The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
PRIMES is in P
Open accessAbstract
We present an unconditional deterministic polynomial-time algorithm that determines whether an input number is prime or composite.
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Citations
Cites
Introduction to Analytic Number Theory
Apostol, T. M. (1976) · Undergraduate texts in mathematics · doi:10.1007/978-1-4757-5579-4 · Cited by 1,583
Cited by
Advances in quantum cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2020) · Advances in Optics and Photonics · doi:10.1364/aop.361502 · Cited by 2,033
Quantum algorithms for algebraic problems
Childs, A. M., & van Dam, W. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1 · Cited by 344
History of Interactive Theorem Proving
Harrison, J., Urban, J., & Wiedijk, F. (2014) · Handbook of the History of Logic · doi:10.1016/b978-0-444-51624-4.50004-6 · Cited by 107
Metadata
- Authors
- Agrawal, M., Kayal, N., & Saxena, N.
- Venue
- Annals of Mathematics
- Publisher
- Annals of Mathematics
- Published
- 2004-09-01
- Volume
- 160
- Issue
- 2
- Pages
- 781-793
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2159341052
- Cited by
- 931
- References
- 1
- FWCI
- 90.02
- Type
- journal article
- Language
- en
- Open access
- bronze
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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- CoChat. (2026). Citation check: PRIMES is in P. https://app.cochat.ai/papers/10.4007/annals.2004.160.781
- The paper
- Agrawal, M., Kayal, N., & Saxena, N. (2004). PRIMES is in P. Annals of Mathematics. https://doi.org/10.4007/annals.2004.160.781
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
