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Landmark Math Proof Clears Hurdle in Top Erdős Conjecture
Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.
How Physics Found a Geometric Structure for Math to Play With
Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.
Mathematicians Will Never Stop Proving the Prime Number Theorem
Why do mathematicians enjoy proving the same results in different ways?
How Gödel’s Proof Works
His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.
The Math of Social Distancing Is a Lesson in Geometry
How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.
How and Why Computers Roll Loaded Dice
Researchers are one step closer to injecting probability into deterministic machines.
A Number Theorist Who Solves the Hardest Easy Problems
In his rapid ascent to the top of his field, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.
The Tricky Math of Herd Immunity for COVID-19
Herd immunity differs from place to place, and many factors influence how it’s calculated.
New Geometric Perspective Cracks Old Problem About Rectangles
While locked down due to COVID-19, Joshua Greene and Andrew Lobb figured out how to prove a version of the “rectangular peg problem.”