Sorry, this is not a H.W question . But I figure this is the more active section in math, and(adsbygoogle = window.adsbygoogle || []).push({});

that maybe some calculus can help.

The question is that given a number n, Find which base its a palindrome in.

For example,

The given number is n = 3. Starting from base 2 to x, we check which is the smallest base

its a palindrome in.

Starting from base 2.

(3)_10 = (11)_2 [ in base 2 ]

(3)_10 = (1)_3 [in base 3]

.. so on

But we see that base 2 is the smallest so we can stop there. Hope its clear enough.

The question I have is that, is there some theorem that states that a number N, is

palindrome in base > x, where x could be any number. Thus if we get a number N = 12323434. We done need to start checking from base 2. Instead we can start checking

from base x ( by some theorem). Sorry if this is a random question.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Find base in which the number is a palindrome

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**