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mathematics
AI Solves Erdős Math Problem: What's Next for AI in Mathematics?
An AI solved an 80-year-old Erdős math problem by walking a path mathematicians had collectively avoided.
Riemann Hypothesis: The Conjecture That Controls Prime Numbers
The Riemann hypothesis claims all nontrivial zeros of the zeta function lie on a single line. If true, it pins down exactly how...
Mersenne Primes: The Largest Primes Ever Found
A Mersenne prime is a prime number of the form 2^n - 1, where n is itself prime. Only 52 are known. Learn...
Langlands Program: Mathematics' Bridge Between Worlds
The Langlands program connects number theory and representation theory, proposing that prime numbers and symmetry share deep, hidden structures.
Prime Numbers: Definition, Properties, and Why They Matter
A prime number is a natural number greater than 1 whose only factors are 1 and itself. Primes are the atoms of arithmetic.
Lichtenberg Figures: From Lightning Scars to Laser Printers
Lichtenberg figures are branching, tree-like shapes produced when high-voltage electrical discharges spread across or through an insulating material.
Fractal Geometry in Nature: The Hidden Math Behind Natural Shapes
Fractal geometry in nature is the study of irregular, self-repeating patterns that appear across scales in natural structures, from tree branches to coastlines.
Fermat's Last Theorem: The 358-Year Proof
Fermat's Last Theorem states that no three positive integers can satisfy a^n + b^n = c^n for any integer n greater than 2....
Fibonacci Numbers: Nature's Hidden Sequence
Fibonacci numbers are integers where each equals the sum of the two before it. The pattern links pure mathematics to nature.
Composite Numbers: The Building Blocks of Arithmetic
A composite number is a positive integer greater than 1 that can be divided evenly by at least one number other than 1...
