Largest Integer Not Expressible as Sum of Distinct 4th Powers

Theorem

The largest integer which cannot be expressed as the sum of distinct $4$th powers is $5 \, 134 \, 240$.

Proof

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Sources

• 1994: Richard K. Guy: Unsolved Problems in Number Theory (2nd ed.)

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5,134,240$