[ANT12] Quadratic reciprocity and prime factorisation
In this video, we finally put all the pieces together and see how quadratic reciprocity can help us to factorise primes in quadratic extensions of Z. ANT books: Marcus, "Number Fields"; Ireland and Rosen, "A Classical Introduction to Modern Number Theory"... Keith Conrad's notes: https://kconrad.math.uconn.edu/blurbs...
![[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends](https://i.ytimg.com/vi/xESwB0nb7bU/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4JgALQBYoCDAgAEAEYZSBlKGUwDw==&rs=AOn4CLCBNnMsyKQxJO2H6F1ET7TJEHLXaA)
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[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends
![[ANT03] Ideal factorisation: recovering uniqueness](https://i.ytimg.com/vi/jE7pxr1nzfc/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBvP7ogrylPsbDBlW_F3nliZVdrCA)
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[ANT03] Ideal factorisation: recovering uniqueness
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We're 99.9% sure this pattern is true, but no one can prove it
![[ANT15] p-adic integers: a primer, and an application (part 1)](https://i.ytimg.com/vi/SwbJmKbFo7o/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4JgALQBYoCDAgAEAEYWiBZKGUwDw==&rs=AOn4CLCS00fvrjugvkoaBTiPn88E_bd-zQ)
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[ANT15] p-adic integers: a primer, and an application (part 1)
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LAWYER: If Cops Ask "Where Are You Coming From?" - Say These Words
![[ANT07] Units and logarithm space (+ bonus theorems)](https://i.ytimg.com/vi/bDs-74plu5A/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBlewRCo_DsYUypFPfzUfSv6ZMOTw)
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[ANT07] Units and logarithm space (+ bonus theorems)
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Weird Things Happen When Energy Goes Negative
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Terry Tao, Ph.D. Small and Large Gaps Between the Primes
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CTNT 2024 - Using Quadratic Reciprocity (Keith Conrad) - Lecture 1
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Number Theory | A quadratic formula mod p??
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🔥Fischer Teaches us 👉 How to PUNISH This Pin
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Prime Numbers - What is Known and Unknown, by Keith Conrad
![[ANT06] Real and imaginary embeddings](https://i.ytimg.com/vi/doZ78MtXSGM/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLAOMPtwADVrA-IOfGPzoosp8hvehQ)
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[ANT06] Real and imaginary embeddings
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Start here to learn abstract algebra
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The Simplest Ancient Math Problem No One Could Solve
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Why is there no equation for the perimeter of an ellipse‽
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William Dunham, A tribute to Euler
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CTNT 2022 - Wieferich Primes (by Keith Conrad)
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JANITOR vs THE BIGGEST GUYS IN THE GYM. They Didn’t Expect THAT
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