Twin prime (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Twin prime" in English language version.

refsWebsite

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7doi.org

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5ams.org

451^st place

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4arxiv.org

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3utm.edu

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3semanticscholar.org

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2worldcat.org

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2zbmath.org

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2oeis.org

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1ias.edu

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1youtube.com

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1hathitrust.org

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1nature.com

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1polymathprojects.org

low place

1michaelnielsen.org

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1projecteuclid.org

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1primegrid.com

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1ieeta.pt

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1stonybrook.edu

9,697^th place

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1jstor.org

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ams.org

mathscinet.ams.org

Zhang, Yitang (2014). "Bounded gaps between primes". Annals of Mathematics. 179 (3): 1121–1174. doi:10.4007/annals.2014.179.3.7. MR 3171761.
Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın (2006). "Small gaps between primes exist". Japan Academy. Proceedings. Series A. Mathematical Sciences. 82 (4): 61–65. arXiv:math.NT/0505300. doi:10.3792/pjaa.82.61. MR 2222213. S2CID 18847478.
Goldston, D.A.; Graham, S.W.; Pintz, J.; Yıldırım, C.Y. (2009). "Small gaps between primes or almost primes". Transactions of the American Mathematical Society. 361 (10): 5285–5330. arXiv:math.NT/0506067. doi:10.1090/S0002-9947-09-04788-6. MR 2515812. S2CID 12127823.
Maynard, James (2015). "Small gaps between primes". Annals of Mathematics. Second Series. 181 (1): 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. MR 3272929. S2CID 55175056.
Polymath, D.H.J. (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences. 1. artc. 12, 83. arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710.

arxiv.org

Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın (2006). "Small gaps between primes exist". Japan Academy. Proceedings. Series A. Mathematical Sciences. 82 (4): 61–65. arXiv:math.NT/0505300. doi:10.3792/pjaa.82.61. MR 2222213. S2CID 18847478.
Goldston, D.A.; Graham, S.W.; Pintz, J.; Yıldırım, C.Y. (2009). "Small gaps between primes or almost primes". Transactions of the American Mathematical Society. 361 (10): 5285–5330. arXiv:math.NT/0506067. doi:10.1090/S0002-9947-09-04788-6. MR 2515812. S2CID 12127823.
Maynard, James (2015). "Small gaps between primes". Annals of Mathematics. Second Series. 181 (1): 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. MR 3272929. S2CID 55175056.
Polymath, D.H.J. (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences. 1. artc. 12, 83. arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710.

doi.org

McKee, Maggie (14 May 2013). "First proof that infinitely many prime numbers come in pairs". Nature. doi:10.1038/nature.2013.12989. ISSN 0028-0836.
Zhang, Yitang (2014). "Bounded gaps between primes". Annals of Mathematics. 179 (3): 1121–1174. doi:10.4007/annals.2014.179.3.7. MR 3171761.
Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın (2006). "Small gaps between primes exist". Japan Academy. Proceedings. Series A. Mathematical Sciences. 82 (4): 61–65. arXiv:math.NT/0505300. doi:10.3792/pjaa.82.61. MR 2222213. S2CID 18847478.
Goldston, D.A.; Graham, S.W.; Pintz, J.; Yıldırım, C.Y. (2009). "Small gaps between primes or almost primes". Transactions of the American Mathematical Society. 361 (10): 5285–5330. arXiv:math.NT/0506067. doi:10.1090/S0002-9947-09-04788-6. MR 2515812. S2CID 12127823.
Maynard, James (2015). "Small gaps between primes". Annals of Mathematics. Second Series. 181 (1): 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. MR 3272929. S2CID 55175056.
Polymath, D.H.J. (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences. 1. artc. 12, 83. arXiv:1407.4897. doi:10.1186/s40687-014-0012-7. MR 3373710.
P. A. Clement (January 1949). "Congruences for sets of primes" (PDF). American Mathematical Monthly. 56 (1): 23–25. doi:10.2307/2305816. JSTOR 2305816.

hathitrust.org

babel.hathitrust.org

de Polignac, A. (1849). "Recherches nouvelles sur les nombres premiers" [New research on prime numbers]. Comptes rendus (in French). 29: 397–401. [From p. 400] "1^er Théorème. Tout nombre pair est égal à la différence de deux nombres premiers consécutifs d'une infinité de manières ..." (1st Theorem. Every even number is equal to the difference of two consecutive prime numbers in an infinite number of ways ...)

ias.edu

Thomas, Kelly Devine (Summer 2014). "Yitang Zhang's spectacular mathematical journey". The Institute Letter. Princeton, NJ: Institute for Advanced Study – via ias.edu.

ieeta.pt

Oliveira e Silva, Tomás (7 April 2008). "Tables of values of $π (x)$ and of $π 2 (x)$ ". Aveiro University. Retrieved 7 January 2011.

jstor.org

P. A. Clement (January 1949). "Congruences for sets of primes" (PDF). American Mathematical Monthly. 56 (1): 23–25. doi:10.2307/2305816. JSTOR 2305816.

michaelnielsen.org

"Bounded gaps between primes". Polymath (michaelnielsen.org). Retrieved 2014-03-27.

nature.com

McKee, Maggie (14 May 2013). "First proof that infinitely many prime numbers come in pairs". Nature. doi:10.1038/nature.2013.12989. ISSN 0028-0836.

oeis.org

Sloane, N. J. A. (ed.). "Sequence A005597 (Decimal expansion of the twin prime constant)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-11-01.
Sloane, N. J. A. (ed.). "Sequence A007508 (Number of twin prime pairs below 10^$n$)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-11-01.

polymathprojects.org

Tao, Terence (4 June 2013). "Polymath proposal: Bounded gaps between primes".

primegrid.com

"World record twin primes found!". primegrid.com. 20 September 2016.

projecteuclid.org

Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın (2006). "Small gaps between primes exist". Japan Academy. Proceedings. Series A. Mathematical Sciences. 82 (4): 61–65. arXiv:math.NT/0505300. doi:10.3792/pjaa.82.61. MR 2222213. S2CID 18847478.

semanticscholar.org

api.semanticscholar.org

Goldston, Daniel Alan; Motohashi, Yoichi; Pintz, János; Yıldırım, Cem Yalçın (2006). "Small gaps between primes exist". Japan Academy. Proceedings. Series A. Mathematical Sciences. 82 (4): 61–65. arXiv:math.NT/0505300. doi:10.3792/pjaa.82.61. MR 2222213. S2CID 18847478.
Goldston, D.A.; Graham, S.W.; Pintz, J.; Yıldırım, C.Y. (2009). "Small gaps between primes or almost primes". Transactions of the American Mathematical Society. 361 (10): 5285–5330. arXiv:math.NT/0506067. doi:10.1090/S0002-9947-09-04788-6. MR 2515812. S2CID 12127823.
Maynard, James (2015). "Small gaps between primes". Annals of Mathematics. Second Series. 181 (1): 383–413. arXiv:1311.4600. doi:10.4007/annals.2015.181.1.7. MR 3272929. S2CID 55175056.

stonybrook.edu

math.stonybrook.edu

P. A. Clement (January 1949). "Congruences for sets of primes" (PDF). American Mathematical Monthly. 56 (1): 23–25. doi:10.2307/2305816. JSTOR 2305816.

utm.edu

primes.utm.edu

"The first 100,000 twin primes (only first member of pair)" (plain text). Lists. The Prime Pages (primes.utm.edu). Martin, TN: U.T. Martin.
Caldwell, Chris K. "Are all primes (past 2 and 3) of the forms $6 n +1$ and $6 n -1$ ?". The Prime Pages (primes.utm.edu). Martin, TN: U.T. Martin. Retrieved 2018-09-27.
Caldwell, Chris K. " 2996863034895 × 2^1290000 − 1 ". The Prime Database. Martin, TN: UT Martin.

worldcat.org

search.worldcat.org

Brun, V. (1915). "Über das Goldbachsche Gesetz und die Anzahl der Primzahlpaare" [On Goldbach's rule and the number of prime number pairs]. Archiv for Mathematik og Naturvidenskab (in German). 34 (8): 3–19. ISSN 0365-4524. JFM 45.0330.16.
McKee, Maggie (14 May 2013). "First proof that infinitely many prime numbers come in pairs". Nature. doi:10.1038/nature.2013.12989. ISSN 0028-0836.

youtube.com

Tao, Terry, Ph.D. (presenter) (7 October 2014). Small and large gaps between the primes (video lecture). UCLA Department of Mathematics – via YouTube.

zbmath.org

Brun, V. (1915). "Über das Goldbachsche Gesetz und die Anzahl der Primzahlpaare" [On Goldbach's rule and the number of prime number pairs]. Archiv for Mathematik og Naturvidenskab (in German). 34 (8): 3–19. ISSN 0365-4524. JFM 45.0330.16.
Bateman, Paul T.; Diamond, Harold G. (2004). Analytic Number Theory. World Scientific. pp. 313 and 334–335. ISBN 981-256-080-7. Zbl 1074.11001.