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Recent papers

Recent papers on the n2+1 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
1The Bateman-Horn conjecture on average for generalized von Mangoldt FunctionsEfthymios Sofos2026-06#8
2Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1Tim Browning, Efthymios Sofos, Joni Teräväinen2022-12#8
3Schinzel Hypothesis on average and rational pointsAlexei N. Skorobogatov, Efthymios Sofos2020-05#8
4Cyclotomic polynomials with prescribed height and prime number theoryAlexandre Kosyak, Pieter Moree, Efthymios Sofos, Bin Zhang2019-10#8
5Rational points and prime values of polynomials in moderately many variablesKevin Destagnol, Efthymios Sofos2018-01#8
6Level of distribution of unbalanced convolutionsÉtienne Fouvry, Maksym Radziwiłł2018-11#10
7On the exponent of distribution of the ternary divisor functionÉtienne Fouvry, Emmanuel Kowalski, Philippe Michel2013-04#10
8Fibonacci primes, primes of the form $2^n-k$ and beyondJon Grantham, Andrew Granville2023-07#13
9An average Brun-Titchmarsh theorem and shifted primes with a large prime factorRunbo Li2025-08#15
10Largest square divisors of shifted primesRunbo Li2025-05#15
11On the largest prime factor of quadratic polynomialsRunbo Li2024-06#15
12A number-theoretic problem concerning pseudo-real Riemann surfacesGareth A. Jones, Alexander K. Zvonkin2023-12#17
13Orders of simple groups and the Bateman--Horn ConjectureGareth A. Jones, Alexander K. Zvonkin2022-09#17
14Groups of prime degree and the Bateman-Horn ConjectureGareth A. Jones, Alexander K. Zvonkin2021-06#17
15Block designs and prime values of polynomialsGareth A. Jones, Alexander K. Zvonkin2021-05#17

Most cited (all time)

The ten most-cited Mathematics works on the n2+1 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
1Almost-primes represented by quadratic polynomials DOIHenryk Iwaniec1978136
2Primes represented by quadratic polynomials in two variables DOIHenryk Iwaniec197455
3Mean values of Dirichlet polynomials and applications to linear equations with prime variables DOIStephen Choi; Angel Kumchev200637
4Primes represented by irreducible polynomials in one variable DOIPaul T. Bateman; Roger A. Horn196531
5New quadratic polynomials with high densities of prime values DOIMichael J. Jacobson; Hugh C. Williams200229
6Primes are nonnegative values of a polynomial in 10 variables DOIYu. V. Matijasevič198127
7On prime valued polynomials and class numbers of real quadratic fields DOIR. A. Mollin; Hywel C Williams198827
8Polynomial values free of large prime factors DOICécile Dartyge; Gérald Tenenbaum; Greg Martin200225
9Quadratic polynomials which have a high density of prime values DOIGilbert Fung; Hywel C Williams199024
10Almost-primes represented by quadratic polynomials DOIRobert J. Lemke Oliver201124