Paysages Mathématiques<p>Theorem of the Day (April 14, 2025) : Euler’s Even Zeta Formula<br>Source : Theorem of the Day / Robin Whitty<br>pdf : <a href="https://www.theoremoftheday.org/NumberTheory/EvenZeta/TotDEvenZeta.pdf" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">theoremoftheday.org/NumberTheo</span><span class="invisible">ry/EvenZeta/TotDEvenZeta.pdf</span></a><br>notes : <a href="https://www.theoremoftheday.org/Resources/TheoremNotes.htm#238" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">theoremoftheday.org/Resources/</span><span class="invisible">TheoremNotes.htm#238</span></a> <br><a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>maths</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/theorem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>theorem</span></a> <span class="h-card" translate="no"><a href="https://mathstodon.xyz/@Theoremoftheday" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>Theoremoftheday</span></a></span></p>
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Wohlan, Ihr Hexen und Werwölfe: Meton sagt, heute Nacht ist Vollmond.
How a Problem About Pigeons Powers Complexity Theory | Quanta Magazine…
When pigeons outnumber pigeonholes, some birds must double up. This obvious statement — and its inverse — have deep connections to many areas of math and computer science... #mathematics #computerscience #complexitytheory #gametheory #computationalscience
for much deliberation · How a Problem About Pigeons Powers Complexity Theory | Quanta Magazine…When pigeons outnumber pigeonholes, some birds must double up. This obvious statement — and its inverse — have deep connections to many areas of math and computer science… #mathematics #compu…
Theorem of the Day (April 12, 2025) : Thales’ Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/GeometryAndTrigonometry/Thales/TotDThales.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#63
#mathematics #maths #math #theorem @Theoremoftheday
Continued thread
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.
The generation of prime numbers into weight × level + jump (animation - three.js)
Experimental for now (only natural and prime numbers) but soon this animation will be added to the 1000 sequences of my site.
https://decompwlj.com/exp-code/code-anim-prime.html
https://decompwlj.com/exp-code/code-anim-natural.html
One day, one decomposition
A230633: Numbers n such that m + (sum of digits in base-4 representation of m) = n has exactly one solution
3D graph, threejs - webGL 
https://decompwlj.com/3Dgraph/A230633.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A230633.html
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! 
"The chemist smiles at the childish efforts of alchemists, but the mathematician finds the geometry of the Greeks and the arithmetic of the Hindoos as useful and admirable as any research of today." – Florian Cajori (1859-1930)
#quote #mathematics #math #maths
