638,523,249

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Number

$638 \, 523 \, 249$ is:

$3 \times 7 \times 13 \times 107 \times 21 \, 859$

The $3$rd known positive integer whose fourth power can be expressed as the sum of $3$ fourth powers, thus refuting the Euler Quartic Conjecture:

$638 \, 523 \, 249^4 = 630 \, 662 \, 624^4 + 275 \, 156 \, 240^4 + 219 \, 076 \, 465^4$

Also see

• Previous: Counterexamples to Euler Quartic Conjecture

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