Who's Who in Twin Prime Research
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Recent papers

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

Showing 15 papers, ranked by the Top 100 standing of their authors then by recency. Authors who appear in the Top 100 are shown in bold.

#TitleAuthorsPublishedBest rank
1Gilbreath's conjecture: a Cramér random model and a deterministic analysisZachary Chase, Zach Hunter, Terence Tao2026-07#4
2A weaker but simpler sieve inequalityJohn B. Friedlander2026-07#7
3Higher order uniformity of the primes and cancellation of the Möbius function in shorter intervalsKaisa Matomäki, Mayank Pandey, Javier Pliego, Joni Teräväinen, Mengdi Wang2026-10#8
4Distribution of random multiplicative functions in short intervals, with proper normalizationAdam J. Harper, Kannan Soundararajan, Max Wenqiang Xu2026-06#15
5Unshared zeros of Dirichlet $L$-functionsWilliam Banks, Kyle Loftus2026-07#26
6Quantitative Gowers uniformity of the primes in intervals of length $X^{5/8+\varepsilon}$Joni Teräväinen2026-10#42
7Biases in the distribution of primes in short intervalsTristan Freiberg2026-09#52
8Long runs of integers with small prime factors and the divisor function of $n!$Tristan Freiberg2026-09#52
9On Sidon sets with squares, cubes and quartics in short intervalsM. Z. Garaev, F. M. Garayev, S. V. Konyagin2026-02#56
10On the largest prime factor of integers in short intervals IIIRunbo Li2026-01#57
11Partial progress towards the large sieve for square moduliStephan Baier2026-05#62
12Diophantine approximation with primes from short intervalsStephan Baier, Sayantan Roy2025-12#62
13Large sieve inequality for sums of Legendre symbols over short intervalsMarc Munsch, Igor Shparlinski, Yu-Chen Sun, Yixiu Xiao2026-04#67
14Discrete dynamics of Eratosthenes sieveFred B. Holt2026-08#76
15Surviving Eratosthenes sieve I: quadratic density and Legendre's conjectureFred B. Holt2026-03#76

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.

#TitleAuthorsYearCitations
1Bounded gaps between primes DOIZhang Yitang2014451
2The Difference Between Consecutive Primes, II DOIRoger C. Baker; Güneş Harman; J. Pintz2001424
3Singular Spectrum Analysis: A New Tool in Time Series AnalysisJames B. Elsner; Anastasios A. Tsonis1996413
4Small gaps between primes DOIJames Maynard2014303
5On the order of magnitude of the difference between consecutive prime numbers DOIHarald Cramér1936285
6On the Coefficients of Power Series Having Exponential Singularities DOIEdward Wright1933278
7Software expedites singular‐spectrum analysis of noisy time series DOIMichael D. Dettinger; Michael Ghil; Christopher M. Strong; William Weibel; Pascal Yiou1995247
8On the difference between consecutive primes DOIM. N. Huxley1971234
9Singular spectrum analysis for time series with missing data DOIDavid H. Schoellhamer2001219
10The Difference Between Consecutive Primes DOIRoger C. Baker; Güneş Harman1996215