質數間隙 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "質數間隙" in Chinese language version.

refsWebsite

Global rank Chinese rank

18doi.org

2^nd place

23^rd place

14web.archive.org

1^st place

11semanticscholar.org

11^th place

332^nd place

11arxiv.org

69^th place

254^th place

7ams.org

451^st place

935^th place

5zbmath.org

1,923^rd place

low place

3harvard.edu

18^th place

57^th place

2primerecords.dk

low place

2lynchburg.edu

low place

2psu.edu

207^th place

628^th place

1michaelnielsen.org

low place

1mersenneforum.org

low place

1github.com

383^rd place

336^th place

1ntheory.org

low place

1primegap-list-project.github.io

low place

1pzktupel.de

low place

1uwaterloo.ca

3,153^rd place

2,506^th place

1umd.edu

1,747^th place

1,773^rd place

1books.google.com

3^rd place

8^th place

1terrytao.wordpress.com

low place

1dustri.org

low place

1dartmouth.edu

2,242^nd place

1,998^th place

1umontreal.ca

6,223^rd place

9,933^rd place

ams.org

Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
Zhang, Yitang. Bounded gaps between primes. Annals of Mathematics. 2014, 179 (3): 1121–1174. MR 3171761. doi:10.4007/annals.2014.179.3.7 .
Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.

arxiv.org

Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.
Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Yalçin. Primes in Tuples II. Acta Mathematica. 2010, 204 (1): 1–47. S2CID 7993099. arXiv:0710.2728 . doi:10.1007/s11511-010-0044-9.
Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.
Ford, Kevin; Maynard, James; Tao, Terence. Chains of large gaps between primes. 2015-10-13. arXiv:1511.04468  [math.NT].
Sinha, Nilotpal Kanti. On a new property of primes that leads to a generalization of Cramer's conjecture. 2010. arXiv:1010.1399  [math.NT].
Kourbatov, Alexei. Upper bounds for prime gaps related to Firoozbakht's conjecture. Journal of Integer Sequences. 2015, 18 (11). arXiv:1506.03042 . 已忽略未知参数|article-number= (帮助)

books.google.com

Erdős, Paul; Bollobás, Béla; Thomason, Andrew (编). Combinatorics, Geometry and Probability: A Tribute to Paul Erdős. Cambridge University Press. 1997: 1 [September 29, 2022]. ISBN 9780521584722. （原始内容存档于September 29, 2022）.

dartmouth.edu

Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）. .

doi.org

Heilbronn, H. A. Über den Primzahlsatz von Herrn Hoheisel. Mathematische Zeitschrift. 1933, 36 (1): 394–423. JFM 59.0947.01. S2CID 123216472. doi:10.1007/BF01188631.
Ingham, A. E. On the difference between consecutive primes. Quarterly Journal of Mathematics. Oxford Series. 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255.
Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.
Huxley, M. N. On the Difference between Consecutive Primes. Inventiones Mathematicae. 1972, 15 (2): 164–170. Bibcode:1971InMat..15..164H. S2CID 121217000. doi:10.1007/BF01418933.
Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.
Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Yalçin. Primes in Tuples II. Acta Mathematica. 2010, 204 (1): 1–47. S2CID 7993099. arXiv:0710.2728 . doi:10.1007/s11511-010-0044-9.
Zhang, Yitang. Bounded gaps between primes. Annals of Mathematics. 2014, 179 (3): 1121–1174. MR 3171761. doi:10.4007/annals.2014.179.3.7 .
Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
Pintz, J. Very large gaps between consecutive primes. J. Number Theory. 1997, 63 (2): 286–301. doi:10.1006/jnth.1997.2081 .
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.
Cramér, Harald. On the order of magnitude of the difference between consecutive prime numbers. Acta Arithmetica. 1936, 2: 23–46. doi:10.4064/aa-2-1-23-46 .
Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.
Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）. .
Granville, Andrew. Unexpected Irregularities in the Distribution of Prime Numbers (PDF). Proceedings of the International Congress of Mathematicians 1. 1995: 388–399 [March 2, 2016]. ISBN 978-3-0348-9897-3. doi:10.1007/978-3-0348-9078-6_32. （原始内容存档 (PDF)于May 7, 2016）. .
Pintz, János. Cramér vs. Cramér: On Cramér's probabilistic model for primes. Functiones et Approximatio Commentarii Mathematici. September 2007, 37 (2): 232–471. doi:10.7169/facm/1229619660 .

dustri.org

Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.

github.com

Prime Gap Records. GitHub. June 11, 2022.

harvard.edu

ui.adsabs.harvard.edu

Ingham, A. E. On the difference between consecutive primes. Quarterly Journal of Mathematics. Oxford Series. 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255.
Huxley, M. N. On the Difference between Consecutive Primes. Inventiones Mathematicae. 1972, 15 (2): 164–170. Bibcode:1971InMat..15..164H. S2CID 121217000. doi:10.1007/BF01418933.
Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.

lynchburg.edu

faculty.lynchburg.edu

Nicely, Thomas R. NEW PRIME GAP OF MAXIMUM KNOWN MERIT. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于April 30, 2021）.
Nicely, Thomas R. TABLES OF PRIME GAPS. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于November 27, 2020）.

mersenneforum.org

ATH. Announcement at Mersenneforum.org. Mersenneforum.org. 2024-03-11. （原始内容存档于2024-03-12）.

michaelnielsen.org

Bounded gaps between primes. Polymath. [2013-07-21]. （原始内容存档于February 28, 2020）.

ntheory.org

Record prime gap info. ntheory.org. [2022-09-29]. （原始内容存档于October 13, 2016）.

primegap-list-project.github.io

Top 20 overall merits. Prime gap list. [2022-09-29]. （原始内容存档于July 27, 2022）.

primerecords.dk

Andersen, Jens Kruse. The Top-20 Prime Gaps. [2014-06-13]. （原始内容存档于December 27, 2019）.
Andersen, Jens Kruse. A megagap with merit 25.9. primerecords.dk. 8 March 2013 [2022-09-29]. （原始内容存档于December 25, 2019）.

psu.edu

citeseerx.ist.psu.edu

Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.
Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）. .

pzktupel.de

Andersen, Jens Kruse. Record prime gaps. [Oct 10, 2024].

semanticscholar.org

api.semanticscholar.org

Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
Heilbronn, H. A. Über den Primzahlsatz von Herrn Hoheisel. Mathematische Zeitschrift. 1933, 36 (1): 394–423. JFM 59.0947.01. S2CID 123216472. doi:10.1007/BF01188631.
Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.
Huxley, M. N. On the Difference between Consecutive Primes. Inventiones Mathematicae. 1972, 15 (2): 164–170. Bibcode:1971InMat..15..164H. S2CID 121217000. doi:10.1007/BF01418933.
Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.
Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Yalçin. Primes in Tuples II. Acta Mathematica. 2010, 204 (1): 1–47. S2CID 7993099. arXiv:0710.2728 . doi:10.1007/s11511-010-0044-9.
Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.

terrytao.wordpress.com

Tao, Terence. Long gaps between primes / What's new. 16 December 2014 [August 29, 2019]. （原始内容存档于June 9, 2019）.

umd.edu

cs.umd.edu

Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.

umontreal.ca

dms.umontreal.ca

Granville, Andrew. Unexpected Irregularities in the Distribution of Prime Numbers (PDF). Proceedings of the International Congress of Mathematicians 1. 1995: 388–399 [March 2, 2016]. ISBN 978-3-0348-9897-3. doi:10.1007/978-3-0348-9078-6_32. （原始内容存档 (PDF)于May 7, 2016）. .

uwaterloo.ca

cs.uwaterloo.ca

Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.

web.archive.org

Bounded gaps between primes. Polymath. [2013-07-21]. （原始内容存档于February 28, 2020）.
ATH. Announcement at Mersenneforum.org. Mersenneforum.org. 2024-03-11. （原始内容存档于2024-03-12）.
Andersen, Jens Kruse. The Top-20 Prime Gaps. [2014-06-13]. （原始内容存档于December 27, 2019）.
Andersen, Jens Kruse. A megagap with merit 25.9. primerecords.dk. 8 March 2013 [2022-09-29]. （原始内容存档于December 25, 2019）.
Nicely, Thomas R. NEW PRIME GAP OF MAXIMUM KNOWN MERIT. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于April 30, 2021）.
Record prime gap info. ntheory.org. [2022-09-29]. （原始内容存档于October 13, 2016）.
Nicely, Thomas R. TABLES OF PRIME GAPS. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于November 27, 2020）.
Top 20 overall merits. Prime gap list. [2022-09-29]. （原始内容存档于July 27, 2022）.
Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
Erdős, Paul; Bollobás, Béla; Thomason, Andrew (编). Combinatorics, Geometry and Probability: A Tribute to Paul Erdős. Cambridge University Press. 1997: 1 [September 29, 2022]. ISBN 9780521584722. （原始内容存档于September 29, 2022）.
Tao, Terence. Long gaps between primes / What's new. 16 December 2014 [August 29, 2019]. （原始内容存档于June 9, 2019）.
Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.
Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）. .
Granville, Andrew. Unexpected Irregularities in the Distribution of Prime Numbers (PDF). Proceedings of the International Congress of Mathematicians 1. 1995: 388–399 [March 2, 2016]. ISBN 978-3-0348-9897-3. doi:10.1007/978-3-0348-9078-6_32. （原始内容存档 (PDF)于May 7, 2016）. .

zbmath.org

Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
Hoheisel, G. Primzahlprobleme in der Analysis. Sitzunsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin. 1930, 33: 3–11. JFM 56.0172.02.
Heilbronn, H. A. Über den Primzahlsatz von Herrn Hoheisel. Mathematische Zeitschrift. 1933, 36 (1): 394–423. JFM 59.0947.01. S2CID 123216472. doi:10.1007/BF01188631.
Tchudakoff, N. G. On the difference between two neighboring prime numbers. Mat. Sb. 1936, 1: 799–814. Zbl 0016.15502.
Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.