(11C) Sums of Three Squares

[Albert Chan]

(01-07-2019 12:09 PM)Gamo Wrote:  Example:

X^2 + Y^2 + Z^2 = 9876543210

Answer:

X=77 Y=391 Z=99380
X=173 Y=359 Z=99380

there are many, many more !

X=388 Y=455 Z=99379
X=541 Y=680 Z=99377
X=553 Y=805 Z=99376
X=100 Y=1241 Z=99373
X=385 Y=1184 Z=99373
X=351 Y=1275 Z=99372
X=145 Y=1388 Z=99371
X=313 Y=1360 Z=99371
X=400 Y=1337 Z=99371
X=812 Y=1135 Z=99371
...

It might be better to test smaller number, say Year 2019.

2019
= 1² + 13² + 43²
= 5² + 25² + 37²
= 7² + 11² + 43²
= 7² + 17² + 41²
= 11² + 23² + 37²
= 13² + 13² + 41²
= 13² + 25² + 35²
= 17² + 19² + 37²
= 23² + 23² + 31²