The Top 100

Researchers active on n²+1 prime conjecture and adjacent problems

Table Details

Columns

# overall rank (lower is better)
Name the researcher
Institution current affiliation
Ctry country
aX arXiv rank
OA OpenAlex rank
zM zbMATH rank
h h-index (citation impact)
Source databases that list them
YSP years since PhD (2026 minus the Math Genealogy PhD year; a dash when the PhD year is not known)

How it works. arXiv, OpenAlex and zbMATH each rank a researcher; the three ranks merge into one, weighted toward each person's strongest. Recent work counts more. Lower is better. Click any header to sort. A rank in [brackets] is an estimate, not measured. Full method.

#	Name	Institution		aX	OA	zM	h	Source	YSP
1	Henryk Iwaniec	Rutgers University	US	[2]	[16]	1	50	zb_only	54
2	Florian Luca	Stellenbosch University	ZA	4	7	2	28	all_three	30
3	John B. Friedlander	University of Toronto	CA	[2]	[19]	4	34	zb_only	54
4	D. R. Heath-Brown	University of Oxford	GB	[2]	[19]	5	45	zb_only	47
5	Glyn Harman	Royal Holloway University of London	GB	[2]	[19]	6	19	zb_only	44
6	Stephan Baier	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	[2]	[19]	7	14	zb_only	26
7	Yoichi Motohashi	Nihon University	JP	[2]	[19]	8	19	zb_only	-
8	Efthymios Sofos	University of Glasgow	GB	2	8	54	7	all_three	11
9	Etienne Fouvry	Université Paris-Saclay	FR	[2]	16	10	28	oa+zb	45
10	Carl Pomerance	Dartmouth College	US	[2]	[19]	12	39	zb_only	54
11	Paul Pollack	University of Georgia	US	[2]	[19]	13	13	zb_only	18
12	Peter D. T. A. Elliott	University of Colorado Boulder	US	[2]	[19]	16	19	zb_only	57
13	Andrew Granville	Université de Montréal	CA	[2]	15	27	32	oa+zb	39
14	Runbo Li	University of Michigan	US	5	[6]	[95]	-	arxiv_only	-
15	Alexander K. Zvonkin	Université de Bordeaux	FR	1	3	136	12	all_three	53
16	Richard A. Mollin	University of Calgary	CA	[2]	[19]	19	18	zb_only	51
17	Gérald Tenenbaum	Institut Élie Cartan de Lorraine	FR	[2]	[19]	20	30	zb_only	50
18	R. C. Vaughan	Pennsylvania State University	US	[2]	[19]	21	35	zb_only	56
19	George Greaves	University of Wales	GB	[2]	[19]	23	11	zb_only	-
20	Kaisa Matomäki	University of Turku	FI	[2]	[19]	24	16	zb_only	17
21	Stephan Ramon Garcia	Pomona College	US	3	4	169	27	all_three	23
22	Kevin Ford	University of Illinois Urbana-Champaign	US	[2]	[19]	25	-	zb_only	32
23	András Sárközy	Eötvös Loránd University	HU	[2]	[19]	26	31	zb_only	57
24	Harold G. Diamond	University of Illinois Urbana-Champaign	US	[2]	[19]	28	19	zb_only	61
25	Jean‐Marc Deshouillers	Université de Bordeaux	FR	[2]	[19]	29	16	zb_only	54
26	Liangyi Zhao	UNSW Sydney	AU	[2]	[19]	30	14	zb_only	37
27	Peter Sarnak	Princeton University	US	[2]	22	83	57	oa+zb	46
28	Emmanuel Kowalski	ETH Zurich	CH	[2]	[19]	32	29	zb_only	28
29	Joni Teräväinen	University of Cambridge	GB	[2]	24	76	9	oa+zb	8
30	Imre Kátai	Eötvös Loránd University	HU	[2]	[19]	33	15	zb_only	60
31	Angel Kumchev	Towson University	US	[2]	[19]	35	12	zb_only	25
32	Dieter Wolke	University of Freiburg	DE	[2]	[16]	36	-	zb_only	57
33	Doychin Tolev	Sofia University "St. Kliment Ohridski"	BG	[2]	[16]	38	10	zb_only	25
34	Hugh Lowell Montgomery	University of Michigan	US	[2]	[16]	39	32	zb_only	54
35	Jörg Brüdern	University of Göttingen	DE	[2]	53	34	19	oa+zb	38
36	Sergey Konyagin	Steklov Mathematical Institute	RU	[2]	[16]	42	28	zb_only	44
37	E. V. Vakhitova	Voronezh State University	RU	[2]	[16]	43	-	zb_only	-
38	Jürgen G. Hinz	University of Marburg	DE	[2]	[16]	44	3	zb_only	52
39	William D. Banks	University of Missouri	US	[2]	[16]	46	21	zb_only	32
40	Antal Balog	Alfréd Rényi Institute of Mathematics	HU	[2]	[16]	47	18	zb_only	35
41	Hugh C. Williams	University of Calgary	CA	[2]	[16]	49	18	zb_only	57
42	Cécile Dartyge	Université de Lorraine	FR	[2]	[16]	50	11	zb_only	32
43	H. A. Helfgott	Université Paris Cité	FR	[2]	[16]	51	19	zb_only	23
44	Alex Kontorovich	Rutgers University	US	[2]	[16]	52	13	zb_only	19
45	Cameron L. Stewart	University of Waterloo	CA	[2]	[16]	53	20	zb_only	50
46	B. V. Levin	Vladimir State Pedagogical Institute	RU	[2]	[16]	60	-	zb_only	-
47	S. Salerno	University of Salerno	IT	[2]	[16]	61	-	zb_only	-
48	Michael Filaseta	University of South Carolina	US	[2]	[16]	64	16	zb_only	42
49	Philippe Michel	École Polytechnique Fédérale de Lausanne	CH	[2]	52	102	-	oa+zb	31
50	S. W. Graham	Central Michigan University	US	[2]	[16]	65	15	zb_only	49
51	K. Soundararajan	Stanford University	US	[2]	[16]	66	33	zb_only	28
52	Ping Xi	Xi'an Jiaotong University	CN	[2]	[16]	67	9	zb_only	12
53	Jori Merikoski	University of Helsinki	FI	[2]	[16]	68	2	zb_only	5
54	Jean-Marie De Koninck	Université Laval	CA	[2]	[16]	75	10	zb_only	53
55	Sanoli Gun	Institute of Mathematical Sciences	IN	[2]	[16]	84	10	zb_only	20
56	Trevor D. Wooley	Purdue University West Lafayette	US	[2]	[16]	85	28	zb_only	36
57	Karl-Heinz Indlekofer	Paderborn University	DE	[2]	[16]	86	10	zb_only	56
58	S. I. Dimitrov	Technical University of Sofia	BG	[2]	[16]	87	6	zb_only	-
59	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	[2]	[16]	88	5	zb_only	25
60	Lilu Zhao	Jimei University	CN	[2]	[16]	96	10	zb_only	37
61	Yong-Gao Chen	Nanjing Normal University	CN	[2]	[16]	98	-	zb_only	34
62	Imre Z. Ruzsa	Alfréd Rényi Institute of Mathematics	HU	[2]	[16]	99	33	zb_only	47
63	Stanley Yao Xiao	University of Northern British Columbia	CA	[2]	[16]	100	-	zb_only	10
64	P. Moree	Max Planck Institute for Mathematics	DE	[2]	[16]	101	20	zb_only	33
65	Régis de la Bretèche	Université Paris Cité	FR	[2]	[18]	113	14	zb_only	30
66	Greg Martin	University of British Columbia	CA	[2]	[18]	114	16	zb_only	29
67	M. Nair	University of Glasgow	GB	[2]	[18]	115	-	zb_only	-
68	A. J. Irving	-	GB	[2]	[18]	116	-	zb_only	12
69	Shenggang Xie	-	CN	[2]	[18]	117	-	zb_only	-
70	Xiaodong Lü	Yangzhou University	CN	[2]	[22]	132	-	zb_only	-
71	A. Lefébure	-	FR	[2]	[22]	133	-	zb_only	-
72	Tamar Ziegler	Hebrew University of Jerusalem	IL	[2]	[22]	134	14	zb_only	23
73	L. Hajdu	University of Debrecen	HU	[2]	[15]	135	15	zb_only	28
74	Alexander Dunn	Georgia Institute of Technology	US	[2]	[15]	138	-	zb_only	6
75	Anitha Srinivasan	Saint Louis University Madrid	ES	[2]	[15]	139	6	zb_only	31
76	Jesse Thorner	University of Illinois Urbana-Champaign	US	[2]	[15]	140	9	zb_only	10
77	Daniel Loughran	University of Bath	GB	[2]	[15]	141	11	zb_only	15
78	Víctor Julio Ramírez Viñas	Simon Bolivar University	ES	[2]	[15]	142	2	zb_only	-
79	Emre Alkan	Koç University	TR	[2]	[15]	143	13	zb_only	23
80	Lasse Grimmelt	University of Cambridge	GB	[2]	[15]	144	2	zb_only	7
81	G. K. Viswanadham	Indian Institute of Science Education and Research Berhampur	IN	[2]	[15]	145	4	zb_only	11
82	Maksym Radziwiłł	Northwestern University	US	[2]	[15]	152	17	zb_only	13
83	Yuchen Ding	Yangzhou University	CN	[2]	[16]	162	8	zb_only	-
84	Alex Gamburd	City University of New York	US	[2]	[16]	166	17	zb_only	27
85	Stéphane R. Louboutin	Aix-Marseille University	FR	[2]	[16]	167	18	zb_only	39
86	Eira J. Scourfield	Royal Holloway University of London	GB	[2]	[18]	171	6	zb_only	64
87	Hourong Qin	Nanjing University	CN	[2]	[18]	172	-	zb_only	34
88	Timothy Foo	Nanyang Technological University	SG	[2]	[18]	173	3	zb_only	15
89	Fernando Chamizo	Universidad Autónoma de Madrid	ES	[2]	[18]	174	13	zb_only	32
90	Marc Munsch	Institut Camille Jordan	FR	[2]	[18]	177	9	zb_only	13
91	Nick Rome	Graz University of Technology	AT	[2]	[18]	178	2	zb_only	6
92	Alisa Sedunova	Purdue University	US	[2]	[18]	179	4	zb_only	9
93	Kostadinka Lapkova	Graz University of Technology	AT	[2]	[18]	180	6	zb_only	14
94	Habibur Rahaman	Indian Institute of Science Education and Research Kolkata	IN	[2]	[18]	181	-	zb_only	-
95	Matteo Bordignon	KTH Royal Institute of Technology	SE	[2]	[18]	182	13	zb_only	5
96	H. J. Weber	University of Virginia	US	[2]	[18]	183	-	zb_only	61

Source column legend

The Source column records which of the pipelines ranked each researcher directly.

all_three: ranked directly by arXiv, OpenAlex, and zbMATH. The unanimous core.
arx+oa: ranked by arXiv and OpenAlex, but not zbMATH.
arx+zb: ranked by arXiv and zbMATH, but not OpenAlex.
oa+zb: ranked by OpenAlex and zbMATH, but not arXiv.
arxiv_only: ranked only by the arXiv pipeline.
oa_only: ranked only by OpenAlex. Often senior figures who publish in journals and do not post preprints.
zb_only: ranked only by zbMATH. Often pre-1995 Russian and Chinese number theorists.

Source	Count
`zb_only`	85
`oa+zb`	6
`all_three`	4
`arxiv_only`	1

Limitations

This list reflects publication output and citation network density, not subjective importance. A starting point, not a verdict.