Lmst

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

Photo of the Python 3.10 program running on a computer, called LychrelMT.py.

After I entered a 25-digit number, I let the program cdo the reverse-and-add process before it finds a palindrome, or goes over 315 iterations, indicating a likely Lychrel number which will follow the reverse-and-add process forever, but I'm interested in most delayed palindromes. If it finds a number with 180 or more iterations before it becomes a palindrome, it outputs it to the terminal. It then increments the number it just tested by 1 and repeats the test.

This morning, I find that after over 88 billion numbers, my program found five numbers with 180 or more iterations, including the most recent one which has 235 iterations.

Screenshot from https://www.dcode.fr/lychrel-number confirming the number my program found becomes a 123-digit palindrome after 235 iterations.

Update: New record! After appending random digit after random digit for two days, it eventually found this 31689-digit prime. It's larger than the 148091th number in the Fibonacci sequence, which is also prime.

The tiny white digits on the black background look like TV static when zoomed out!

#Math #Mathematics #PrimeNumbers #Primes #RecreationalMathematics #RecMath

Screenshot of the 31689-digit prime number in its entirety. The white digits on the black background are so numerous it appears like TV static when zoomed out.

Update: overnight it found a 17828-digit prime number, a new personal best!

I can see why most primes found are found with easy-to-write formulae like (2^p)-1 or (k^2^n)+1. Ttrying to go backwards – coming up with a compact formula to represent a really huge prime made up of random digits like this one, is really tricky.

#Math #Mathematics #PrimeNumbers #Primes #RecreationalMathematics #RecMath

Screenshot of the 17828-digit prime number in its entirety. The white digits on the black background are so numerous it appears like a grey rectangle when zoomed out.

Just for fun, I wrote a Python program to start with a random decimal digit, and keep adding the decimal digit until it reaches a prime number.

I'm excited to share it's found a 10997-digit long prime number, which is my new personal best largest prime! It's larger than the 37th factorial prime (3507!-1) which is 10912 digits.

I'll leave the program running overnight to see if it can find longer ones! :MOULE_Happy:

#Math #Mathematics #PrimeNumbers #Primes #RecreationalMathematics #RecMath

Screenshot of the 10997-digit prime number in its entirety. The white digits on the black background are so numerous it appears like a grey rectangle when zoomed out.

Continuing the series of videos of #G4G15 :

Sabetta Matsumoto:
Bending Seams - How to Create Couture Curves

https://www.youtube.com/watch?v=vMa6RIi42L4

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)
Please share!

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Continuing the series of videos of #G4G15 :

Bjoern Muetzel - Apollonian Dream

https://www.youtube.com/watch?v=m9PNxh3cEwE

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Continuing the series of videos of #G4G15 :

Spandan Bandyopadhyay:
The Egg Sandwich Problem

https://www.youtube.com/watch?v=vLUBX3q38oQ

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Continuing the series of videos of #G4G15 :

George Hart, Abraham Sharp and the "Sharpohedron"

https://www.youtube.com/watch?v=0K_0vMrZBjc

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Continuing the series of videos of #G4G15 :

Tanya Khovanova: My Favorite Math Jokes

https://www.youtube.com/watch?v=zNQLCR0yz2A

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

We continue the series of videos of #G4G15 :

Robin Houston:
Polyhedra Whose Faces Meet at Right-Angles Except on One Edge

https://www.youtube.com/watch?v=eru0lAuqLzU

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

It's Maths Week England !!!!

https://mathsweekengland.co.uk/

#MWE2024 #MWE24 #MathsToday #MathsChat #MathsEd

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Continuing the series of videos of #G4G15 :

Scott Vorthmann: The Virtual Fifty-Nine Icosahedra

https://www.youtube.com/watch?v=NP4PN1tgGvU

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

We continue the series of videos of #G4G15 :

This is quite simply astonishing:

Bob Hearn:
The Magnetic Fifty-Nine Icosahedra

https://www.youtube.com/watch?v=pxsT-uavzug&list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x&index=2

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

We continue the series of videos of #G4G15 :

Greg Whitehead:
Nerd Sniped by the Hat Tile

https://www.youtube.com/watch?v=paYj4hEIsxk

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

We continue the series of videos of #G4G15 :

Amina Buhler-Allen:
Hyperspace Heroes 1: Odd Bedfellows

https://www.youtube.com/watch?v=7Hc9cHwtcQc

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Chaim Goodman-Strauss:
The Hat Aperiodic Monotile

https://www.youtube.com/watch?v=PZw2lFws5oo

Video from #G4G15 ... there's some gorgeous stuff here.

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Eric Bates: Passing the Spark

Why do some people seem so natural on camera, while the rest of us feel awkward and inarticulate? This talk delves into the art of speaking to a camera and sharing your skills online...

https://www.youtube.com/watch?v=RWgs7bcpcJI

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat