23

This number is a prime.

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Kristen Eller ©2002

The largest integer that cannot be expressed as the sum of two nonsquarefree numbers. A number is nonsquarefree (or non-squarefree) if it contains at least one square in its prime factorization. [Rupinski]

The sum of the square roots of the first 23 primes is very near the 32nd prime. [Rupinski]

The largest of the six primes which are uniquely expressible as the sum of at most 4 squares. The others are 2, 3, 5, 7, and 11. [Rupinski]