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D-Index & Metrics

Mathematics

D-Index
46
Citations
10742
World Ranking
1338
National Ranking
602

Carl Pomerance publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Carl Pomerance sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 269 publications — 81st percentile

81% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Carl Pomerance D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Carl Pomerance sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2004 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Carl Pomerance is a researcher affiliated with Dartmouth College in the United States. Their work primarily spans the field of Mathematics, with a particular focus on Algebra and Number Theory. Other notable areas of study include Geometry and Topology, Discrete Mathematics and Combinatorics, Theoretical Computer Science, and Artificial Intelligence.

The scholar's research topics cover a variety of mathematical areas, including:

  • Analytic Number Theory Research
  • History and Theory of Mathematics
  • Limits and Structures in Graph Theory
  • Advanced Mathematical Identities
  • Mathematics and Applications
  • Algebraic Geometry and Number Theory
  • Mathematical Dynamics and Fractals

Frequent collaborators in their research include Samuel S. Wagstaff, Kevin Ford, Sergey Konyagin, Terence Tao, and Andreas Weingartner. These coauthors have contributed to multiple joint publications, indicating ongoing collaborative relationships within the mathematical community.

Pomerance's recent publications reflect a range of mathematical investigations. Noteworthy papers include:

  • Elliptic curves with Galois-stable cyclic subgroups of order 4, 2021, Research in Number Theory
  • An inequality related to the sieve of Eratosthenes, 2023, Journal of Number Theory
  • Corrigendum: Long gaps in sieved sets, 2023, Journal of the European Mathematical Society
  • Long gaps in sieved sets, 2020, Journal of the European Mathematical Society
  • Phi, primorials, and Poisson, 2020, Illinois Journal of Mathematics

Their frequent publication venues show consistent contributions to a variety of respected journals and platforms. Among these are:

  • arXiv (Cornell University)
  • Journal of the European Mathematical Society
  • Journal of Number Theory
  • Notices of the American Mathematical Society
  • Acta Arithmetica

Carl Pomerance has been recognized by peers, evidenced by their designation as a Fellow of the American Mathematical Society in 2013 and as a Fellow of the American Association for the Advancement of Science (AAAS) in 2004.

Best Publications

  • Prime Numbers: A Computational Perspective

    Richard E. Crandall;Carl Pomerance

  • There are infinitely many Carmichael numbers

    William Robert Alford;Andrew Granville;Carl Pomerance

  • On a problem of Oppenheim concerning “factorisatio numerorum”

    E.R Canfield;Paul Erdös;Carl Pomerance

  • On distinguishing prime numbers from composite numbers

    Leonard M. Adleman;Carl Pomerance;Robert S. Rumely

  • Advances in Cryptology — CRYPTO ’87

    Carl Pomerance

  • Factoring integers with the number field sieve

    J. P. Buhler;H. W. Lenstra;Carl Pomerance

  • The pseudoprimes to 25⋅10⁹

    Carl Pomerance;J. L. Selfridge;Samuel S. Wagstaff

  • The quadratic sieve factoring algorithm

    C Pomerance

  • The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums

    Michel L. Lapidus;Carl Pomerance

  • A Tale of Two Sieves

    Carl Pomerance

  • A rigorous time bound for factoring integers

    H. W. Lenstra;Carl Pomerance

  • A search for Wieferich and Wilson primes

    Richard E. Crandall;Karl Dilcher;Carl Pomerance

  • Carmichael's lambda function

    Paul Erdős;Carl Pomerance;Eric Schmutz

  • Fast, Rigorous Factorization and Discrete Logarithm Algorithms

    Carl Pomerance

  • Average case error estimates for the strong probable prime test

    Ivan Damgård;Peter Landrock;Carl Pomerance

  • On the distribution of pseudoprimes

    Carl Pomerance

  • Recent developments in primality testing

    Carl Pomerance

  • A pipeline architecture for factoring large integers with the quadratic sieve algorithm

    Carl Pomerance;J. W. Smith;Randy Tuler

  • On the Normal Behavior of the Iterates Of some Arithmetic Functions

    Paul Erdös;Andew Granvilie;Carl Pomerance;Claudia Spiro

  • Reduction of huge, sparse matrices over finite fields via created catastrophes

    Carl Pomerance;Jeffrey W. Smith

Frequent Co-Authors

Igor E. Shparlinski
Igor E. Shparlinski University of New South Wales
Paul Erdös
Paul Erdös Hungarian Academy of Sciences
András Sárközy
András Sárközy Eötvös Loránd University
Juan A. Garay
Juan A. Garay Texas A&M University
Jeffrey C. Lagarias
Jeffrey C. Lagarias University of Michigan–Ann Arbor
John B. Friedlander
John B. Friedlander University of Toronto
Hendrik W. Lenstra
Hendrik W. Lenstra Leiden University
Andrew Granville
Andrew Granville University of Montreal
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Jeffrey Shallit
Jeffrey Shallit University of Waterloo

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