The Top 100

Researchers active on Goldbach 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
Cit citation-influence rank: how many works in the literature on this conjecture cite them, by reference or by name
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 rank a researcher by their own papers, and the Cit column ranks how often the literature cites them ; the score is the geometric mean of the Cit rank and the combined paper rank, so a researcher needs both to rank high. Researchers with work on the problem, or cited by work on it, are listed first. 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	Cit	h	Source	YSP
1	R. C. Vaughan	Pennsylvania State University	US	[45]	141	3	1	35	oa+zb	56
2	Trevor D. Wooley	Purdue University West Lafayette	US	1	11	1	21	28	all_three	36
3	Janos Pintz	Alfréd Rényi Institute of Mathematics	HU	8	22	5	10	26	all_three	50
4	Jörg Brüdern	University of Göttingen	DE	134	20	2	15	19	all_three	38
5	D. R. Heath-Brown	University of Oxford	GB	54	174	8	11	45	all_three	47
6	Jianya Liu	Shandong University	CN	[52]	[105]	11	14	19	zb_only	31
7	Terence Tao	University of California, Los Angeles	US	7	34	62	23	101	all_three	30
8	Henryk Iwaniec	Rutgers University	US	138	111	23	8	50	all_three	54
9	Angel Kumchev	Towson University	US	44	103	19	13	12	all_three	25
10	Glyn Harman	Royal Holloway University of London	GB	[50]	[105]	15	16	19	zb_only	44
11	Hugh Lowell Montgomery	University of Michigan	US	[54]	[107]	103	7	32	zb_only	54
12	Daniel A. Goldston	San Jose State University	US	10	63	17	52	21	all_three	45
13	Roger C. Baker	Brigham Young University	US	42	151	13	30	23	all_three	55
14	Hongze Li	Shanghai Jiao Tong University	CN	[51]	[105]	14	37	-	zb_only	36
15	Andrew Granville	Université de Montréal	CA	23	52	91	32	32	all_three	39
16	Jinjiang Li	China University of Mining and Technology (Beijing)	CN	3	10	24	176	6	all_three	-
17	Tao Zhan	Shandong University	CN	[50]	[104]	54	22	16	zb_only	39
18	Koichi Kawada	Iwate University	JP	[51]	[98]	16	42	9	zb_only	32
19	Alessandro Languasco	University of Padua	IT	62	[96]	7	54	12	arx+zb	30
20	Ben Green	University of Oxford	GB	25	[97]	135	29	5	arx+zb	23
21	Alessandro Zaccagnini	University of Parma	IT	36	[91]	12	61	14	arx+zb	32
22	Enrico Bombieri	Institute for Advanced Study	US	[54]	[90]	[53]	27	42	cite_only	63
23	John B. Friedlander	University of Toronto	CA	91	113	47	25	34	all_three	54
24	Tianze Wang	Henan Academy of Sciences	CN	[54]	[98]	6	63	2	zb_only	35
25	Yingchun Cai	Tongji University	CN	[52]	[96]	9	64	11	zb_only	31
26	Kaisa Matomäki	University of Turku	FI	15	76	35	70	16	all_three	17
27	Alberto Perelli	University of Genoa	IT	[50]	180	37	33	20	oa+zb	50
28	Guangshi Lü	Shandong University	CN	[47]	169	18	46	17	oa+zb	22
29	Zhixin Liu	Tianjin University	CN	[51]	[96]	27	47	-	zb_only	15
30	Doychin Tolev	Sofia University	BG	50	164	31	39	10	all_three	25
31	Min Zhang	Beijing Information Science and Technology University	CN	4	[96]	28	124	6	arx+zb	-
32	Lilu Zhao	University of Science and Technology of China	CN	171	[106]	38	36	10	arx+zb	23
33	M. N. Huxley	Cardiff University	GB	[55]	[103]	[62]	40	23	cite_only	56
34	Jie Wu	Université Paris-Est Créteil Val-de-Marne	FR	160	[108]	20	48	19	arx+zb	36
35	Jean‐Marc Deshouillers	University of Bordeaux	FR	[54]	[96]	32	58	16	zb_only	54
36	Igor E. Shparlinski	University of New South Wales	AU	13	29	34	142	42	all_three	46
37	Etienne Fouvry	University of Paris-Saclay	FR	149	[119]	42	41	28	arx+zb	45
38	Chaohua Jia	Chinese Academy of Sciences	CN	[53]	[94]	33	68	11	zb_only	39
39	Emmanuel Kowalski	ETH Zurich	CH	118	[108]	76	34	29	arx+zb	28
40	James Maynard	University of Oxford	GB	18	183	93	62	11	all_three	13
41	Antal Balog	Alfréd Rényi Institute of Mathematics	HU	[49]	[96]	66	49	18	zb_only	35
42	Jan-Christoph Schlage-Puchta	University of Rostock	DE	199	[119]	72	35	11	arx+zb	29
43	Xuancheng Shao	University of Kentucky	US	5	77	139	103	10	all_three	12
44	Joni Teräväinen	University of Cambridge	GB	2	40	120	159	9	all_three	8
45	Siegfried Herzog	Penn State Mont Alto	US	[54]	[77]	[63]	59	-	cite_only	-
46	H. A. Helfgott	Université Paris Cité	FR	65	[96]	117	45	19	arx+zb	23
47	Silvio Pardi	INFN Napoli	IT	[54]	[77]	[64]	60	-	cite_only	-
48	Kai-Man Tsang	University of Hong Kong	HK	[50]	[94]	48	67	8	zb_only	42
49	Imre Z. Ruzsa	Alfréd Rényi Institute of Mathematics	HU	[54]	[107]	106	38	33	zb_only	47
50	Tomás Oliveira e Silva	University of Aveiro	PT	[54]	[84]	[64]	65	-	cite_only	-
51	Carl Pomerance	Dartmouth College	US	[52]	[90]	44	77	39	zb_only	54
52	Grigori Kolesnik	California State University Los Angeles	US	[54]	[84]	[65]	66	11	cite_only	55
53	Xiumin Ren	Shandong University	CN	[52]	[96]	78	53	11	zb_only	25
54	M. Ram Murty	Queen's University	CA	[43]	59	26	127	25	oa+zb	46
55	Melvyn B. Nathanson	Lehman College, CUNY	US	[54]	[84]	[67]	73	-	cite_only	54
56	Olivier Ramaré	Aix-Marseille University	FR	104	[92]	40	79	15	arx+zb	35
57	Wenguang Zhai	China University of Mining and Technology (Beijing)	CN	[51]	[90]	45	89	13	zb_only	30
58	András Sárközy	Eötvös Loránd University	HU	[54]	[94]	22	128	31	zb_only	57
59	Claus Bauer	Dolby Laboratories	US	[51]	[90]	56	83	7	zb_only	30
60	Yitang Zhang	University of California, Santa Barbara	US	[55]	[77]	[66]	85	-	cite_only	35
61	Karin Halupczok	Heinrich Heine University Düsseldorf	DE	27	[94]	107	108	5	arx+zb	25
62	H. J. J. te Riele	Centrum Wiskunde & Informatica	NL	[55]	[77]	[66]	88	-	cite_only	50
63	Hao Pan	Nanjing University of Finance and Economics	CN	105	[97]	41	94	17	arx+zb	20
64	Jörg Richstein	University of Giessen	DE	[58]	[84]	[65]	93	-	cite_only	-
65	Man-Cheung Leung	-	-	[62]	[92]	[64]	101	1	cite_only	-
66	Yannick Saouter	IMT Atlantique	FR	[62]	[84]	[65]	102	12	cite_only	-
67	Gove Effinger	Skidmore College	US	[62]	[84]	[62]	107	8	cite_only	45
68	K. Soundararajan	Stanford University	US	55	[96]	140	99	33	arx+zb	28
69	Jared Duker Lichtman	Stanford University	US	9	136	[84]	[201]	4	arx+oa	3
70	Hiroshi Mikawa	University of Tsukuba	JP	[56]	[95]	86	92	-	zb_only	36
71	Timothy S. Trudgian	UNSW Canberra	AU	52	[88]	173	109	13	arx+zb	16
72	Lasse Grimmelt	University of Cambridge	GB	17	[87]	[99]	[201]	2	arxiv_only	7
73	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	21	121	64	[201]	24	all_three	35
74	Quanwu Mu	Xian Polytechnic University	CN	[54]	[94]	65	122	5	zb_only	-
75	Liqun Hu	Nanchang University	CN	[47]	[103]	29	[201]	5	zb_only	-
76	William D. Banks	University of Missouri	US	30	92	109	161	21	all_three	32
77	S. W. Graham	Central Michigan University	US	122	[99]	[86]	72	15	arxiv_only	49
78	Alexander P. Mangerel	Durham University	GB	20	116	[76]	[201]	6	arx+oa	8
79	Christian Elsholtz	Graz University of Technology	AT	[55]	[90]	49	152	13	zb_only	28
80	Daniel R. Johnston	Max Planck Institute for Mathematics	DE	12	[101]	125	[201]	4	arx+zb	-
81	Wenchao Lu	-	-	[64]	[84]	[70]	123	2	cite_only	-
82	Wenxu Ge	North China University of Water Resources and Electric Power	CN	[56]	[98]	70	125	4	zb_only	-
83	Kevin Ford	University of Illinois Urbana-Champaign	US	33	[95]	60	[201]	-	arx+zb	32
84	Runbo Li	The High School Affiliated to Renmin University of China	CN	26	[87]	[92]	[201]	-	arxiv_only	-
85	Denis Richard	Université Clermont Auvergne	FR	[64]	[77]	[72]	137	7	cite_only	41
86	Gérald Tenenbaum	Institut Élie Cartan de Lorraine	FR	[58]	[100]	102	100	30	zb_only	50
87	Larry Guth	Massachusetts Institute of Technology	US	[64]	[76]	[73]	140	27	cite_only	21
88	Patrick Cégielski	Université Paris-Est Créteil	FR	[64]	[76]	[74]	145	10	cite_only	36
89	Jori Merikoski	University of Helsinki	FI	24	[98]	122	[201]	2	arx+zb	5
90	Huafeng Liu	Shandong Normal University	CN	[62]	[90]	43	190	8	zb_only	9
91	Maxim Aleksandrovich Vsemirnov	St. Petersburg Department of Steklov Institute of Mathematics	RU	[62]	[76]	[76]	149	11	cite_only	28
92	Xianmeng Meng	Shandong University of Finance and Economics	CN	[60]	[90]	57	163	5	zb_only	-
93	Dimitrii Zinoviev	-	-	[62]	[76]	[78]	151	-	cite_only	29
94	Ciprian Demeter	Indiana University Bloomington	US	71	[84]	[77]	139	15	arxiv_only	22
95	Cem Yalçın Yıldırım	Boğaziçi University	TR	123	[102]	83	115	2	arx+zb	36
96	Adolf Hildebrand	University of Illinois Urbana-Champaign	US	[64]	[77]	[83]	153	19	cite_only	43
97	V. N. Chubarikov	Lomonosov Moscow State University	RU	[47]	[104]	50	[201]	-	zb_only	49
98	Bahman Saffari	University of Paris-Saclay	FR	[68]	[77]	[84]	158	9	cite_only	55
99	Joël Rivat	Aix-Marseille University	FR	[54]	[92]	163	86	19	zb_only	34
100	Peter D. T. A. Elliott	University of Colorado Boulder	US	[59]	[90]	61	184	19	zb_only	57

Source column legend

The Source column records which of the three pipelines ranked each researcher directly. Where a pipeline did not rank someone, the rank shown for that pipeline is an interpolated estimate (in [square brackets]).

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 that arXiv and OpenAlex under-index.
cite_only: ranked only by citation influence: the literature cites them heavily, though they have written few papers on the topic themselves. Often the founders of the field.

Source	Count
`zb_only`	30
`cite_only`	21
`all_three`	20
`arx+zb`	19
`oa+zb`	4
`arxiv_only`	4
`arx+oa`	2

Limitations

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