937120 22401120
1559952000 23414400
1559963440 24164560
1559970000 24584400
1559977920 25081920
1559998080 26305920
1559999083 26365333
