#lychrelnumber — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #lychrelnumber, aggregated by home.social.
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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
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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! :MOULE_Happy:
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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
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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!
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CW: Math (a lot of digits)
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
170000323160230112078886842The world record most delayed palindrome, 1000206827388999999095750, requires 293 iterations: