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#math

47 posts42 participants3 posts today

I'll be posting the questions from AMS 2025 Daily Epsilon of Math Calendar daily from now on. I should have started earlier (doing it on Blue sky for some time). Hope it will be of interest

Here's the question for April 13th. For those unfamiliar with the calendar, the answer is always the day of the month. Looking for imaginative solutions is the aim.

Keith Devlin wrote, “The shift began with the introduction of the digital arithmetic calculator in the 1960s, which rendered obsolete the need for humans to master the ancient art of mental arithmetical calculation.” Makes me wonder when #math #education will realize this.

Deltoidal icositetrahedron mapped from the continuous polynomial ((√2-1)(x+y)+z)^60+((√2-1)(-x+y)+z)^60+((√2-1)(x-y)+z)^60+((√2-1)(-x-y)+z)^60+((√2-1)(x+z)+y)^60+ ((√2-1)(-x+z)+y)^60+((√2-1)(x-z)+y)^60+((√2-1)(-x-z)+y)^60+((√2-1)(y+z)+x)^60+((√2-1)(-y+z)+x)^60+ ((√2-1)(y-z)+x)^60+ ((√2-1)(-y-z)+x)^60-1=0. The polyhedron, a ‘Catalan’ solid, has 24 identical kite shaped faces, 26 vertices and 48 edges. #maths #mathematics #math #polyhedrons

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.

Je partage ce texte [1] d'Eva Philippe [2], sur la place de la recherche en mathématiques, sur le militantisme, sur la dissonance cognitive, sur la recherche de sens à nos vies, sur l'enseignement (des mathématiques), sur plein d'autres choses aussi.

J'ai trouvé ça beau, honnête, humble, puissant.

[1] mycore.core-cloud.net/index.ph
[2] perso.imj-prg.fr/eva-philippe/

Service My CoReService My CoRe - My CoRe, partage et nomadismeEpilogue (FR).pdf est partagé publiquement

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: