Power of 2 containing no Digit 2

From ProofWiki
Jump to navigation Jump to search

Theorem

$2^{168}$ contains no $2$ anywhere in its decimal representation.


Proof

$2^{168} = 374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856$

$\blacksquare$


Historical Note

According to David Wells in his Curious and Interesting Numbers, 2nd ed. of $1997$, this result is attributed to David Roberts.


Sources