Prime Palindrome

Number Theory Level pending

What is the smallest integer that can be written as a palindrome in bases 31 and 32?

2015 2016 2018 2017

1 solution

Ravneet Singh
Jan 1, 2017

In base 31, 2017 can be written as $232$ = $2*31^2+3*31^1+2*31^0$

In base 32, 2017 can be written as $1v1$ = $1*32^2+31*32^1+1*31^0$ as $v$ is equal to 31 in base 32