Power of 2 containing no Digit 2
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
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $374,144,419,156,711,147,060,143,317,175,368,453,031,918,731,001,856$