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.
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! 
in 2020 I started to write what I was learning about #primenumbers .. with the aim of reaching the foothills of the #RiemannHypothesis.
That is, at least understanding what the question was.
I learned about unique factorisation, the logarithmic distribution, Euler's product, twin primes, Goldbach conjecture, ...
A year later I paused the project as I needed to learn more maths.
https://www.youtube.com/watch?v=Ln6vWyQ4p3k
I'll be returning to it - writing more, doing more videos
Easy to recite prime numbers. 
"The number 12,345,678,910,987,654,321 is indeed prime. It consists of 20 digits and is really easy to remember: count to 10 and then count backward again until you get to 1. But it has been unclear whether other primes take the palindromic form of starting at 1, ascending to the number n and then descending again."
One day, one decomposition
A162174: Primes classified by level
3D graph, threejs - webGL 
https://decompwlj.com/3Dgraph/A162174.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A162174.html
Mathematicians Uncover a New Way to Count Prime Numbers | @QuantaMagazine
"Around 300 BCE, Euclid proved that there are infinitely many prime numbers. Mathematicians have since built on his theorem, proving the same statement for primes that meet additional criteria. (A simple example: Are there an infinite number of primes that don’t contain the number 7?) Over time, mathematicians have made these criteria stricter and stricter"
https://www.quantamagazine.org/mathematicians-uncover-a-new-way-to-count-prime-numbers-20241211/
A fun #math project I found: can we say all 41,024,320 digits of the largest known prime number before a larger prime number is discovered?
You get assigned a 419-digit exerpt of the prime for you to say on video, then everyone's videos saying their digits are put in a row so everyone says the prime number in full.
(Note: Requires a YouTube channel)
The math YouTube channel Numberphile interviewed Luke Durant who found the new largest known prime number in the Great Internet Mersenne Prime Search (GIMPS)! Though most use their home computer's CPUs, Luke, a former NVIDIA employee, used GPUs instead.
Interview with Luke Durant: https://www.youtube.com/embed/aJHPDGj93-w
Interview with George Waltman, founder of GIMPS: https://www.youtube.com/embed/9ML2q0q53io
Highlights of both with Dr. James Grime: https://www.youtube.com/embed/Yp4ilFOtoeg
Largest known prime number, spanning 41 million digits, discovered by amateur mathematician using free software | Live Science…
The largest known prime number has been discovered, smashing the previous record by more than 16 million digits... Live Science #mathematics #science #technology #primenumbers
I'm geeking out right now – a new #MersennePrime may have been discovered for the first time in six years!! 
#NewMusic out Oct. 4: Prime!
#Prime is my "math electro" love letter to #PrimeNumbers, forgoing my four-on-the-floor style with prime-numbered beats, melody arrangements, and time signature. It's also my 127th release, a Mersenne prime!
Also about Space Quokka 
@Catherine, 
head of the 
Department of Computation, who dreams of discovering the largest prime!
My most beautiful-sounding #music yet and my first track that moved me to tears!
New #artwork done!
#Prime is my upcoming "math electro" release all about #PrimeNumbers, with prime number time signature to note counts to melody timings and more.
It features @Catherine, Space Quokka and head of the Department of Computation, who dreams of discovering the next largest prime number!
It'll be my 127th release – a Mersenne prime! Listen to a preview at https://mastodon.moule.world/@MOULE/112780575357902257 – I think it's my most beautiful tune yet!
One day, one decomposition
A078180: a(n) = smallest integer that can't be written as p*a(i)+1, for any prime p and 0<i<n, where a(1)=1 and a(n) > a(n-1)
3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A078180.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A078180.html
Up to hour 115 of factoring, still going. I suspect this may belong to the group #PrimeNumbers:
If anyone is interested, the number is:
1234567898765432123456789876543210000000111112223334445556667778889990313573
#decompwlj
The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes
1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
https://decompwlj.com
OEISWiki page: Decomposition into weight × level + jump : https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: https://arxiv.org/abs/0711.0865
Prime Numbers: The Most Mysterious Figures in Math
A fascinating journey into the mind-bending world of prime numbers.
Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions.
@bookstodon
#books
#nonfiction
#mathematics
#NumberTheory
#PrimeNumbers
