Update: I fixed my old MacBook to run this program and, by luck, the first number it found with over 180 "reverse and add to itself until it's a palindrome" iterations is 1107160000659887332018747, with 243 iterations, the same as my personal best from months ago!

Bonus: if you replace the "16" with "48" and replace the "201" with "682" in that number, it too results in the same palindromic number after 243 iterations. I've now got 3 personal bests!

#MostDelayedPalindromicNumber #LychrelNumber

NEW PERSONAL BEST: I've decided to go backwards from my start value and found my newest most delayed palindromic number: 1102320000659887332443347 takes 243 reverse-and-add iterations before it becomes a 123-digit palindrome!

This beats Jason Doucette's past world record on July 10, 2003 with 236 iterations (https://jasondoucette.com/worldrecords.html#Most). My new best record I've found is only 51 iterations from beating the current world record of 293.

#Math #Mathematics #MostDelayedPalindromicNumber #LychrelNumber

UPDATE: My program found a new personal best most delayed palindromic number!

The 25-digit number 1102320000659911613429286 takes 235 iterations before it becomes a 123-digit palindrome.

This beats a former world record set in 2003 by Jason Doucette involving 233 iterations (source: https://jasondoucette.com/worldrecords.html#Most), and is 58 iterations off from the current world record of 293.

#Math #LychrelNumber #MostDelayedPalindromicNumber #Mathematics #RecMath #RecreationalMathematics

Jason Doucette - World Records - 196 Palindrome Quest, Most Delayed Palindromic Number

Jason Doucette's Resume Homepage, World Records for Interesting Mathematical Patterns involving Numerical Palindromes, Yarmouth Co., Nova Scotia, Canada.

Another update: Replacing the last 0 in the above number with a 9 and letting it follow the reverse-and-add process, it too takes 228 iterations before it reaches the same palindrome. Now I have two personal bests! 

#LychrelNumber #MostDelayedPalindromicNumber

UPDATE: New personal best delayed palindromic number discovered!

The 25-digit number 1702202577777781056628859 takes 228 "reverse and add" iterations before it reaches a 116-digit palindrome! It can be verified on https://www.dcode.fr/lychrel-number where you can see all the steps it takes!

That's 32 more iterations than my previous record, and 65 off from the current world record of 293. Awesome!!

#Math #LychrelNumber #MostDelayedPalindromicNumber #Mathematics

Lychrel Number Tester - List - Online Calculator

Tool for exploring and testing the Lychrel Numbers, these fascinating natural numbers that resist transformation into palindromes by one iteration of mirror number calculation.