06-15-2026, 09:24 AM
Summary
In May 2013, Yitang Zhang — a largely unknown mathematician who had worked at a Subway restaurant to make ends meet — stunned the mathematical world by proving that there are infinitely many pairs of prime numbers separated by at most 70 million, marking the first finite bound ever placed on prime gaps and a major step toward the twin primes conjecture.
This triggered a massive open online collaboration called a Polymath project, organized by Fields Medalist Terence Tao, which drew dozens of participants and rapidly drove the bound down from 70 million to 4,680.
Then in November 2013, postdoctoral researcher James Maynard independently developed a cleverer sieving technique — scoring prime candidates individually rather than collectively — that pushed the bound all the way down to 600 and also proved that bounded clusters of any number of primes occur infinitely often, prompting plans for a new Polymath collaboration to combine both approaches and push the record even lower, though mathematicians acknowledge that proving the full twin primes conjecture (a gap of exactly 2) will likely require a fundamentally new conceptual breakthrough.
ARTICLE
In May 2013, Yitang Zhang — a largely unknown mathematician who had worked at a Subway restaurant to make ends meet — stunned the mathematical world by proving that there are infinitely many pairs of prime numbers separated by at most 70 million, marking the first finite bound ever placed on prime gaps and a major step toward the twin primes conjecture.
This triggered a massive open online collaboration called a Polymath project, organized by Fields Medalist Terence Tao, which drew dozens of participants and rapidly drove the bound down from 70 million to 4,680.
Then in November 2013, postdoctoral researcher James Maynard independently developed a cleverer sieving technique — scoring prime candidates individually rather than collectively — that pushed the bound all the way down to 600 and also proved that bounded clusters of any number of primes occur infinitely often, prompting plans for a new Polymath collaboration to combine both approaches and push the record even lower, though mathematicians acknowledge that proving the full twin primes conjecture (a gap of exactly 2) will likely require a fundamentally new conceptual breakthrough.
ARTICLE
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