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Dive into the beauty of mathematics as we explore Furstenberg's proof of the infinitude of prime numbers. From arithmetic sequences to open and closed sets, we unravel the elegance of mathematical concepts. Join us on this journey and share your thoughts on the intriguing world of proofs, beauty, and the infinite nature of primes. ERRATA: at 2:40, it should be "a~b (mod m) means a–b=k•m". Thanks to all the people who noticed that mistake! Join the Discussion: What are your thoughts on this video? Share your insights and perspectives in the comments section below or in our discord channel discord.gg/6szYjqnsCm (discord sucks noodles and even though I use a never expiring link sometimes it expires... Please let me know if the link fails on you) Subscribe & Stay Tuned: If you enjoy exploring the intersection of storytelling, philosophy and mathematics, don't forget to subscribe to our channel for more thought-provoking content. Hit the notification bell so you never miss an upload! If you find value in our content, consider supporting our channel by liking this video, sharing it with friends, and subscribing. Thank you for joining us on this intellectual adventure into the world of mathematics and philosophy. We look forward to your comments and insights!