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Every non-negative real number is a square (every number if in the complex field) so every real number greater than or equal to -1 is one less than a square. Even if you restrict yourself to perfect squares, of the form n2, then n2 - 1 = (n-1)*(n+1) is one less than a square. There are infinitely many such numbers.

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Q: The only number that is one less than a square?
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