Problem 58359. List numbers that cannot be expressed as the sum of fewer than four squares
Lagrange proved that all positive integers can be expressed as the sum of four squares. For example, 27 = 16 + 9 + 1 + 1. However, it can also be expressed as the sum of three squares (9 + 9 + 9). In contrast, while 47 = 36 + 9 + 1 + 1, it cannot be expressed as a sum of fewer than four squares.
Write a function that produces the nth member of the sequence of numbers that cannot be expressed as the sum of fewer than four non-zero squares.
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