【間違い指摘】PASSLABOさんの「素数無限個証明」が間違っていたので、数学的に修正します

-------Overview------- Didn't you honestly feel something was off about PASSLABO's "Proof of Infinite Prime Numbers" video? From a mathematics perspective, this video thoroughly explains the confusion, inconsistencies, and logical leaps that many viewers likely felt. This isn't just nitpicking. This video delves into the terrifying importance of "assumptions" in mathematics, the rigorous logical development required when using proof by contradiction, and the essential principle that we must not confuse the "world of assumptions" with the "real world." In particular, why isn't the counterexample (59 x 509) presented in the video a "counterexample to the original proof"? This video should provide a clear and satisfying explanation. Viewers have given it rave reviews, saying things like, "My inconsistencies have been resolved," and "It's all clear now!" Mathematics is the ultimate world of logic. We hope this video will serve as a catalyst for deepening your mathematical thinking to the next level. Is it too detailed? No, this is mathematics. 🎥 Related Videos 🎥 ▼    • 【数学の闇】「57は素数」という証明を見て発狂する数学科の反応【グロタンディーク素数】   ▼    • 【京大数学】条件を満たす「素数」を全て求めよ。理系の整数問題に挑戦   ▼    • 「金玉の平均は1個」は大嘘です。統計学で論破します。   --Tonsuke's Profile-- Junior High: Hardcore online gamer (20,000 hours of play) High School: Public high school with a low academic ranking (deviation score of 43), repeatedly failing English University: Graduated at the top of his class from Ritsumeikan University, Department of Mathematical Sciences Graduate School: University of Washington Graduate School (Probability Specialist) 　　　　Withdrew after developing depression and being diagnosed with a rare disease Currently: Active staff data scientist (manager) / business consultant 📩 For work inquiries and consultations Please feel free to contact me by email for the following requests and consultations! Math tutoring (learning consultations and advice also welcome) Data Science (DS) outsourcing (data analysis, data science projects, etc.) Referral DS recruitment (for experienced professionals. Casual interviews also welcome!) ✉️ [email protected] 🐶 Support & Links 🐶 ▼ Become a member and support us    / @tonnsuke   ▼ Goods store https://suzuri.jp/tonnsuke?utm_source... ▼ LINE stamps http://www.line-tatsujin.com/detail/a... 📷 Filming Equipment Camera Used: https://amzn.to/3bPg06v Lens Used: https://amzn.to/3NPtZqd Microphone Used: https://amzn.to/3AyruWt ⚠️ Notes *Links include Amazon Associates. *Comments without a heart emoji (💛) cannot be read by the system. --References/Sources-- The following were referenced (quoted): BGM: https://dova-s.jp/bgm/play15393.html [Genius Mathematician's New Proof] Prove that there are infinitely many prime numbers:    • 【天才数学者の新証明】素数が無限にあることを証明せよ。   Email: [email protected]