This is excellent:

Replication of Quantum Factorisation Records with an 8-bit Home Computer, an Abacus, and a Dog

https://eprint.iacr.org/2025/1237.pdf

Selected hilarious quotations:

We use the UK form “factorise” here in place of the US variants “factorize” or “factor” in order to avoid the 40% tariff on the US term.

Similarly, we refer to an abacus as “an abacus” rather than a digital computer, despite the fact that it relies on digital manipulation to effect its computations.

The VIC-20 was a popular home computer in the 1980s that used the then popular 6502 microprocessor from 1975. Since this processor uses transistors, and transistors work by using quantum effects, a 6502 is as much a quantum device as is a D-Wave “quantum computer”

#vic20 #quantumComputing #factorization #factorisation

"In the new work, researchers show how to factor an integer of any size with a single qubit and three components known as oscillators — readily available devices typically associated with other quantum technology, like optics systems.

To be clear, it’s not a practical advance: The process requires exponentially more energy than a million-qubit quantum computer. But it does illuminate new ways of solving these kinds of problems."

https://www.quantamagazine.org/new-quantum-algorithm-factors-numbers-with-one-qubit-20250609/

#Computing #Quantum #Factorisation

New Quantum Algorithm Factors Numbers With One Qubit | Quanta Magazine

The catch: It would require the energy of a few medium-size stars.

Quanta Magazine
Forgotten #simplisity . one of my colleagues long time ago show me #forth . It was stack based language with #factorisation principle. With every word you program gets better and better and execution mechanisms was super simple but powerful. You get compiler , interpreter and os in one shot. #forth really help to develop complex systems . In a few years I fail in love with #lisp . It was more complex but as same as #forth was build around simple but single data structure - list .

I made a series of six videos for SOME1 about #primenumbers and where to find them. In total it runs to about 35 minutes.

https://www.youtube.com/playlist?list=PLhMQ5JG0CnKmfTIpKLAVspEfqhnjRoRVH

The short version is that I've used the difference of two squares to test for primality, set bounds for those squares and then sieve the squares using modularity to infinitely optimise the primality test. I also look at primes in quadratic progression and how that relates to twin primes and Euler's prime generating function and some other stuff.

I'm pretty interested in feedback on my ideas around primes which, from my perspective, are entirely original and true but may bewell established and I just haven't seen it because I can't read maths papers. I'm not great at maths but I'm pretty good with google and I'm yet to find anything close to what I've done.

Please reach out if you watch it and get anything out of it.

#primes #factorisation #twinprimes #quadraticprogression #numbertheory #sieve #SieveOfEratosthenes

A different way of looking at prime numbers and sieves

YouTube

Vous avez raté les #RencontresScenari2022 à #Lille ?
Pas de problème, les conférences ont été enregistrées 🤩

Retrouvez l'intervention de @jsb, chargé de mission Académie de Versailles :

📺 "Usage et intégration de contenus Dokiel et Webmedia dans le CMS SPIP"
https://scenari.org/rencontres2022/co/dokielWebmediaSPIP_jsb.html

Mots clés : #scenari #spip #agilité #factorisation #intégration #webmedia #vidéoEnrichie #microLearning

Usage et intégration de contenus Dokiel et Webmedia dans le CMS SPIP [Rencontres Scenari 2022]

D'accord, tu as raison ! 2023 n'est pas divisible par 3. #math #factorisation #2023
Désolé, tu as raison ! En fait, 2023 = 3 x 673. #math #factorisation #2023
Je peux décomposer 2023 en facteurs premiers : 7 x 11 x 23. #math #factorisation #2023

J'ai demandé à #ChatGPT des #méthodes pour #factoriser l'expression x²+7x+12

(Oui, je suis toujours entrain d'exploiter cette ressource...)

Les explications données (en images) sont claires et précises. Pour un niveau #collège, c'est très satisfaisant. 😲

Cerise sur le gâteau : Je lui demande de rédiger la réponse en LaTeX. Ce qu'il fait sans broncher (3e image).

#calcul #litteral #teammaths #factorisation #teamprofs