Me shouting into the void (US Politics)
| Website | https://nathangrigg.com |
| About me | https://nathangrigg.com/about/ |
| Location | Los Angeles |
| Website | https://nathangrigg.com |
| About me | https://nathangrigg.com/about/ |
| Location | Los Angeles |
Me shouting into the void (US Politics)
@christianp Can’t stop now!
None of 1^1, 2^2, 3^3, 4^4, 5^5 have repeated digits, but all other values of n^n have repeated digits.
1! through 6! have no repeated digits, but all other factorials have repeated digits (could have solved this one by hand but I didn’t)
@christianp This led me on a fun journey:
What is the largest cube, fourth power, etc, with no repeated digits? (1 and 2048 are the only 11th powers with no repeated digits)
What is the largest power of 2, 3, 4, etc, with no repeated digits? (536870912 = 2^29)
This led me to the meta question “What is the largest n such that at least one value of n^a (a > 1) has no repeated digits?” which brought me back to 99066 (of course)