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.

I've decided I'm gonna turn this into a thread and post every time my program discovers a new personal best delayed #LychrelNumber.

It recently discovered that 191220247777777777889829108 takes 196 "reverse and add" iterations before it becomes a palindrome! The number of iterations is ironic considering 196 itself is conjectured to be the first #LychrelNumber. Only 98 more iterations and it would've been a new world record!

https://en.wikipedia.org/wiki/Lychrel_number

#Math #Mathematics

Lychrel number - Wikipedia

Fun #math to try out:

A #LychrelNumber is any number that DOESN'T become a palindrome when you add itself to itself with its digits backwards repeatedly.

I wrote a Python script (see comments) to find numbers with ≥100 iterations before they become palindromes. I found the following requiring 150:

170000323160230112078861642
170000323160230112078886842

The world record most delayed palindrome, 1000206827388999999095750, requires 293 iterations:

https://en.wikipedia.org/wiki/Lychrel_number

Lychrel number - Wikipedia