Category: Unsolved Problems
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Every Unsolved Geometry Problem that Sounds Easy
Five Geometry Problems That Look Simple but Remain Unsolved Square Packing Bellman’s Lost in a Forest Problem Ulam’s Packing Conjecture Lebesgue’s Universal Covering Problem Moser’s Worm Problem Kobon’s Triangle Problem Five Geometry Problems That Look Simple but Remain Unsolved Square Packing A unit square is a square with a side length read more
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Every Unsolved Math Problem that Sounds Easy – Part 2
Six Deceptively Simple Unsolved Problems in Mathematics Mersenne Primes Perfect Numbers The Rational Distance Problem The Moving Sofa Problem The Inscribed Square Problem The Ramsey Theory Problem Six Deceptively Simple Unsolved Problems in Mathematics Mersenne Primes One unsolved problem in mathematics concerns whether or not there are infinitely many Mersenne primes. read more
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The Kissing Number Problem Explained
A broad category of problems in math are called sphere packing problems. They range from pure math to practical questions like figuring out how to stack fruit at the grocery store. Some of these problems have solutions, but others, like the kissing number problem, are still tricky. What Is a Kissing read more
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Every Unsolved Circle Problem that Sounds Easy
Five Circle Problems That Are Way Harder Than They Look The Erdős-Oler Conjecture The Gauss Circle Problem The Kissing Number Problem Unequal Circle Packing Sendov’s Conjecture The Erdős-Oler Conjecture A unit circle is a circle whose radius (the distance from the center to the edge) is 1. An equilateral triangle read more
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Unsolved Math Problems in Calculus That Sound Easy
The Casas-Alvero Conjecture The Riemann Hypothesis Navier-Stokes Existence and Smoothness The Jacobian Conjecture The Casas-Alvero Conjecture If an integer k can be expressed as the product of two integers m and n, then m and n are called factors of k. A common factor of two integers is a factor shared read more
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Unsolved Math Problems That Took Centuries to Solve
Famous Math Problems That Took Centuries to Solve Squaring the Circle Euler’s Sum of Powers Conjecture The Four Color Map Theorem Legendre’s Constant Fermat’s Last Theorem Squaring the Circle We begin with a sheet of paper, a pencil, and only two other tools. The first is a straight edge, a ruler read more
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Every Core Math Concept Explained
Terminological precision in mathematics is not a mere formality but has profound consequences for the logical structure and understanding of mathematical theories. In the mathematical and scientific field, the concepts of principles and laws play a fundamental role in the formulation of knowledge. Although both terms are often used interchangeably in everyday language, in the read more
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Every Unsolved Problem in Discrete Mathematics that sounds Easy
The Riemann Hypothesis The Navier-Stokes Problem The P versus NP Problem The Collatz Conjecture The Goldbach Conjecture The Riemann Hypothesis The Riemann hypothesis is one of the unsolved cornerstones of analytic number theory. Formulated by Bernhard Riemann in 1859, it states that all non-trivial zeros of the Riemann zeta function, denoted read more
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Simple Math Problems with Hard Solutions
Six Famous Math Problems That Are Harder Than They Look The Prisoner Hat Problem Ten prisoners are put to a test. If they pass, they’ll be freed. They’ll be placed in a single-file line in size order, each seeing only those ahead. Each person will wear a randomly assigned black or white hat and won’t read more
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Every Unsolved Math Problem Solved
The Poincaré Conjecture Trisecting an Angle The Classification of Finite Simple Groups The Four Color Theorem The Continuum Hypothesis Fermat’s Last Theorem Gödel’s Incompleteness Theorems The Prime Number Theorem Solving Polynomials by Radicals The Poincaré Conjecture Henri Poincaré. Public domain, via Wikimedia Commons In 2000, the Clay Mathematics Institute, a nonprofit read more
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