Who's Who in Twin Prime Research
A directory of researchers working on the twin prime conjecture
Twin primes are pairs of primes that differ by 2: (3, 5), (11, 13), (17, 19), and so on. The twin prime conjecture asserts that there are infinitely many such pairs. Stated by de Polignac in 1849, it is one of the oldest open problems in number theory. The conjecture is still open.
This site is a reference directory of the researchers most active on the twin prime conjecture and adjacent problems (bounded gaps between primes, sieve methods, and the prime k-tuples conjecture). It catalogs the Top 100, ranked from arXiv preprint output, OpenAlex citation data, and zbMATH classifications, with their institutions, and offers a curated reading list.
Where to start
- Home: This page.
- The Top 100: the canonical ranked list, sortable and filterable in your browser.
- Locations: where the Top 100 are based, shown by world region with maps.
- Institutions: the institutions ranked three ways: where the Top 100 work today, where they earned their PhDs, and a canonical blend of the two.
- In Memoriam: researchers in this directory who are no longer with us.
- Genealogy: close relations of the Top 100 through advisor-student lineage in the Mathematics Genealogy Project.
- Network: the coauthorship graph among the Top 100: who has written papers with whom.
- Reading List: the recent topical papers ranked by the prominence of their authors in this directory, plus the most-cited papers of all time.
- Overlap: the researchers who also appear across the related conjecture sites.
- About: what this site is, who built it, and where to find the methodology, the open dataset, and how to request a correction.