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	John B. Friedlander	University of Toronto	CA	[2]	[16]	4	34	zb_only	54
3	D. R. Heath-Brown	University of Oxford	GB	[2]	[16]	5	45	zb_only	47
4	M. Ram Murty	Queen's University	CA	[2]	[16]	6	25	zb_only	46
5	Glyn Harman	Royal Holloway University of London	GB	[2]	[16]	7	19	zb_only	44
6	Stephan Baier	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	[2]	[16]	8	14	zb_only	26
7	Igor E. Shparlinski	UNSW Sydney	AU	[2]	[16]	9	42	zb_only	46
8	Efthymios Sofos	University of Rome Tor Vergata	IT	2	6	63	7	all_three	11
9	Yoichi Motohashi	Nihon University	JP	[2]	[16]	10	19	zb_only	-
10	Etienne Fouvry	Université Paris-Saclay	FR	[2]	16	12	28	oa+zb	45
11	Carl Pomerance	Dartmouth College	US	[2]	[16]	14	39	zb_only	54
12	Paul Pollack	University of Georgia	US	[2]	[16]	15	13	zb_only	18
13	Andrew Granville	Université de Montréal	CA	[2]	15	33	32	oa+zb	39
14	Peter D. T. A. Elliott	University of Colorado Boulder	US	[2]	[19]	18	19	zb_only	57
15	Runbo Li	The High School Affiliated to Renmin University of China	CN	5	[4]	[109]	-	arxiv_only	-
16	Jie Wu	Université Paris-Est Créteil Val-de-Marne	FR	[2]	[19]	19	19	zb_only	36
17	Alexander K. Zvonkin	Université de Bordeaux	FR	1	3	155	12	all_three	53
18	Gérald Tenenbaum	Institut Élie Cartan de Lorraine	FR	[2]	[19]	24	30	zb_only	50
19	R. C. Vaughan	Pennsylvania State University	US	[2]	[19]	26	35	zb_only	56
20	James Maynard	University of Oxford	GB	[2]	[19]	27	11	zb_only	13
21	Stephan Ramon Garcia	Pomona College	US	3	4	189	27	all_three	23
22	Kaisa Matomäki	University of Turku	FI	[2]	[19]	30	16	zb_only	17
23	Kevin Ford	University of Illinois Urbana-Champaign	US	[2]	[19]	31	-	zb_only	32
24	András Sárközy	Eötvös Loránd University	HU	[2]	[19]	32	31	zb_only	57
25	Peter Sarnak	Princeton University	US	[2]	22	94	57	oa+zb	46
26	Joni Teräväinen	University of Cambridge	GB	[2]	24	88	9	oa+zb	8
27	Harold G. Diamond	University of Illinois Urbana-Champaign	US	[2]	[19]	34	19	zb_only	61
28	Jean‐Marc Deshouillers	Université de Bordeaux	FR	[2]	[19]	35	16	zb_only	54
29	Liangyi Zhao	UNSW Sydney	AU	[2]	[19]	36	14	zb_only	23
30	Terence Tao	University of California, Los Angeles	US	[2]	[19]	38	101	zb_only	30
31	Emmanuel Kowalski	ETH Zurich	CH	[2]	[19]	39	29	zb_only	28
32	Imre Kátai	Eötvös Loránd University	HU	[2]	[19]	41	15	zb_only	60
33	Angel Kumchev	Towson University	US	[2]	[19]	42	12	zb_only	25
34	Doychin Tolev	Sofia University "St. Kliment Ohridski"	BG	[2]	[19]	45	10	zb_only	25
35	Jörg Brüdern	University of Göttingen	DE	[2]	56	40	19	oa+zb	38
36	Hugh Lowell Montgomery	University of Michigan	US	[2]	[19]	47	32	zb_only	54
37	Sergey Konyagin	Steklov Mathematical Institute	RU	[2]	[19]	50	28	zb_only	44
38	Hao Pan	Nanjing University of Finance and Economics	CN	[2]	[19]	51	17	zb_only	20
39	E. V. Vakhitova	Voronezh State University	RU	[2]	[19]	52	-	zb_only	-
40	Jürgen G. Hinz	University of Marburg	DE	[2]	[19]	53	3	zb_only	52
41	William D. Banks	University of Missouri	US	[2]	[16]	55	21	zb_only	32
42	Antal Balog	Alfréd Rényi Institute of Mathematics	HU	[2]	[16]	56	18	zb_only	35
43	Hugh C. Williams	University of Calgary	CA	[2]	[16]	58	18	zb_only	57
44	Cécile Dartyge	Université de Lorraine	FR	[2]	[16]	59	11	zb_only	32
45	H. A. Helfgott	Université Paris Cité	FR	[2]	[16]	60	19	zb_only	23
46	Alex Kontorovich	Rutgers University	US	[2]	[16]	61	13	zb_only	19
47	Cameron L. Stewart	University of Waterloo	CA	[2]	[16]	62	20	zb_only	50
48	S. Salerno	University of Salerno	IT	[2]	[16]	69	-	zb_only	-
49	Philippe Michel	École Polytechnique Fédérale de Lausanne	CH	[2]	55	118	-	oa+zb	31
50	Michael Filaseta	University of South Carolina	US	[2]	[16]	74	16	zb_only	42
51	S. W. Graham	Central Michigan University	US	[2]	[16]	75	15	zb_only	49
52	K. Soundararajan	Stanford University	US	[2]	[16]	76	33	zb_only	28
53	Wenguang Zhai	China University of Mining and Technology (Beijing)	CN	[2]	[16]	77	13	zb_only	30
54	Ping Xi	Xi'an Jiaotong University	CN	[2]	[16]	78	9	zb_only	12
55	Jori Merikoski	University of Helsinki	FI	[2]	[16]	79	2	zb_only	5
56	Jean-Marie De Koninck	Université Laval	CA	[2]	[16]	87	10	zb_only	53
57	Sanoli Gun	Institute of Mathematical Sciences	IN	[2]	[16]	95	10	zb_only	20
58	Trevor D. Wooley	Purdue University West Lafayette	US	[2]	[16]	96	28	zb_only	36
59	Alberto Perelli	University of Genoa	IT	[2]	[16]	97	20	zb_only	50
60	Karl-Heinz Indlekofer	Paderborn University	DE	[2]	[16]	98	10	zb_only	56
61	Koichi Kawada	Iwate University	JP	[2]	[16]	99	9	zb_only	32
62	S. I. Dimitrov	Technical University of Sofia	BG	[2]	[16]	100	6	zb_only	-
63	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	[2]	[16]	101	5	zb_only	25
64	Lilu Zhao	University of Science and Technology of China	CN	[2]	[16]	110	10	zb_only	23
65	Greg Martin	University of British Columbia	CA	[2]	[16]	112	16	zb_only	29
66	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	[2]	[18]	113	24	zb_only	35
67	Yong-Gao Chen	Nanjing Normal University	CN	[2]	[18]	114	-	zb_only	34
68	Imre Z. Ruzsa	Alfréd Rényi Institute of Mathematics	HU	[2]	[18]	115	33	zb_only	47
69	Stanley Yao Xiao	University of Northern British Columbia	CA	[2]	[18]	116	-	zb_only	10
70	P. Moree	Max Planck Institute for Mathematics	DE	[2]	[18]	117	20	zb_only	33
71	Régis de la Bretèche	Université Paris Cité	FR	[2]	[18]	130	14	zb_only	30
72	M. Nair	-	GB	[2]	[18]	131	-	zb_only	-
73	A. J. Irving	-	GB	[2]	[18]	132	-	zb_only	12
74	Timothy S. Trudgian	UNSW Canberra	AU	[2]	[18]	133	13	zb_only	16
75	Shenggang Xie	University of Science and Technology of China	CN	[2]	[22]	134	-	zb_only	-
76	Xiaodong Lü	Yangzhou University	CN	[2]	[14]	150	-	zb_only	-
77	Tamar Ziegler	Hebrew University of Jerusalem	IL	[2]	[14]	153	14	zb_only	23
78	L. Hajdu	University of Debrecen	HU	[2]	[14]	154	15	zb_only	28
79	Alexander Dunn	Georgia Institute of Technology	US	[2]	[14]	157	-	zb_only	6
80	Anitha Srinivasan	Saint Louis University Madrid	ES	[2]	[14]	158	6	zb_only	31
81	Jesse Thorner	University of Illinois Urbana-Champaign	US	[2]	[14]	159	9	zb_only	10
82	Daniel Loughran	University of Bath	GB	[2]	[14]	160	11	zb_only	15
83	Víctor Julio Ramírez Viñas	Simon Bolivar University	ES	[2]	[14]	161	2	zb_only	-
84	Emre Alkan	Koç University	TR	[2]	[14]	162	13	zb_only	23
85	Lasse Grimmelt	University of Cambridge	GB	[2]	[14]	163	2	zb_only	7
86	G. K. Viswanadham	Indian Institute of Science Education and Research Berhampur	IN	[2]	[16]	164	4	zb_only	11
87	Maksym Radziwiłł	Northwestern University	US	[2]	[16]	172	17	zb_only	13
88	Yuchen Ding	Yangzhou University	CN	[2]	[18]	181	8	zb_only	-
89	Alex Gamburd	City University of New York	US	[2]	[18]	186	17	zb_only	27
90	Stéphane R. Louboutin	Aix-Marseille University	FR	[2]	[18]	187	18	zb_only	39
91	Eira J. Scourfield	Royal Holloway University of London	GB	[2]	[18]	191	6	zb_only	64
92	Hourong Qin	Nanjing University	CN	[2]	[18]	192	-	zb_only	34
93	Timothy Foo	Nanyang Technological University	SG	[2]	[18]	193	3	zb_only	15
94	Fernando Chamizo	Universidad Autónoma de Madrid	ES	[2]	[22]	195	13	zb_only	32
95	Kostadinka Lapkova	-	AT	[2]	[22]	196	6	zb_only	14
96	Marc Munsch	Institut Camille Jordan	FR	[2]	[22]	197	9	zb_only	13
97	Alisa Sedunova	Purdue University	US	[2]	[22]	198	4	zb_only	9
98	Nick Rome	Graz University of Technology	AT	[2]	[22]	199	2	zb_only	6
99	Habibur Rahaman	Indian Institute of Science Education and Research Kolkata	IN	[2]	[22]	200	-	zb_only	-

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`	89
`oa+zb`	6
`all_three`	3
`arxiv_only`	1

Limitations

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