∀n ∈ ℕ, prove (21n + 4) / (14n + 3) is irreducible.
Proof:
gcd(21n + 4, 14n + 3)
= gcd(2(21n + 4), 3(14n + 3))
= gcd(42n + 8, 42n + 9)
= gcd(42n + 8, 1)
= 1
∴ (21n + 4) / (14n + 3) is irreducible. QED

MTM07: Proofs / How Do You Know You What You Think You Know?
By Fundamentals and average_gary
Aired Feb 26, 2025 · 1h 0m · Last boosted Mar 17, 2025
Chapters
Show Notes
Proofs https://www.youtube.com/watch?v=HIkIqt_ytdc Fermat's Little Theorem https://mathworld.wolfram.com/FermatsLittleTheorem.html Euler's Function https://en.wikipedia.org/wiki/Euler's_totient_function Elliptic Curves: Point Addition https://www.rareskills.io/post/elliptic-curves-finite-fields Fundamentals npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g AverageGary npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9
Nostr Boost Stats
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Nostr Community
Everyone who has boosted MTM07: Proofs / How Do You Know You What You Think You Know? on Nostr, ranked by sats sent, all time.
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Ape Mithrandir 7.8k sats
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Pickle Dan 🥒
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theGig
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godsdeth (dr4kdr0u)
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Episode Boosts
Every boost sent to this episode, as published to Nostr, newest first.
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I want to hear more about math being a subject of the humanities. I love how this pod stresses the urgency of us being able to verify today's cryptography and to be able to independently verify future cryptography (don't get hoodwinked).
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I have theory: Every time these guys get together to record an episode of Motivate the Math it turns out to be an awesome breakdown of the language of reality. Proof: 1(npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9)+1(npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g)="Awesome Breakdown of the Language of Reality" See! The math always works out! Every single time! My favorite part of this episode was near the end as npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g explains how Mathematics is a liberal art and not a science. It caught me off guard a little, but listening to the way he explains it in terms of Humanity made me begin to understand the point he was making. It's definitely something I'll be pondering.
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Thank you gentlemen





























