- Methodology: how the rankings are built, the sources and weights, and what is deliberately left out.
- Data and citations: the full Top 100 as an open downloadable dataset, plus the DOI and how to cite this site.
- Contact: fix a profile, suggest someone missing, request removal, or just get in touch.
About This Site
Who's Who in Legendre Conjecture Research (wwileg.org) is a bibliometric directory of researchers working on Legendre's conjecture and the surrounding problems of prime distribution in short intervals. It is one of four sister sites built on a shared engine that covers Landau's four 1912 ICM problems and related open questions in prime number theory:
- wwigb.org: Goldbach's conjecture
- wwitp.org: the Twin Prime conjecture
- wwin2p1.org: the n2 + 1 conjecture
- wwileg.org (this site): Legendre's conjecture
All four sites are published under the umbrella project wwilp.org (Who's Who in Landau Problems).
What the rankings measure
Ranking combines three independent bibliometric signals, each normalized to a 0 to 1 score before merging: arXiv preprint coverage (paper count plus co-authorship network centrality), OpenAlex works and citation counts, and zbMATH document counts under MSC classes 11N05 and 11N36. A weighted order-statistic formula (0.70 on the best rank, 0.20 on the second-best, 0.10 on the weakest) produces the composite score shown in the directory. Researchers who appear in only one or two sources receive estimated scores shown in square brackets.
Scope
The directory covers work on Legendre's conjecture directly and on the surrounding community: primes in short intervals, prime gaps, the Baker-Harman-Pintz exponent, the Hoheisel-Ingham-Huxley chain of interval results, the Goldston-Pintz-Yildirim small-gaps theorem, and the Andrica and Oppermann conjectures. Researchers in analytic number theory whose primary focus lies elsewhere (multiplicative functions, elliptic curves, etc.) may appear if their work has been cited in this context; their ranking reflects breadth of citation overlap rather than a claim that they work primarily on Legendre's conjecture.
Data sources and update schedule
Data is drawn from the arXiv mathematics preprint server, OpenAlex, and zbMATH. The ranking is rebuilt periodically; the date shown on the main page reflects the most recent data pull. No claim is made about completeness: researchers who publish primarily in journals not indexed by these sources, or who use terminology outside the search terms listed on the Methodology page, may be underrepresented.