12^2+2^2+1^2+1^2 = 144 + 4 + 1 + 1 = 150.
Chat with our AI personalities
The first 4 square numbers are 1^2, 2^2, 3^2, and 4^2, which are 1, 4, 9, and 16, respectively. To find the sum of these numbers, you simply add them together: 1 + 4 + 9 + 16 = 30. Therefore, the sum of the first 4 square numbers is 30.
81 + 1 + 1 + 1
1+4+9=14
what is the least possible sum of two 4-digit numbers?what is the least possible sum of two 4-digit numbers?
To express 95 as the sum of four or fewer square numbers, we can use the Lagrange's four-square theorem, which states that any natural number can be expressed as the sum of four integer squares. In this case, 95 can be written as 9^2 + 4^2 + 2^2, which equals 81 + 16 + 4, satisfying Fermat's statement. This demonstrates that 95 can indeed be expressed as the sum of three square numbers.