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Given an arbitrary integer n (in ℤ), we do a proof that the two numbers 5n+3 and 7n+4 are relatively prime (coprime) without using mathematical induction. Use the GCD is a Linear Combination Theorem. "Friendly Introduction to Number Theory": https://amzn.to/3Ixo9Lq 🔴 Extended Euclidean Algorithm: GCD is a Linear Combination: • Extended Euclidean Algorithm: GCD is ... 🔴 Number Theory Examples and Proofs: • Number Theory Examples and Proofs 🔴 Ultimate AP Calculus AB Review: • Ultimate AP Calculus AB Review 🔴 Abstract Algebra Course Lectures playlist: • Abstract (Modern) Algebra Course Lect... #numbertheory #coprimenumbers #number Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ 🔴 Follow me on Twitter: / billkinneymath 🔴 Follow me on Instagram: / billkinneymath 🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.