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nurumaik01/21/20254 repliesview on HN

Since divisibility by 2 and 5 is such a problem, why not look for memorable numbers in prime base, like base 7 or base 11?


Replies

elcomet01/21/2025

I can't tell if this is a joke if if you're serious

euroderf01/21/2025

Why do we care about base 10 ? Because we have five digits per appendage ? BFD. Accident of evolution.

What about palindromes in binary ? That's about as close to a mathematical ideal as we could get. Yes?

Let's see. decimal 11 = binary 1011, its palindrome = 1101 = decimal 13, GOLD!

Retr0id01/21/2025

If we allow non-decimal bases, (2^n)-1 works for a lot of memorable values of n (e.g. 2, 3, 5, 7... and 31, per the article), or some less memorable but very long values of n, like 136279841

They're all technically palindromes in base-2.