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Number theory

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Landmark Math Proof Clears Hurdle in Top Erdős Conjecture

August 3, 2020

Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.

A Number Theorist Who Solves the Hardest Easy Problems

July 1, 2020

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 ‘Useless’ Perspective That Transformed Mathematics

June 9, 2020

Representation theory was initially dismissed. Today, it’s central to much of mathematics.

Mathematician Measures the Repulsive Force Within Polynomials

May 14, 2020

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart.

To Win This Numbers Game, Learn to Avoid Math Patterns

May 7, 2020

Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.

John Conway Solved Mathematical Problems With His Bare Hands

April 20, 2020

The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.

‘Amazing’ Math Bridge Extended Beyond Fermat’s Last Theorem

April 6, 2020

Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world.

How Rational Math Catches Slippery Irrational Numbers

March 10, 2020

Finding the best way to approximate the ever-elusive irrational numbers pits the infinitely large against the infinitely small.

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