number-theory

← home · all curves · JSON ↓ curve #273 y2 + xy = x3 − 201769035260418549083594900060734240952308696994802735114305555x + 1151107939141058565733479426024323225135665982951300586808823640527729578307228357301072889377 Witness: 30 independent points - (-4761204159891138283979053265906, 44764265461782973805868732003346421827415264953) - (-14158422539541566469588779426546, 34199834254251…

Christopher Havens came upon his love of math while in solitary confinement. A decade later, he published a paper on number theory in a top mathematics journal.

A flawed paper shakes confidence in the foundations of ‘quantum-proof’ encryption – and highlights the need for a new generation of experts.

Today, people use complex computing networks to search for prime numbers with millions of digits. But early mathematicians were running these calculations by hand.

I’m not a mathematician, so I’d like someone to point out exactly where my reasoning works or breaks. Let φ be the number of all natural numbers. I found a way to map every natural number to a ...

The Riemann Hypothesis (RH) has resisted resolution within classical mathematics for more than a century. This paper argues that RH cannot be settled by classical means because it is not an internal mathematical conjecture. Instead, RH expresses a generative constraint operating at the substrate level of the Assembled Mathematical Layer (AML), the mathematical world model produced under Generativ…

Representing a significant milestone in AI-assisted mathematical research, a team at Axiom Math has automatically verified the proof of a theorem relating to prime numbers—colloquially referred to as the “246 theorem”—for the first time using the company’s AI system AxiomProver. In formal verification, mathematicians task a computer with checking a machine-readable version of a proof. The process…