18,496

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Number

$18 \, 496$ (eighteen thousand, four hundred and ninety-six) is:

$2^6 \times 17^2$

The index of the $6$th Cullen prime after $1$, $141$, $4713$, $5795$, $6611$:

$18 \, 496 \times 2^{18 \, 496} + 1$, also expressible as $\paren {17 \times 2^{9251} }^2 + 1$

The $136$th square number:

$18 \, 496 = 136 \times 136$

Also see

• Previous  ... Next: Cullen Prime
• Previous  ... Next: Square Number

Sources

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

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $18,496$