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Four-squares theorem
The four-squares theorem reads:
Any positive integer can be written as the sum of four squares of integers.
Explanation
For small numbers it is not difficult to determine, because
3 = 1 + 1 + 1 + 0
31 = 25 + 4 + 1 + 0
310 = 289 + 16 + 4 + 1
HistoryThe theorem was proven in 1770 by the French mathematician Joseph-Louis Lagrange. |