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]	[18]	1	50	zb_only	54
2	John B. Friedlander	University of Toronto	CA	[2]	[18]	4	34	zb_only	54
3	M. Ram Murty	Queen's University	CA	[2]	[18]	5	25	zb_only	46
4	D. R. Heath-Brown	University of Oxford	GB	[2]	[18]	6	45	zb_only	47
5	Glyn Harman	Royal Holloway University of London	GB	[2]	[18]	7	19	zb_only	44
6	Stephan Baier	Ramakrishna Mission Vivekananda Educational and Research Institute	IN	[2]	[18]	8	14	zb_only	26
7	Igor E. Shparlinski	University of New South Wales	AU	[2]	[18]	9	42	zb_only	46
8	Yoichi Motohashi	Nihon University	JP	[2]	[18]	10	19	zb_only	-
9	Etienne Fouvry	University of Paris-Saclay	FR	[3]	11	12	28	oa+zb	45
10	Efthymios Sofos	University of Rome Tor Vergata	IT	2	10	62	7	all_three	11
11	Carl Pomerance	Dartmouth College	US	[2]	[18]	14	39	zb_only	54
12	Janos Pintz	Alfréd Rényi Institute of Mathematics	HU	[2]	[18]	16	26	zb_only	50
13	Paul Pollack	University of Georgia	US	[3]	37	15	13	oa+zb	18
14	Peter D. T. A. Elliott	University of Colorado Boulder	US	[2]	[22]	18	19	zb_only	57
15	Runbo Li	The High School Affiliated to Renmin University of China	CN	5	[5]	[109]	-	arxiv_only	-
16	Jie Wu	Université Paris-Est Créteil Val-de-Marne	FR	[2]	[22]	19	19	zb_only	36
17	Alexander K. Zvonkin	University of Bordeaux	FR	1	4	156	12	all_three	53
18	Joni Teräväinen	University of Cambridge	GB	[3]	18	69	9	oa+zb	8
19	Gérald Tenenbaum	Institut Élie Cartan de Lorraine	FR	[2]	[22]	25	30	zb_only	50
20	R. C. Vaughan	Pennsylvania State University	US	[2]	[22]	26	35	zb_only	56
21	Peter Sarnak	Princeton University	US	[3]	16	96	57	oa+zb	46
22	James Maynard	University of Oxford	GB	[2]	[22]	27	11	zb_only	13
23	Stephan Ramon Garcia	Pomona College	US	4	5	195	27	all_three	23
24	Kaisa Matomäki	University of Turku	FI	[2]	[22]	30	16	zb_only	17
25	Kevin Ford	University of Illinois Urbana-Champaign	US	[2]	[22]	31	-	zb_only	32
26	Andrew Granville	Université de Montréal	CA	[3]	30	33	32	oa+zb	39
27	András Sárközy	Eötvös Loránd University	HU	[2]	[22]	32	31	zb_only	57
28	Harold G. Diamond	University of Illinois Urbana-Champaign	US	[2]	[22]	34	19	zb_only	61
29	Terence Tao	University of California, Los Angeles	US	[2]	[22]	35	101	zb_only	30
30	Jean‐Marc Deshouillers	University of Bordeaux	FR	[2]	[22]	36	16	zb_only	54
31	Liangyi Zhao	University of New South Wales	AU	[2]	[22]	37	14	zb_only	23
32	Emmanuel Kowalski	ETH Zurich	CH	[3]	36	39	29	oa+zb	28
33	Philippe Michel	École Polytechnique Fédérale de Lausanne	CH	[3]	27	118	-	oa+zb	31
34	Imre Kátai	Eötvös Loránd University	HU	[2]	[22]	41	15	zb_only	60
35	Jörg Brüdern	University of Göttingen	DE	[3]	39	40	19	oa+zb	38
36	Angel Kumchev	Towson University	US	[2]	[22]	42	12	zb_only	25
37	Hector Pasten	Pontifical Catholic University of Chile	CL	[3]	20	196	8	oa+zb	16
38	Doychin Tolev	Sofia University	BG	[2]	[22]	46	10	zb_only	25
39	Hugh Lowell Montgomery	University of Michigan	US	[2]	[22]	48	32	zb_only	54
40	Sergey Konyagin	Steklov Mathematical Institute	RU	[2]	[22]	50	28	zb_only	44
41	Hao Pan	Nanjing University of Finance and Economics	CN	[2]	[22]	51	17	zb_only	20
42	E. V. Vakhitova	Voronezh State University	RU	[2]	[22]	52	-	zb_only	-
43	Jürgen G. Hinz	University of Marburg	DE	[2]	[22]	53	3	zb_only	52
44	William D. Banks	University of Missouri	US	[2]	[22]	55	21	zb_only	32
45	Antal Balog	Alfréd Rényi Institute of Mathematics	HU	[2]	[18]	56	18	zb_only	35
46	Hugh C. Williams	University of Calgary	CA	[2]	[18]	58	18	zb_only	57
47	Cécile Dartyge	University of Lorraine	FR	[2]	[18]	59	11	zb_only	32
48	H. A. Helfgott	Université Paris Cité	FR	[2]	[18]	60	19	zb_only	23
49	Alex Kontorovich	Rutgers University	US	[2]	[18]	61	13	zb_only	19
50	Cameron L. Stewart	University of Waterloo	CA	[2]	[18]	63	20	zb_only	50
51	S. Salerno	University of Salerno	IT	[2]	[18]	71	-	zb_only	-
52	Michael Filaseta	University of South Carolina	US	[2]	[18]	75	16	zb_only	42
53	S. W. Graham	Central Michigan University	US	[2]	[18]	76	15	zb_only	49
54	K. Soundararajan	Stanford University	US	[2]	[18]	77	33	zb_only	28
55	Wenguang Zhai	China University of Mining and Technology (Beijing)	CN	[2]	[18]	78	13	zb_only	30
56	Ping Xi	Xi'an Jiaotong University	CN	[2]	[18]	79	8	zb_only	12
57	Jori Merikoski	University of Helsinki	FI	[2]	[18]	80	2	zb_only	5
58	Jean-Marie De Koninck	Université Laval	CA	[2]	[18]	88	10	zb_only	53
59	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	[2]	[18]	97	24	zb_only	35
60	Sanoli Gun	Institute of Mathematical Sciences	IN	[2]	[18]	98	10	zb_only	20
61	Trevor D. Wooley	Purdue University West Lafayette	US	[2]	[18]	99	28	zb_only	36
62	Alberto Perelli	University of Genoa	IT	[2]	[18]	100	20	zb_only	50
63	Karl-Heinz Indlekofer	Paderborn University	DE	[2]	[18]	101	10	zb_only	56
64	Koichi Kawada	Iwate University	JP	[2]	[18]	102	9	zb_only	32
65	S. I. Dimitrov	Technical University of Sofia	BG	[2]	[19]	103	6	zb_only	-
66	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	[2]	[19]	104	5	zb_only	25
67	Lilu Zhao	University of Science and Technology of China	CN	[2]	[19]	111	10	zb_only	23
68	Greg Martin	University of British Columbia	CA	[2]	[20]	113	16	zb_only	29
69	Yong-Gao Chen	Nanjing Normal University	CN	[2]	[20]	114	-	zb_only	34
70	Imre Z. Ruzsa	Alfréd Rényi Institute of Mathematics	HU	[2]	[20]	115	33	zb_only	47
71	Stanley Yao Xiao	University of Northern British Columbia	CA	[2]	[19]	116	-	zb_only	10
72	P. Moree	Max Planck Institute for Mathematics	DE	[2]	[19]	117	20	zb_only	33
73	Régis de la Bretèche	Université Paris Cité	FR	[2]	[19]	131	14	zb_only	30
74	M. Nair	-	GB	[2]	[19]	132	-	zb_only	-
75	A. J. Irving	-	GB	[2]	[19]	133	-	zb_only	12
76	Timothy S. Trudgian	UNSW Canberra	AU	[2]	[18]	134	13	zb_only	16
77	Shenggang Xie	University of Science and Technology of China	CN	[2]	[18]	135	-	zb_only	-
78	Xiaodong Lü	Yangzhou University	CN	[2]	[16]	151	-	zb_only	-
79	Tamar Ziegler	Hebrew University of Jerusalem	IL	[2]	[16]	154	14	zb_only	23
80	L. Hajdu	University of Debrecen	HU	[2]	[16]	155	15	zb_only	28
81	Alexander Dunn	Georgia Institute of Technology	US	[2]	[16]	158	-	zb_only	6
82	Sunil L. Naik	Max Planck Institute for Mathematics	DE	[2]	[16]	159	2	zb_only	3
83	Anitha Srinivasan	Saint Louis University Madrid	ES	[2]	[16]	160	6	zb_only	31
84	Jesse Thorner	University of Illinois Urbana-Champaign	US	[2]	[16]	161	9	zb_only	10
85	Daniel Loughran	University of Bath	GB	[2]	[16]	162	11	zb_only	15
86	Víctor Julio Ramírez Viñas	Simon Bolivar University	ES	[2]	[17]	163	2	zb_only	-
87	Emre Alkan	Koç University	TR	[2]	[17]	164	13	zb_only	23
88	Lasse Grimmelt	University of Cambridge	GB	[2]	[17]	165	2	zb_only	7
89	G. K. Viswanadham	Indian Institute of Science Education and Research Berhampur	IN	[2]	[17]	166	4	zb_only	11
90	Maksym Radziwiłł	Northwestern University	US	[2]	[20]	175	17	zb_only	13
91	Yuchen Ding	Yangzhou University	CN	[2]	[19]	186	8	zb_only	-
92	Alex Gamburd	City University of New York	US	[2]	[19]	192	17	zb_only	27
93	Stéphane R. Louboutin	Aix-Marseille University	FR	[2]	[19]	193	18	zb_only	39
94	Eira J. Scourfield	Royal Holloway University of London	GB	[2]	[18]	198	6	zb_only	64
95	Robert J. Lemke Oliver	University of Wisconsin-Madison	US	[2]	[18]	199	11	zb_only	13
96	Hourong Qin	Nanjing University	CN	[2]	[17]	200	-	zb_only	34

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`	83
`oa+zb`	9
`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.