1. ## Palindromic numbers

I've been revisiting some of the Project Euler problems that I skipped because I wasn't motivated at the time =)

Anyway, problem #4 is called "Largest palindrome product":

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 * 99.
Find the largest palindrome made from the product of two 3-digit numbers.
Source: Problem 4 - Project Euler

I have a solution and have calculated the largest products for the products of 2-, 3-, 4-, 5-, 6-, and 7-digit numbers. And I get the sequence below (starting from the largest for 4-digit numbers so I don't give the answer to the question from Project Euler.

9999 * 9901 = 99000099
99979 * 99681 = 9966006699
999999 * 999001 = 999000000999
9999979 * 9467731 = 94677111177649

This sequence (of the results) doesn't seem to be a named sequence. Is it too boring? Surely there must be a sequence or related sequence... I'm sure there are more obscure sequences than this one that are listed on, for example, on oeis.org.

My solution is still brute force and that makes me uneasy but I can't seem to get my lightbulb to light. 2. There exists a larger palindrome product of two 7-digit numbers:

9998017 * 9997647 = 99956644665999

8-digit:
99999999 * 99990001 = 9999000000009999

9-digit:
999980347 * 999920317 = 999900665566009999

10-digit:
9999999999 * 9999900001 = 99999000000000099999 3. Originally Posted by Hodor My solution is still brute force and that makes me uneasy but I can't seem to get my lightbulb to light.
There is a forum in Project Euler that opens up after you solve the problem. It has several interesting ways people used to solve the problem. For this particular problem, I could see many interesting solutions, some not using a computer at all. 4. In other news, through some guesswork and playing around, I figured out Euler 5 on paper before I ever wrote an algorithm for it so now I would essentially have to work backwards.
Granted, it is probably an easier problem than this one.
I wonder if the site accepts functions that do no calculations at all. Popular pages Recent additions 