質數間隙 (Chinese Wikipedia)
Analysis of information sources in references of the Wikipedia article "質數間隙" in Chinese language version.
Last modified:
Ref.Un. Ref.Website
Global rank
Chinese rank
1st place
1st place
15th place
141st place
2,089th place
low place
low place
low place
low place
low place
14th place
27th place
6th place
2nd place
low place
low place
380th place
277th place
low place
low place
low place
low place
low place
low place
low place
low place
3,649th place
2,866th place
737th place
1,063rd place
4,607th place
2,079th place
3rd place
6th place
low place
low place
low place
low place
2,786th place
2,600th place
5,721st place
8,976th place
adsabs.harvard.edu (Global: 14th place; Chinese: 27th place)
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）.
ams.org (Global: 434th place; Chinese: 794th place)
- 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.
archive.org (Global: 6th place; Chinese: 2nd place)
- 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.
- 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 .
arxiv.org (Global: 49th place; Chinese: 158th place)
- 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.
- Dudek, Adrian, An Explicit Result for Primes Between Cubes, 2014-01-17, arXiv:1401.4233
- 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 .
- Stadlmann, Julia. Bounded gaps between primes. 2026-08-31. arXiv:2608.31126 [math.NT].
- 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 (Global: 3rd place; Chinese: 6th place)
- 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 (Global: 2,786th place; Chinese: 2,600th place)
- 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 (Global: 2nd place; Chinese: 5th place)
- 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 (Global: low place; Chinese: low place)
- 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 (Global: 380th place; Chinese: 277th place)
- Prime Gap Records. GitHub. June 11, 2022.
- https://github.com/hanxinzhang/prime-bound
lynchburg.edu (Global: low place; Chinese: low place)
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 (Global: low place; Chinese: low place)
- ATH. Announcement at Mersenneforum.org. Mersenneforum.org. 2024-03-11. （原始内容存档于2024-03-12）.
michaelnielsen.org (Global: low place; Chinese: low place)
- Bounded gaps between primes. Polymath. [2013-07-21]. （原始内容存档于February 28, 2020）.
ntheory.org (Global: low place; Chinese: low place)
- Record prime gap info. ntheory.org. [2022-09-29]. （原始内容存档于October 13, 2016）.
openai.com (Global: 4,607th place; Chinese: 2,079th place)
- A new generation of intelligence. OpenAI. 2026-09-04 [2026-09-04].
primegap-list-project.github.io (Global: low place; Chinese: low place)
- Top 20 overall merits. Prime gap list. [2022-09-29]. （原始内容存档于July 27, 2022）.
primerecords.dk (Global: low place; Chinese: low place)
- 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 (Global: 299th place; Chinese: 591st place)
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 (Global: low place; Chinese: low place)
- Andersen, Jens Kruse. Record prime gaps. [Oct 10, 2024].
semanticscholar.org (Global: 15th place; Chinese: 141st place)
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 (Global: low place; Chinese: low place)
- 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 (Global: 1,356th place; Chinese: 1,543rd place)
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 (Global: 5,721st place; Chinese: 8,976th place)
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 (Global: 3,649th place; Chinese: 2,866th place)
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 (Global: 1st place; Chinese: 1st place)
- 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）..
x.com (Global: 58th place; Chinese: 187th place)
- Axiom [@axiommathai]. 1/ World record today on bounded gaps between primes, one of number theory’s oldest open conjectures. (X帖子). 2026-09-03 –通过X.
- Weijie Su [@weijie444]. Announcing that GPT-6 Astra has pushed the prime gap to 186, with Lean formalization! (X帖子). 2026-09-04 –通过X.
zbmath.org (Global: 2,089th place; Chinese: low place)
- 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.