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Number Theory

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Numberphile
The Prime Constant

Explore the fascinating prime constant with mathematician Matt Parker, uncovering its unique properties and significance in number theory. Gain insights into this hidden mathematical gem.
- YouTube
- 11 minutes
- On-Demand
- Free Video
Numberphile
The Hyper Moser and Other Mega Numbers

Explore mega numbers with Tony Padilla as he delves into the fascinating concepts of Mega and Moser numbers, part of the realm of extraordinarily large numbers in mathematics.
- YouTube
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Numberphile
Conway's Base 13 Function

Discover John Conway's fascinating Base 13 Function through mathematical demonstrations and insights into this remarkable numerical concept.
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Numberphile
Way Bigger Than Graham's Number - The Goodstein Sequence

Explore the mind-bending Goodstein Sequence, a mathematical concept that generates numbers far larger than Graham's Number, with mathematician Richard Elwes explaining its fascinating properties and significance.
- YouTube
- 17 minutes
- On-Demand
- Free Video
Numberphile
100000001 Is Divisible by 17

Discover why 100000001 is divisible by 17 through fascinating mathematical patterns and divisibility rules with Matt Parker's engaging exploration of number theory.
- YouTube
- 23 minutes
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Michael Penn
Primitive Roots Modulo n

Explore the mathematical foundations of primitive roots modulo n, covering order calculations, existence theorems, and applications to solving exponential congruences.
- YouTube
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Numberphile
Schur Numbers - The World's Biggest Proof

Discover Schur numbers and explore the mathematical proof that became the world's largest, featuring combinatorial number theory and computational mathematics breakthroughs.
- YouTube
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Hausdorff Center for Mathematics
Formalizing Deligne's Theorem in Number Theory

Explore Deligne's theorem in number theory, focusing on its formalization and implications for mathematical research and understanding.
- YouTube
- 1 hour 2 minutes
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NPTEL; IIT Kharagpur
Cryptography and Network Security
17 reviews

Explore modern cryptography, network security, and cryptanalysis techniques. Learn about symmetric and asymmetric encryption, hash functions, and secure communication protocols.
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Numbers Are Serious but They Are Also Fun - Michael Atiyah

Explore the world of numbers with mathematician Michael Atiyah, from pi to e, and discover the joy and importance of mathematical invention and discovery.
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Hausdorff Center for Mathematics
Panorama of Mathematics - Manjul Bhargava

Explore the Birch and Swinnerton-Dyer Conjecture with Fields Medalist Manjul Bhargava, delving into rational solutions of polynomial equations and the structure of points on cubic curves.
- YouTube
- 1 hour 16 minutes
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Institute for Advanced Study
The Unbounded Denominators Conjecture - Yunqing Tang

Explore the unbounded denominators conjecture in modular forms, its implications, and a new proof approach using arithmetic algebraization theorem.
- YouTube
- 1 hour 10 minutes
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Institute for Advanced Study
Primes and Knots - Akshay Venkatesh

Explore surprising parallels between number theory and 3D geometry, uncovering connections that continue to shape mathematical research.
- YouTube
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Insights into Mathematics
Factoring Large Numbers into Primes - Famous Math Problems

Explore prime factorization of large numbers, modular arithmetic, and theorems by Fermat and Euler. Learn techniques to tackle complex mathematical problems and improve number theory skills.
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Insights into Mathematics
The Deep Structure of the Rational Numbers - Real Numbers and Limits Math Foundations

Explores the deep structure of rational numbers, focusing on their layered nature within [0,1]. Covers key concepts like Farey sequences and Ford circles, emphasizing rationals' importance in modern mathematics.
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