Recent papers

Recent papers on the twin prime conjecture, surfaced by the prominence of their authors in this directory.

Showing 13 papers, ranked by the Top 100 standing of their authors then by recency. Authors who appear in the Top 100 are shown in bold.

#	Title	Authors	Published	Best rank
1	The Exceptional Set in Goldbach's Problem with two Chen Primes	Lasse Grimmelt, Joni Teräväinen	2025-08	#5
2	Rough numbers between consecutive primes	Ayla Gafni, Terence Tao	2025-08	#7
3	On the largest prime factor of integers in short intervals III	Runbo Li	2026-01	#11
4	Diophantine approximation with primes from short intervals	Stephan Baier, Sayantan Roy	2025-12	#16
5	A new class of Correlations insisting on Ramanujan expansions	Giovanni Coppola	2026-02	#18
6	On Sidon sets with squares, cubes and quartics in short intervals	M. Z. Garaev, F. M. Garayev, S. V. Konyagin	2026-02	#26
7	Representations of positive integers by three almost-prime squares	Yue-Feng She, Yu-Chen Sun, Guang-Liang Zhou	2026-06	#33
8	Surviving Eratosthenes sieve I: quadratic density and Legendre's conjecture	Fred B. Holt	2026-03	#56
9	Theorem $(1+1.9)$ on the Goldbach Conjecture	Jiamin Li, Jianya Liu	2026-06	#57
10	A Shiu Theorem for Larger and Smoother Functions	Thomas Wright	2025-08	#67
11	Binomial coefficients with divisors avoiding an interval	Hung M. Bui, Kyle Pratt, Alexandru Zaharescu	2026-05	#74
12	The distribution of prime values of random polynomials	Noah Kravitz, Katharine Woo, Max Wenqiang Xu	2025-12	#83
13	Primes in LCM recurrences	Benoit Cloitre	2025-10	#89

Most cited (all time)

The ten most-cited Mathematics works on the twin prime conjecture, by citation count in OpenAlex. Results are filtered to the Mathematics field (OpenAlex field 26) and ranked by total citations.

The Top 100 ranking is designed to capture prominent, currently active researchers. If an author in this table is not linked to a profile, it is usually because they are deceased or less active than the researchers in the ranking, not because they are less significant to the field.

#	Title	Authors	Year	Citations
1	Bounded gaps between primes DOI	Zhang Yitang	2014	463
2	Irregularities in the distribution of primes and twin primes DOI	Richard P. Brent	1975	55
3	Average twin prime conjecture for elliptic curves DOI	Antal Balog; Alina-Carmen Cojocaru; Chantal David	2011	50
4	Evaluation of Artin’s constant and the twin-prime constant DOI	John W. Wrench	1961	48
5	Chen's double sieve, Goldbach's conjecture and the twin prime problem DOI	Jie Wu	2004	47
6	Bounded gaps between primes with a given primitive root DOI	Paul Pollack	2014	39
7	Distributional Wiener-Ikehara theorem and twin primes DOI	Jacob Korevaar	2005	36
8	Bounded gaps between primes in Chebotarev sets DOI	Jesse Thorner	2014	36
9	New equidistribution estimates of Zhang type, and bounded gaps between primes	D. H. J. Polymath	2014	33
10	Almost‐prime <i>k</i> ‐tuples DOI	D. R. Heath‐Brown	1997	31