Who's Who in n2+1 Primes Research
A directory of researchers working on the n2+1 prime conjecture
The n2+1 conjecture asks whether the polynomial n2+1 produces infinitely many prime values: 2, 5, 17, 37, 101, and so on. It is one of Edmund Landau's four classical problems, presented at the 1912 International Congress of Mathematicians. The conjecture is still open.
This site is a reference directory of the researchers most active on the n2+1 conjecture and its surrounding community (polynomial prime values, the Bateman-Horn conjecture, and the Friedlander-Iwaniec method). 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.