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PRIMES is in P (2002)  (Make Corrections)  (12 citations)
Manindra Agrawal, Neeraj Kayal, Nitin Saxena



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Abstract: We present an unconditional deterministic polynomial-time algorithm that determines whether an input number is prime or composite. 1 (Update)

Cited by:   More
Algorithm Engineering - Demetrescu, Finocchi, Italiano (2003)   (Correct)
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6.4%:   PRIMES is in P - Agrawal, Kayal, Saxena (2002)   (Correct)

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0.5:   Primality Testing in Polynomial Time - Smid (2003)   (Correct)
0.4:   Primality and Identity Testing via Chinese Remaindering - Agrawal, Biswas (2003)   (Correct)
0.4:   Fast Generation of Prime Numbers and Secure Public-Key.. - Maurer (1994)   (Correct)

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0.5:   Towards a deterministic polynomial-time Primality Test - Kayal, Saxena (2002)   (Correct)
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BibTeX entry:   (Update)

M. Agrawal, N. Kayal and N. Saxena, `PRIMES is in P', Preprint , 2002, 1-9. http://citeseer.ist.psu.edu/article/agrawal02primes.html   More

@misc{ agrawal02primes,
  author = "M. Agrawal and N. Kayal and N. Saxena",
  title = "PRIMES is in P",
  text = "M. Agrawal, N. Kayal and N. Saxena, `PRIMES is in P', Preprint , 2002,
    1-9.",
  year = "2002",
  url = "citeseer.ist.psu.edu/article/agrawal02primes.html" }
Citations (may not include all citations):
145   Introduction to finite fields and their applications (context) - Lidl, Niederreiter - 1986
104   Introduction to Analytic Number Theory (context) - Apostol - 1997
99   Handbook of Theoretical Computer Science (context) - Leeuwen - 1990
92   Riemann's hypothesis and tests for primality (context) - Miller - 1976
78   Probabilistic algorithm for testing primality (context) - Rabin - 1980
66   A fast Monte-Carlo test for primality (context) - Solovay, Strassen - 1977
51   On distinguishing prime numbers from composite numbers (context) - Adleman, Pomerance et al. - 1983
38   Almost all primes can be quickly certified (context) - Goldwasser, Kilian - 1986
34   Every prime has a succinct certificate (context) - Pratt - 1975
24   Modern Computer Algebra (context) - Gathen, Gerhard - 1999
10   A remark on Artin's conjecture (context) - Gupta, Murty - 1984
10   Primality testing and two dimensional Abelian varieties over.. (context) - Adleman, Huang - 1992
8   Artin's conjecture for primitive roots (context) - Heath-Brown - 1986
6   Lecture notes of a conference (context) - Atkin - 1986
5   Primality and identity testing via chinese remaindering - Agrawal, Biswas - 1999
5   The Brun-Titchmarsh Theorem on average (context) - Baker, Harman - 1996
4   Theoreme de Brun-Titchmarsh; application au theoreme de Ferm.. (context) - Fouvry - 1985
3   and Nitin Saxena (context) - Agrawal, Kayal - 2002
3   a has a large prime factor (context) - Goldfeld, number et al. - 1969
3   Primality testing (context) - Bhattacharjee, Pandey - 2001
3   Towards a deterministic polynomialtime test (context) - Kayal, Saxena - 2002
2   On Chebyshev-type inequalities for primes (context) - Nair - 1982
1   Notes on primality test and analysis of AKS (context) - Kalai, Sahai et al. - 2002
1   Note on a number theory function (context) - Carmichael - 1910
1   Primality testing with cyclotomic rings (context) - Lenstra - 2002
1   The Euclidian algorithm for S integers (context) - Gupta, Murty et al. - 1985



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