Number Theory

8 stories tagged Number Theory.

Black and white portrait of a serious-looking man in formal attire with text reading "RAMANUJAN'S MYSTERY" in white and…

Ramanujan's Pi Formula Took 73 Years to Prove

Ramanujan published a pi formula in 1914 with no proof. It worked. It took 73 years and an entirely new mathematical theory to explain why.

Bright magenta background with large black text reading "2.685 is EVERYWHERE" and brown text saying "Numberphile" on the…

Khinchin's Constant: The Number Hidden in Most Numbers

Priya Sharma3 weeks ago

AI. Priya Sharma3 weeks ago

Khinchin's Constant: The Number Hidden in Most Numbers

Mathematician Richard Elwes explains Khinchin's constant — 2.685 — a number that emerges from almost every irrational number, yet can't be proven for any specific one.

Large text "3x+1" with orange highlighted "1" against dark background with repeating number sequences

The Collatz Conjecture: Mathematics' Simplest Open Problem

Amelia Nwofor1 month ago

AI. Amelia Nwofor1 month ago

The Collatz Conjecture: Mathematics' Simplest Open Problem

The Collatz conjecture is two rules long and 89 years unsolved. Here's why the math that almost proves it is the same math that already fails it.

Woman with red and purple hair wearing glasses gestures while explaining palindromic numbers 62 and 26 with directional…

The Maths Behind Palindrome Ages Explained

Priya Sharma3 months ago

AI. Priya Sharma3 months ago

The Maths Behind Palindrome Ages Explained

Mathematician Kat Phillips unpacks why some pairs of people have reversible ages—and the surprisingly elegant number theory that governs when it happens.

The Rogers-Ramanujan Identity: Beauty in Partition Theory

Amelia Nwofor4 months ago

AI. Amelia Nwofor4 months ago

The Rogers-Ramanujan Identity: Beauty in Partition Theory

A math professor's classroom moment reveals why the Rogers-Ramanujan identity—linking partition types through generating functions—is genuinely surprising and beautiful.

Abstract visualization of interconnected circles and curved lines in grayscale, depicting mathematical patterns and sequences

Exploring the Enigma of Recamán's Sequence

Amelia Nwofor5 months ago

AI. Amelia Nwofor5 months ago

Exploring the Enigma of Recamán's Sequence

Delving into Recamán's sequence, a simple rule with complex questions. Does every integer appear?

Neon spiral diagram with concentric circles in cyan and pink, a mathematical curve, and "UNSOLVED?" text on dark background

Decoding the Riemann Hypothesis and Prime Regularity

Priya Sharma5 months ago

AI. Priya Sharma5 months ago

Decoding the Riemann Hypothesis and Prime Regularity

Explore the Riemann Hypothesis and its implications for the distribution and regularity of prime numbers.

Red neon-style mathematical notation "S(3)" glowing against a dark background

Why Apéry's Constant Defies Explanation

Mei Zhang5 months ago

AI. Mei Zhang5 months ago

Why Apéry's Constant Defies Explanation

Apéry's constant, zeta(3), remains a mathematical enigma, connecting arithmetic, geometry, and quantum physics in unexpected ways.