Category: Math Breakthroughs
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Every Unsolved Prime Number Problem
Brocard’s Conjecture Twin, Cousin, and Sexy Primes Palindromic Primes Euclid Numbers Goldbach’s Conjecture Brocard’s Conjecture A prime number is a positive whole number that has exactly two divisors: 1 and itself. Pick a prime number greater than 2, like 3. Then take the next prime number after that, in this case read more
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Every Unsolved Geometry Problem that Sounds Easy – Part 2
Five More Geometry Problems That Are Way Harder Than They Look Tripod Packing The Thomson Problem The Levi-Hadwiger Conjecture Heesch’s Problem Kalai’s 3ᵈ Conjecture Tripod Packing Let’s start with a cube existing at some fixed location in 3D space. (This problem can be easier to comprehend if you think of the read more
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Unsolved Problems in Graph Theory Explained
Graph theory has uncovered many secrets of networks and relationships, but some problems remain unsolved. Here are three famous unsolved problems in graph theory, the Total Coloring Conjecture, the Hadwiger Conjecture, and the 1-Factorization Conjecture, and why they continue to puzzle mathematicians. Building Blocks of Graph Theory 1-Factorization Conjecture Unfriendly Partition read more
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Fibonacci and the Birth of Modern Math
Leonardo de Pisa Fundamentally Changed Math Discovering the Fibonacci Series Ancient Indian Discoveries in Sanskrit Texts The Golden Number (Phi, φ) The Golden Spiral From Roman Numerals to Hindu-Arabic Numbers Fascinating Facts About the Fibonacci Sequence Leonardo de Pisa Fundamentally Changed Math mathematics is related to Natural Sciences the result of read more
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Every Method to Complete the Square Explained
Completing the Square: Why It’s Actually About Squares If you’ve ever taken an algebra class, you’ve probably been asked to solve for x. Before you get to quadratic equations, you usually start with linear equations, which are equations that can be put in the form ax + b = 0 for a ≠ 0. Once read more
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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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How Every Dimensions Actually Work (You Probably Didn’t Know)
Every Dimension Explained Zero Dimension (0D) One Dimension (1D) Second Dimension (2D) Third Dimension (3D) Fourth Dimension (4D Spacetime) Higher Dimensions in Mathematics Functional and Infinite Dimensions Fractals and Fractional Dimensions Curved and Warped Dimensions Applications and Modern Theories Every Dimension Explained Zero Dimension (0D) Zero dimension corresponds to the point, read more
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Every Proof That There Are Infinitely Many Primes Explained
What Is a Prime Number? Euclid’s Proof Factorial Proof Erdős’s Proof What Is a Prime Number? Think of a natural number. That is, a number used for counting, like six. Next, think of another natural number, like two. If we calculate 6 / 2, the result is 3. Since 3 is 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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