8637

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Number

$8637$ (eight thousand, six hundred and thirty-seven) is:

$3 \times 2879$

The $3$rd term, with $8517$ and $8577$, of the $2$nd arithmetic sequence of $3$ integers with common difference of $60$ all of which can be expressed as the sum of $4$ fourth powers:

$8637^4 = 3450^4 + 3695^4 + 5780^4 + 8012^4$

Also see

• Previous: 3 Numbers in A.P. whose 4th Powers are Sum of Four 4th Powers

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $8373$