8517

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Number

$8517$ (eight thousand, five hundred and seventeen) is:

$3 \times 17 \times 169$

The $1$st term, with $8577$ and $8637$, 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:

$8517^4 = 1642^4 + 3440^4 + 6100^4 + 7815^4$

Also see

• Previous  ... Next: 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): $8373$