Largest Number not Sum of Squares of Distinct Primes

Theorem

The largest positive integer which cannot be expressed as the sum of the squares of distinct prime numbers is $17 \, 163$.

Proof

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Sources

• 1980: Hansraj Gupta: Selected Topics in Number Theory

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $17,163$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $17,163$