✓ Решаем задачу от ChatGPT: 𝑎² + 𝑏² = 2ⁿ | Ботай со мной #139 | Борис Трушин

Watch the recording of the YaC/e educational conference at the link: https://yace.yandex.ru/?utm_medium=so... Solving the problem from ChatGPT: Prove that for any natural numbers 𝑎≠𝑏, the equation 𝑎² + 𝑏² = 2ⁿ, has no solutions, where 𝑛 is a natural number. Book on combinatorics: http://trushinbv.ru/kombinatorika How to support the channel: Bitcoin: bc1qwzx9t9mz5h5q8sgtz74mdgedxd5wu0g9kq6q5m Ethereum: 0xAE872DcA8B135cf62Df4B36bE576a2EE64c6066a Regular help (Boosty): https://boosty.to/trushinbv Regular help (YouTube): https://www.youtube.com/trushinbv/join Regular help (Patreon):   / trushinbv   Regular help (Sponsr): https://sponsr.ru/trushinbv One-time help (Yu-money, former Yandex.Money): https://yoomoney.ru/to/410011017613074 One-time donation (PayPal): https://paypal.me/boristrushin One-time donation (Donation Alerts): https://www.donationalerts.com/r/bori... One-time donation (Sber): 2202 2001 0398 5451 This academic year I am teaching three courses: ✔ "Preparation for the Unified State Exam in specialized mathematics from 0 to 70 points (10-11 grades)": http://trushinbv.ru/ege70 It is suitable for both tenth-graders who want to consistently solve 70+ questions a year before the Unified State Exam, and eleventh-graders who know almost nothing, but want to get decent scores in a year. In the course we will master both the entire test part and many tasks from the difficult part of the Unified State Exam. ✔ "Preparation for the Unified State Exam in specialized mathematics from 60 to 100 points (grade 11)": http://trushinbv.ru/ege100 For those who already know mathematics at a basic level and want to master it to 90+ in a year. There, we will mainly learn to solve tasks from the difficult part of the Unified State Exam, but we will also delve a little into some meaningful tasks from the test part. (If an 11th-grader is sufficiently motivated, they can study simultaneously on both of these courses - http://trushinbv.ru/egepack - their programs are coordinated with each other) ✔ "Preparation for the List Olympiads in Mathematics (10-11 grades)": http://trushinbv.ru/olymp First of all, this course is for 11th-graders who have mastered the standard school curriculum at least with a "B" and want to prepare for Olympiads such as Phystech, Lomonosov, OMMO and PVG in six months, in order to try to get a diploma in at least one of them. In addition, my last year's courses are available in recording: ✔ "Preparation for the OGE": http://trushinbv.ru/oge9 This is a recording of a large annual course that I conducted a couple of years ago. This year I will not have new courses for the 9th grade. ✔ Mini-courses on individual USE tasks: Probability Theory from scratch to the USE (Tasks 3 and 4): http://trushinbv.ru/egeTV Equations and Inequalities (Tasks 12 and 14): http://trushinbv.ru/egeAL Stereometry (Task 13): http://trushinbv.ru/egeST Economic Problems (Task 15): http://trushinbv.ru/egeEC Planimetry (Task 16): http://trushinbv.ru/egePL Problems with a Parameter (Task 17): http://trushinbv.ru/egePR Number Theory (Task 18): http://trushinbv.ru/egeTC ✔ Mini-courses on listed Olympiads: Phystech Olympiad: http://trushinbv.ru/fizteh Olympiad OMMO: http://trushinbv.ru/ommo Olympiad Lomonosov and PVG: http://trushinbv.ru/lomonosov Other Foxford courses: http://trushinbv.ru/courses Foxford tutors: http://trushinbv.ru/coach Merchant store: http://trushinbv.ru/shop Book from Trushin: http://trushinbv.ru/book VKontakte: https://vk.com/ege_trushin TikTok:   / trushinbv   Twitter:   / trushinbv   Instagram:   / trushinbv   Telegram: https://t.me/trushinbv Facebook:   / trushinbv   YouTube:    / trushinbv   Personal website: http://TrushinBV.ru