质数 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "质数" in Chinese language version.

refsWebsite

Global rank Chinese rank

26web.archive.org

1^st place

8utm.edu

1,379^th place

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6doi.org

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23^rd place

4books.google.com

3^rd place

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4ams.org

451^st place

935^th place

2clarku.edu

6,602^nd place

2,392^nd place

2worldcat.org

5^th place

12^th place

2dartmouth.edu

2,242^nd place

1,998^th place

2eff.org

3,285^th place

3,902^nd place

2arxiv.org

69^th place

254^th place

1mersenne.org

low place

1tripod.com

549^th place

1,173^rd place

1jstor.org

26^th place

113^th place

1archive.org

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1wolframalpha.com

4,660^th place

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1ieeta.pt

low place

1numdam.org

8,650^th place

low place

1wolfram.com

513^th place

358^th place

1harvard.edu

18^th place

57^th place

1economist.com

254^th place

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1maa.org

3,479^th place

4,890^th place

1musicoftheprimes.com

low place

ams.org

例如，Beiler寫道，數論學家恩斯特·庫默爾熱愛他的理想數，該數與質數密切相關，「因為這些數沒有被任何實際應用所玷污」。Katz則寫道，愛德蒙·蘭道（他最為人所知的是對質數分佈的相關研究）「厭惡數學的實際應用」，且因為這個理由，規避幾何等已知有所用途之學科。Beiler, Albert H., Recreations in the Theory of Numbers: The Queen of Mathematics Entertains, Dover: 2, 1966 [2015-08-23], ISBN 9780486210964, （原始内容存档于2021-04-17） . Katz, Shaul, Berlin roots—Zionist incarnation: the ethos of pure mathematics and the beginnings of the Einstein Institute of Mathematics at the Hebrew University of Jerusalem, Science in Context, 2004, 17 (1-2): 199–234, MR 2089305, doi:10.1017/S0269889704000092
Hua 2009，第176-177頁. Hua, L.K., Additive Theory of Prime Numbers, Translations of Mathematical Monographs 13, Providence, RI: American Mathematical Society: 176–177, 2009 [1965], ISBN 978-0821849422, MR 0194404, OCLC 824812353
Lang, Serge, Algebra, Graduate Texts in Mathematics 211, Berlin, New York: Springer-Verlag, 2002, ISBN 978-0-387-95385-4, MR 1878556 , Section II.1, p. 90
Eisenbud 1995, section 3.3. Eisenbud, David, Commutative algebra, Graduate Texts in Mathematics 150, Berlin, New York: Springer-Verlag, 1995, ISBN 978-0-387-94268-1, MR 1322960

archive.org

Hardy, Michael; Woodgold, Catherine. Prime Simplicity. Mathematical Intelligencer. 2009, 31 (4): 44–52. doi:10.1007/s00283-009-9064-8.

arxiv.org

（Ben Green & Terence Tao 2008） Green, Ben; Tao, Terence, The primes contain arbitrarily long arithmetic progressions, Annals of Mathematics, 2008, 167 (2): 481–547, arXiv:math.NT/0404188 , doi:10.4007/annals.2008.167.481
Paulo R. A. Campos, Viviane M. de Oliveira, Ronaldo Giro, and Douglas S. Galvão., Emergence of Prime Numbers as the Result of Evolutionary Strategy, Physical Review Letters, 2004, 93 (9): 098107, Bibcode:2004PhRvL..93i8107C, arXiv:q-bio/0406017 , doi:10.1103/PhysRevLett.93.098107.

books.google.com

例如，Beiler寫道，數論學家恩斯特·庫默爾熱愛他的理想數，該數與質數密切相關，「因為這些數沒有被任何實際應用所玷污」。Katz則寫道，愛德蒙·蘭道（他最為人所知的是對質數分佈的相關研究）「厭惡數學的實際應用」，且因為這個理由，規避幾何等已知有所用途之學科。Beiler, Albert H., Recreations in the Theory of Numbers: The Queen of Mathematics Entertains, Dover: 2, 1966 [2015-08-23], ISBN 9780486210964, （原始内容存档于2021-04-17） . Katz, Shaul, Berlin roots—Zionist incarnation: the ethos of pure mathematics and the beginnings of the Einstein Institute of Mathematics at the Hebrew University of Jerusalem, Science in Context, 2004, 17 (1-2): 199–234, MR 2089305, doi:10.1017/S0269889704000092
Serge Tabachnikov. Kvant Selecta Algebra and Analysis. American Mathematical Society. 1999-01-01: 13– [2015-08-25]. ISBN 978-0-8218-1915-9. （原始内容存档于2021-04-17）.
Matiyasevich, Yuri V., Formulas for Prime Numbers, Tabachnikov, Serge (编), Kvant Selecta: Algebra and Analysis, II, American Mathematical Society: 13–24, 1999 [2015-08-23], ISBN 978-0-8218-1915-9, （原始内容存档于2021-04-17）
Tattersall, J.J., Elementary number theory in nine chapters, Cambridge University Press, 2005 [2015-08-23], ISBN 978-0-521-85014-8, （原始内容存档于2020-03-21） , p. 112

clarku.edu

aleph0.clarku.edu

如見David E. Joyce對幾何原本的註記，Book VII, definitions 1 and 2 （页面存档备份，存于互联网档案馆）
James Williamson (translator and commentator), The Elements of Euclid, With Dissertations, Clarendon Press, Oxford, 1782, page 63, English translation of Euclid's proof （页面存档备份，存于互联网档案馆）

dartmouth.edu

math.dartmouth.edu

Letter （页面存档备份，存于互联网档案馆） in Latin from Goldbach to Euler, July 1730.
Carl Pomerance. Prime Numbers and the Search for Extraterrestrial Intelligence (PDF). [2007-12-22]. （原始内容存档 (PDF)于2021-05-06）.

doi.org

dx.doi.org

例如，Beiler寫道，數論學家恩斯特·庫默爾熱愛他的理想數，該數與質數密切相關，「因為這些數沒有被任何實際應用所玷污」。Katz則寫道，愛德蒙·蘭道（他最為人所知的是對質數分佈的相關研究）「厭惡數學的實際應用」，且因為這個理由，規避幾何等已知有所用途之學科。Beiler, Albert H., Recreations in the Theory of Numbers: The Queen of Mathematics Entertains, Dover: 2, 1966 [2015-08-23], ISBN 9780486210964, （原始内容存档于2021-04-17） . Katz, Shaul, Berlin roots—Zionist incarnation: the ethos of pure mathematics and the beginnings of the Einstein Institute of Mathematics at the Hebrew University of Jerusalem, Science in Context, 2004, 17 (1-2): 199–234, MR 2089305, doi:10.1017/S0269889704000092
Furstenberg 1955 Furstenberg, Harry, On the infinitude of primes, The American Mathematical Monthly (Mathematical Association of America), 1955, 62 (5): 353, JSTOR 2307043, doi:10.2307/2307043
Hardy, Michael; Woodgold, Catherine. Prime Simplicity. Mathematical Intelligencer. 2009, 31 (4): 44–52. doi:10.1007/s00283-009-9064-8.
（Ben Green & Terence Tao 2008） Green, Ben; Tao, Terence, The primes contain arbitrarily long arithmetic progressions, Annals of Mathematics, 2008, 167 (2): 481–547, arXiv:math.NT/0404188 , doi:10.4007/annals.2008.167.481
Goles, E.; Schulz, O.; Markus, M. Prime number selection of cycles in a predator-prey model. Complexity. 2001, 6 (4): 33–38. doi:10.1002/cplx.1040.
Paulo R. A. Campos, Viviane M. de Oliveira, Ronaldo Giro, and Douglas S. Galvão., Emergence of Prime Numbers as the Result of Evolutionary Strategy, Physical Review Letters, 2004, 93 (9): 098107, Bibcode:2004PhRvL..93i8107C, arXiv:q-bio/0406017 , doi:10.1103/PhysRevLett.93.098107.

economist.com

Invasion of the Brood. The Economist. 2004-05-06 [2006-11-26]. （原始内容存档于2009-01-25）.

eff.org

Record 12-Million-Digit Prime Number Nets $100,000 Prize. Electronic Frontier Foundation. 2009-10-14 [2010-01-04]. （原始内容存档于2021-01-20）.
EFF Cooperative Computing Awards. Electronic Frontier Foundation. [2010-01-04]. （原始内容存档于2010-04-02）.

harvard.edu

ui.adsabs.harvard.edu

Paulo R. A. Campos, Viviane M. de Oliveira, Ronaldo Giro, and Douglas S. Galvão., Emergence of Prime Numbers as the Result of Evolutionary Strategy, Physical Review Letters, 2004, 93 (9): 098107, Bibcode:2004PhRvL..93i8107C, arXiv:q-bio/0406017 , doi:10.1103/PhysRevLett.93.098107.

ieeta.pt

Tomás Oliveira e Silva. Goldbach conjecture verification. Ieeta.pt. 2011-04-09 [2011-05-21]. （原始内容存档于2013-04-21）.

jstor.org

Furstenberg 1955 Furstenberg, Harry, On the infinitude of primes, The American Mathematical Monthly (Mathematical Association of America), 1955, 62 (5): 353, JSTOR 2307043, doi:10.2307/2307043

maa.org

Ivars Peterson. The Return of Zeta. MAA Online. 1999-06-28 [2008-03-14]. （原始内容存档于2007-10-20）.

mersenne.org

GIMPS Project Discovers Largest Known Prime Number: 2^74,207,281-1. 互联网梅森素数大搜索计划. （原始内容存档于2019-04-07）.

musicoftheprimes.com

The music of primes. [2015-08-23]. （原始内容存档于2015-10-09）.

numdam.org

Ramaré, O., On šnirel'man's constant, Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV, 1995, 22 (4): 645–706 [2008-08-22], （原始内容存档于2020-09-19）.

tripod.com

primefan.tripod.com

""Arguments for and against the primality of 1 （页面存档备份，存于互联网档案馆）".

utm.edu

primes.utm.edu

存档副本. [2015-08-23]. （原始内容存档于2015-04-19）.
"Why is the number one not prime?". [2015-08-23]. （原始内容存档于2008-05-09）.
The Largest Known Prime by Year: A Brief History （页面存档备份，存于互联网档案馆） Prime Curios!: 17014…05727 (39-digits) （页面存档备份，存于互联网档案馆）
Chris K. Caldwell. The Top Twenty: Factorial. Primes.utm.edu. [2013-02-05]. （原始内容存档于2013-04-10）.
Chris K. Caldwell. The Top Twenty: Primorial. Primes.utm.edu. [2013-02-05]. （原始内容存档于2021-05-06）.
Chris K. Caldwell. The Top Twenty: Twin Primes. Primes.utm.edu. [2013-02-05]. （原始内容存档于2013-01-27）.
Caldwell, Chris. What is the probability that gcd(n,m)=1?. The Prime Pages. [2013-09-06]. （原始内容存档于2021-04-21）.
Caldwell, Chris, The Top Twenty: Lucas Number （页面存档备份，存于互联网档案馆） at The Prime Pages.

web.archive.org

GIMPS Project Discovers Largest Known Prime Number: 2^74,207,281-1. 互联网梅森素数大搜索计划. （原始内容存档于2019-04-07）.
如見David E. Joyce對幾何原本的註記，Book VII, definitions 1 and 2 （页面存档备份，存于互联网档案馆）
存档副本. [2015-08-23]. （原始内容存档于2015-04-19）.
""Arguments for and against the primality of 1 （页面存档备份，存于互联网档案馆）".
"Why is the number one not prime?". [2015-08-23]. （原始内容存档于2008-05-09）.
The Largest Known Prime by Year: A Brief History （页面存档备份，存于互联网档案馆） Prime Curios!: 17014…05727 (39-digits) （页面存档备份，存于互联网档案馆）
例如，Beiler寫道，數論學家恩斯特·庫默爾熱愛他的理想數，該數與質數密切相關，「因為這些數沒有被任何實際應用所玷污」。Katz則寫道，愛德蒙·蘭道（他最為人所知的是對質數分佈的相關研究）「厭惡數學的實際應用」，且因為這個理由，規避幾何等已知有所用途之學科。Beiler, Albert H., Recreations in the Theory of Numbers: The Queen of Mathematics Entertains, Dover: 2, 1966 [2015-08-23], ISBN 9780486210964, （原始内容存档于2021-04-17） . Katz, Shaul, Berlin roots—Zionist incarnation: the ethos of pure mathematics and the beginnings of the Einstein Institute of Mathematics at the Hebrew University of Jerusalem, Science in Context, 2004, 17 (1-2): 199–234, MR 2089305, doi:10.1017/S0269889704000092
Letter （页面存档备份，存于互联网档案馆） in Latin from Goldbach to Euler, July 1730.
James Williamson (translator and commentator), The Elements of Euclid, With Dissertations, Clarendon Press, Oxford, 1782, page 63, English translation of Euclid's proof （页面存档备份，存于互联网档案馆）
Record 12-Million-Digit Prime Number Nets $100,000 Prize. Electronic Frontier Foundation. 2009-10-14 [2010-01-04]. （原始内容存档于2021-01-20）.
EFF Cooperative Computing Awards. Electronic Frontier Foundation. [2010-01-04]. （原始内容存档于2010-04-02）.
Chris K. Caldwell. The Top Twenty: Factorial. Primes.utm.edu. [2013-02-05]. （原始内容存档于2013-04-10）.
Chris K. Caldwell. The Top Twenty: Primorial. Primes.utm.edu. [2013-02-05]. （原始内容存档于2021-05-06）.
Chris K. Caldwell. The Top Twenty: Twin Primes. Primes.utm.edu. [2013-02-05]. （原始内容存档于2013-01-27）.
Serge Tabachnikov. Kvant Selecta Algebra and Analysis. American Mathematical Society. 1999-01-01: 13– [2015-08-25]. ISBN 978-0-8218-1915-9. （原始内容存档于2021-04-17）.
Matiyasevich, Yuri V., Formulas for Prime Numbers, Tabachnikov, Serge (编), Kvant Selecta: Algebra and Analysis, II, American Mathematical Society: 13–24, 1999 [2015-08-23], ISBN 978-0-8218-1915-9, （原始内容存档于2021-04-17）
Wolfram, Stephen. "evaluate x^2−x+41 for x from 0..40". from Wolfram Alpha: Computational Knowledge Engine, Wolfram Research. [2021-05-18]. （原始内容存档于2020-03-21）（英语）.
Caldwell, Chris. What is the probability that gcd(n,m)=1?. The Prime Pages. [2013-09-06]. （原始内容存档于2021-04-21）.
Tomás Oliveira e Silva. Goldbach conjecture verification. Ieeta.pt. 2011-04-09 [2011-05-21]. （原始内容存档于2013-04-21）.
Ramaré, O., On šnirel'man's constant, Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV, 1995, 22 (4): 645–706 [2008-08-22], （原始内容存档于2020-09-19）.
Caldwell, Chris, The Top Twenty: Lucas Number （页面存档备份，存于互联网档案馆） at The Prime Pages.
Tattersall, J.J., Elementary number theory in nine chapters, Cambridge University Press, 2005 [2015-08-23], ISBN 978-0-521-85014-8, （原始内容存档于2020-03-21） , p. 112
Invasion of the Brood. The Economist. 2004-05-06 [2006-11-26]. （原始内容存档于2009-01-25）.
Ivars Peterson. The Return of Zeta. MAA Online. 1999-06-28 [2008-03-14]. （原始内容存档于2007-10-20）.
Carl Pomerance. Prime Numbers and the Search for Extraterrestrial Intelligence (PDF). [2007-12-22]. （原始内容存档 (PDF)于2021-05-06）.
The music of primes. [2015-08-23]. （原始内容存档于2015-10-09）.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. (编). Landau's Problems. at MathWorld--A Wolfram Web Resource. Wolfram Research, Inc. （英语）.

wolframalpha.com

Wolfram, Stephen. "evaluate x^2−x+41 for x from 0..40". from Wolfram Alpha: Computational Knowledge Engine, Wolfram Research. [2021-05-18]. （原始内容存档于2020-03-21）（英语）.

worldcat.org

Derbyshire, John, The Prime Number Theorem, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Washington, D.C.: Joseph Henry Press: 33, 2003, ISBN 978-0-309-08549-6, OCLC 249210614
Hua 2009，第176-177頁. Hua, L.K., Additive Theory of Prime Numbers, Translations of Mathematical Monographs 13, Providence, RI: American Mathematical Society: 176–177, 2009 [1965], ISBN 978-0821849422, MR 0194404, OCLC 824812353