Lmst

#RecreationalMathematics out of context #zundamon

Zundamon and Metan talking about the Dirac delta function and its derivative

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.

@Ian_G_Simpson Wait, WHAT?! A *published* *polyiamond* puzzle in 19-TWENTY-TWO?! Holy crap! Does the recreational #math community know about this? I feel like I should have heard about this decades ago!
#maths #RecreationalMathematics

@dmm

TIL there is #RecreationalMathematics, and D. R. Kaprekar was a "recreational mathematician".

https://en.wikipedia.org/wiki/D._R._Kaprekar

#mathematics

Update #3: Big update! I've gone through a huge chunk of my bookmarks and added 116 links to #math-themed resources to my site's links page, mostly sites I've bookmarked while engaging with my current hyperfixation around #PrimeNumbers.

If you're interested in #Googology, #Primes, #DistributedComputing searches for prime numbers, #Factoring, #PrimalityProving, or #RecreationalMathematics, check these out!

https://moule.world/links.html

#Maths #Links #InfoDumping

Screenshot showing my links page on my mostly navy-blue-coloured website.

There are drop-down menus for 88x31 buttons, earth and climate change, libraries, mathematics, and space and astronomy.

The new mathematics drop-down in turn has drop-down menus for googology and really big numbers, prime numbers, miscellaneous mathematics, and recreational mathematics.

Not shown here are even more drop-down menus in the prime number drop-down menu, which include distributed computing projects for prime numbers, factoring, primality testing, and miscellaneous prime number resources.

"Beetle Escape" from Haoran Chen at #G4G: https://www.youtube.com/watch?v=rdjsGt0byOE

Beetles occupy an infinite quarter-plane grid, except for a triangle at the origin. If they can make horizontal and vertical checkers-style jumps (with the jumped-over beetle removed), how large of a triangle permits one beetle to escape to the origin?

The talk shows that escape is impossible for a diagonal of length 7 or more (using Conway's invariant argument for his soldier probem), but 56 beetles can create an escape for n=6.

Is this the best possible? When it is possible for two or more beetles to escape? What about other shapes cut from the half-plane? Lots of good #RecreationalMathematics here.

The Beetle Escape problem illustrated. A goal state sits at the bottom-left corner of a grid. The grid is empty for a taxicab distance of n around that corner -- that is, a triangle with diagonal length n. All the remaining space is filled with beetles.

Geometry for Entertainment by Yakov Perelman

https://mirtitles.org/2024/05/30/geometry-for-entertainment-yakov-perelman/

#mirtitles #books #math #maths #mathematics #geometry #RecreationalMathematics

Child's (12) maths teacher gave them the "2024 Challenge" - which is the Four Fours challenge (https://en.wikipedia.org/wiki/Four_fours) with the digits 2, 0, 2 & 4.

Of course I had to give it a go. I tried to keep the digits in that order, red formulae are where I failed.

Any corrections or improvements welcome!

#math #maths #MathsMonday #RecMath #RecreationalMathematics

101 formulae showing how the numbers from 0 to 100 can each be made from expressions using the digits 2, 0, 2 & 4, along with the usual (and some not so usual) mathematical operators. Most are coloured black but about a third are red - those have the digits out of order.

Full LaTeX code for each expression in reply to this post.

The spectre (and friends): aperiodic monotiles *without reflection*

This is very cool! 😎

https://vm.tiktok.com/ZGJxCtuWM/

#mathematics #RecreationalMathematics #tiling #tesselation #AperiodicTiling

About to spend an afternoon on the Union Closed Sets Conjecture.

Anyone else?

#math #RecreationalMathematics #unionclosed #unionclosedconjecture

The #Distance Between #Numbers - #Numberphile

https://www.youtube.com/watch?v=Sgupo9DLMGs&ab_channel=Numberphile

#Math #Maths #Mathematics #Numbers #2Adic #2AdicMetric #RationalNumbers #RealNumbers #Limit #Infinity #Converge #Convergence #Diverge #Divergence #RecreationalMaths #RecreationalMathematics #Axiom #Axioms #Axiomatic

Go First #Dice - #Numberphile

https://www.youtube.com/watch?v=5q32heFz1bs&ab_channel=Numberphile

#Math #Maths #Mathematics #Numbers #Gaming #Fairness #RecreationalMaths #RecreationalMathematics #Probability

#introduction Hello all.

I am Doug, resident of NW Arkansas, USA, with a #BoringDayJob.

My interests include #woodworking, #writing, #ScienceFiction, #astronomy, #RecreationalMathematics, and #programming. I've self-published some books and sell woodcrafts I've made, but I'll spare everyone the self-promotion...for now.

Have a nice day.

Mathematical Games And Pastimes (Popular Lectures In Mathematics Vol 10) by A. P. Domoryad

https://mirtitles.org/2022/02/11/mathematical-games-and-pastimes-popular-lectures-in-mathematics-vol-10-domoryad/

#mirtitles #books #math #maths #mathematics #recreationalmathematics

#RecreationalMathematics

Client Info