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]	[16]	4	34	zb_only	54
4	D. R. Heath-Brown	University of Oxford	GB	[2]	[16]	5	45	zb_only	47
5	M. Ram Murty	Queen's University	CA	[2]	[16]	6	25	zb_only	46
6	Glyn Harman	Royal Holloway University of London	GB	[2]	[16]	7	19	zb_only	44
7	Igor E. Shparlinski	UNSW Sydney	AU	[2]	[16]	8	42	zb_only	46
8	Stephan Baier	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	[2]	[16]	9	14	zb_only	26
9	Yoichi Motohashi	Nihon University	JP	[2]	[16]	10	19	zb_only	-
10	Efthymios Sofos	University of Glasgow	GB	2	8	63	7	all_three	11
11	Etienne Fouvry	Université Paris-Saclay	FR	[2]	16	12	28	oa+zb	45
12	Carl Pomerance	Dartmouth College	US	[2]	[16]	14	39	zb_only	54
13	Paul Pollack	University of Georgia	US	[2]	[16]	15	13	zb_only	18
14	Andrew Granville	Université de Montréal	CA	[2]	15	33	32	oa+zb	39
15	Peter D. T. A. Elliott	University of Colorado Boulder	US	[2]	[19]	18	19	zb_only	57
16	Victor Volfson	-	RU	5	[6]	[108]	0	arxiv_only	-
17	Jie Wu	Centre National de la Recherche Scientifique	FR	[2]	[19]	19	19	zb_only	21
18	Runbo Li	University of Michigan	US	6	[6]	[108]	-	arxiv_only	-
19	Alexander K. Zvonkin	Université de Bordeaux	FR	1	3	153	12	all_three	53
20	Richard A. Mollin	University of Calgary	CA	[2]	[19]	23	18	zb_only	51
21	Gérald Tenenbaum	Institut Élie Cartan de Lorraine	FR	[2]	[19]	24	30	zb_only	50
22	R. C. Vaughan	Pennsylvania State University	US	[2]	[19]	25	35	zb_only	56
23	James Maynard	University of Oxford	GB	[2]	[19]	26	11	zb_only	13
24	Stephan Ramon Garcia	Pomona College	US	3	4	187	27	all_three	23
25	George Greaves	University of Wales	GB	[2]	[19]	29	11	zb_only	-
26	Kaisa Matomäki	University of Turku	FI	[2]	[19]	30	16	zb_only	17
27	Kevin Ford	University of Illinois Urbana-Champaign	US	[2]	[19]	31	-	zb_only	32
28	András Sárközy	Eötvös Loránd University	HU	[2]	[19]	32	31	zb_only	57
29	Peter Sarnak	Princeton University	US	[2]	22	94	57	oa+zb	46
30	Joni Teräväinen	University of Cambridge	GB	[2]	24	87	9	oa+zb	8
31	Harold G. Diamond	University of Illinois Urbana-Champaign	US	[2]	[19]	34	19	zb_only	61
32	Jean‐Marc Deshouillers	Université de Bordeaux	FR	[2]	[19]	35	16	zb_only	54
33	Liangyi Zhao	UNSW Sydney	AU	[2]	[19]	36	14	zb_only	37
34	Terence Tao	University of California, Los Angeles	US	[2]	[19]	38	101	zb_only	30
35	Emmanuel Kowalski	ETH Zurich	CH	[2]	[19]	39	29	zb_only	28
36	Imre Kátai	Eötvös Loránd University	HU	[2]	[19]	40	15	zb_only	60
37	Angel Kumchev	Towson University	US	[2]	[19]	42	12	zb_only	25
38	Dieter Wolke	University of Freiburg	DE	[2]	[19]	43	-	zb_only	57
39	Doychin Tolev	Sofia University "St. Kliment Ohridski"	BG	[2]	[19]	45	10	zb_only	25
40	Jörg Brüdern	University of Göttingen	DE	[2]	53	41	19	oa+zb	38
41	Hugh Lowell Montgomery	University of Michigan	US	[2]	[19]	47	32	zb_only	54
42	Sergey Konyagin	Steklov Mathematical Institute	RU	[2]	[19]	50	28	zb_only	44
43	Hao Pan	Nanjing University of Finance and Economics	CN	[2]	[19]	51	17	zb_only	20
44	E. V. Vakhitova	Voronezh State University	RU	[2]	[19]	52	-	zb_only	-
45	Jürgen G. Hinz	University of Marburg	DE	[2]	[16]	53	3	zb_only	52
46	William D. Banks	University of Missouri	US	[2]	[16]	55	21	zb_only	32
47	Antal Balog	Alfréd Rényi Institute of Mathematics	HU	[2]	[16]	56	18	zb_only	35
48	Hugh C. Williams	University of Calgary	CA	[2]	[16]	58	18	zb_only	57
49	Cécile Dartyge	Université de Lorraine	FR	[2]	[16]	59	11	zb_only	32
50	H. A. Helfgott	Université Paris Cité	FR	[2]	[16]	60	19	zb_only	23
51	Alex Kontorovich	Rutgers University	US	[2]	[16]	61	13	zb_only	19
52	Cameron L. Stewart	University of Waterloo	CA	[2]	[16]	62	20	zb_only	50
53	Philippe Michel	École Polytechnique Fédérale de Lausanne	CH	[2]	52	117	-	oa+zb	31
54	B. V. Levin	Vladimir State Pedagogical Institute	RU	[2]	[16]	69	-	zb_only	-
55	S. Salerno	University of Salerno	IT	[2]	[16]	70	-	zb_only	-
56	Michael Filaseta	University of South Carolina	US	[2]	[16]	74	16	zb_only	42
57	S. W. Graham	Central Michigan University	US	[2]	[16]	75	15	zb_only	49
58	K. Soundararajan	Stanford University	US	[2]	[16]	76	33	zb_only	28
59	Wenguang Zhai	China University of Mining and Technology (Beijing)	CN	[2]	[16]	77	13	zb_only	30
60	Ping Xi	Xi'an Jiaotong University	CN	[2]	[16]	78	9	zb_only	12
61	Jori Merikoski	University of Helsinki	FI	[2]	[16]	79	2	zb_only	5
62	Jean-Marie De Koninck	Université Laval	CA	[2]	[16]	86	10	zb_only	53
63	Sanoli Gun	Institute of Mathematical Sciences	IN	[2]	[16]	95	10	zb_only	20
64	Trevor D. Wooley	Purdue University West Lafayette	US	[2]	[16]	96	28	zb_only	36
65	Alberto Perelli	University of Genoa	IT	[2]	[16]	97	20	zb_only	50
66	Karl-Heinz Indlekofer	Paderborn University	DE	[2]	[16]	98	10	zb_only	56
67	Koichi Kawada	Iwate University	JP	[2]	[16]	99	9	zb_only	32
68	S. I. Dimitrov	Technical University of Sofia	BG	[2]	[16]	100	6	zb_only	-
69	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	[2]	[16]	101	5	zb_only	25
70	Lilu Zhao	Jimei University	CN	[2]	[16]	110	10	zb_only	37
71	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	[2]	[16]	112	24	zb_only	35
72	Yong-Gao Chen	Nanjing Normal University	CN	[2]	[18]	113	-	zb_only	34
73	Imre Z. Ruzsa	Alfréd Rényi Institute of Mathematics	HU	[2]	[18]	114	33	zb_only	47
74	Stanley Yao Xiao	University of Northern British Columbia	CA	[2]	[18]	115	-	zb_only	10
75	P. Moree	Max Planck Institute for Mathematics	DE	[2]	[18]	116	20	zb_only	33
76	Régis de la Bretèche	Université Paris Cité	FR	[2]	[18]	128	14	zb_only	30
77	Greg Martin	University of British Columbia	CA	[2]	[18]	129	16	zb_only	29
78	M. Nair	University of Glasgow	GB	[2]	[18]	130	-	zb_only	-
79	A. J. Irving	-	GB	[2]	[18]	131	-	zb_only	12
80	Timothy S. Trudgian	Australian National University	AU	[2]	[18]	132	13	zb_only	16
81	Shenggang Xie	-	CN	[2]	[18]	133	-	zb_only	-
82	Xiaodong Lü	Yangzhou University	CN	[2]	[15]	149	-	zb_only	-
83	Tamar Ziegler	Hebrew University of Jerusalem	IL	[2]	[15]	151	14	zb_only	23
84	L. Hajdu	University of Debrecen	HU	[2]	[15]	152	15	zb_only	28
85	Alexander Dunn	Georgia Institute of Technology	US	[2]	[15]	155	-	zb_only	6
86	Anitha Srinivasan	Saint Louis University Madrid	ES	[2]	[15]	156	6	zb_only	31
87	Jesse Thorner	University of Illinois Urbana-Champaign	US	[2]	[15]	157	9	zb_only	10
88	Daniel Loughran	University of Bath	GB	[2]	[15]	158	11	zb_only	15
89	Víctor Julio Ramírez Viñas	Simon Bolivar University	ES	[2]	[15]	159	2	zb_only	-
90	Emre Alkan	Koç University	TR	[2]	[15]	160	13	zb_only	23
91	Lasse Grimmelt	University of Cambridge	GB	[2]	[15]	161	2	zb_only	7
92	G. K. Viswanadham	Indian Institute of Science Education and Research Berhampur	IN	[2]	[15]	162	4	zb_only	11
93	Maksym Radziwiłł	Northwestern University	US	[2]	[16]	170	17	zb_only	13
94	Yuchen Ding	Yangzhou University	CN	[2]	[18]	180	8	zb_only	-
95	Alex Gamburd	City University of New York	US	[2]	[18]	184	17	zb_only	27
96	Stéphane R. Louboutin	Aix-Marseille University	FR	[2]	[18]	185	18	zb_only	39
97	Eira J. Scourfield	Royal Holloway University of London	GB	[2]	[18]	189	6	zb_only	64
98	Hourong Qin	Nanjing University	CN	[2]	[18]	190	-	zb_only	34
99	Timothy Foo	Nanyang Technological University	SG	[2]	[18]	191	3	zb_only	15
100	Fernando Chamizo	Universidad Autónoma de Madrid	ES	[2]	[18]	192	13	zb_only	32

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`	88
`oa+zb`	6
`all_three`	4
`arxiv_only`	2

Limitations

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