【京大2021】京大の整数問題は大体この解法で解ける気がします。【整数問題】

⭐️ "Oshie Math" allows you to ask Hayashi unlimited questions for a fixed monthly fee. You can try asking questions for free once! https://oshiemath.com/ ⭐️ "Hayashi Math Class," a specialized mathematics school where you can receive direct instruction from Hayashi. Please come for a trial lesson and interview! https://hayashi-math.com/ ✅ Official LINE for students applying to top universities: https://lin.ee/lI7n1SJ Subscriber benefits & live streams for applicants ℹ️ Shunsuke Hayashi's profile https://hayashishunsuke.com/profile/ ・Graduated from Sakae Higashi Junior High School → Chikuma High School → University of Tokyo, Faculty of Science, Department of Physics ・Scored 90% on the second-stage mathematics exam at the University of Tokyo, passing the exam as a current student ・2014 Japan Physics Olympiad Gold Medal ・Placed first place in the 2014 University of Tokyo Physics Mock Exam ℹ️ Please note ・The explanations are Shunsuke Hayashi's own and are not official university information. ・Amazon Associates links will be used when introducing books, etc. This problem proves that when p is prime, p^4 + 14 is not prime. Kyoto University's mathematics exam features many integer problems like this one that focus on polynomials, and many of them share a common solution method. We'll be using this same classic method again this time! This was an easy problem to solve if you were familiar with past questions, so I think it was essentially a bonus question for test-takers. Many of the other main questions were also generally easy, so it could be said that this year's Kyoto University liberal arts mathematics exam was an easy set. ---------- Table of Contents 00:00 This time: 2021 Kyoto University Liberal Arts Mathematics [5] 00:40 Experiment with specific values ​​of p 02:13 When p = 3 02:37 When p ≠ 3 (Consider mod 3) 03:57 Summary of Question 5 04:17 Introduction to similar questions from the past 07:56 Most questions can be solved using mod 3 09:07 Conclusion