Goldbach's conjecture (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Goldbach's conjecture" in English language version.

refsWebsite

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13web.archive.org

1^st place

5doi.org

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4arxiv.org

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3oeis.org

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2maa.org

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2mathnet.ru

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2ams.org

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2semanticscholar.org

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1books.google.com

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1wolfram.com

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1claymath.org

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1utm.edu

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1mtak.hu

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1knaw.nl

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1springer.com

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1psu.edu

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1jstor.org

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1worldcat.org

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1harvard.edu

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1imj-prg.fr

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1cofc.edu

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1francetvinfo.fr

363^rd place

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1quantamagazine.org

6,413^th place

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ams.org (Global: 451^st place; English: 277^th place)

Sinisalo, Matti K. (October 1993). "Checking the Goldbach Conjecture up to 4 ⋅ 10¹¹" (PDF). Mathematics of Computation. 61 (204). American Mathematical Society: 931–934. CiteSeerX 10.1.1.364.3111. doi:10.2307/2153264. JSTOR 2153264. Archived (PDF) from the original on 2021-04-17. Retrieved 2021-04-28.
Oliviera e Silva, Tomas; Herzog, Siegfried; Pardi, Silvio (July 2014). "Empirical Verification of the Even Goldbach Conjecture and Computation of up to 4 · 10¹⁸" (PDF). Mathematics of Computation. 83 (288). American Mathematical Society: 2033–2068. Archived (PDF) from the original on 15 June 2025. Retrieved 16 July 2025.

arxiv.org (Global: 69^th place; English: 59^th place)

Helfgott, H. A. (2013). "The ternary Goldbach conjecture is true". arXiv:1312.7748 [math.NT].
Heath-Brown, D. R.; Puchta, J. C. (2002). "Integers represented as a sum of primes and powers of two". Asian Journal of Mathematics. 6 (3): 535–565. arXiv:math.NT/0201299. Bibcode:2002math......1299H. doi:10.4310/AJM.2002.v6.n3.a7. S2CID 2843509.
Helfgott, H. A. (2013). "Major arcs for Goldbach's theorem". arXiv:1305.2897 [math.NT].
Helfgott, H. A. (2012). "Minor arcs for Goldbach's problem". arXiv:1205.5252 [math.NT].

books.google.com (Global: 3^rd place; English: 3^rd place)

Goldbach, Christian (1843). "Lettre XLIII". In P. H., Fuss (ed.). Correspondance mathématique et physique de quelques célèbres géomètres du XVIIIème siècle (letter to Leonhard Euler) (in German). Vol. 1. St. Petersburg: Imperial Academy of Sciences. pp. 125–129.

claymath.org (Global: 8,402^nd place; English: 8,241^st place)

Ingham, A. E. "Popular Lectures" (PDF). Archived from the original (PDF) on 2003-06-16. Retrieved 2009-09-23.

cofc.edu (Global: low place; English: low place)

kasmana.people.cofc.edu

Kasman, Alex. "MathFiction: No One You Know (Michelle Richmond)". Mathematical Fiction (book review). College of Charleston. Archived from the original on 2019-11-15. Retrieved 2019-11-01.

doi.org (Global: 2^nd place; English: 2^nd place)

Estermann, T. (1938). "On Goldbach's problem: proof that almost all even positive integers are sums of two primes". Proceedings of the London Mathematical Society. 2. 44: 307–314. doi:10.1112/plms/s2-44.4.307.
Sinisalo, Matti K. (October 1993). "Checking the Goldbach Conjecture up to 4 ⋅ 10¹¹" (PDF). Mathematics of Computation. 61 (204). American Mathematical Society: 931–934. CiteSeerX 10.1.1.364.3111. doi:10.2307/2153264. JSTOR 2153264. Archived (PDF) from the original on 2021-04-17. Retrieved 2021-04-28.
Pintz, J.; Ruzsa, I. Z. (2020-08-01). "On Linnik's approximation to Goldbach's problem. II". Acta Mathematica Hungarica. 161 (2): 569–582. doi:10.1007/s10474-020-01077-8. ISSN 1588-2632. S2CID 54613256.
Heath-Brown, D. R.; Puchta, J. C. (2002). "Integers represented as a sum of primes and powers of two". Asian Journal of Mathematics. 6 (3): 535–565. arXiv:math.NT/0201299. Bibcode:2002math......1299H. doi:10.4310/AJM.2002.v6.n3.a7. S2CID 2843509.
Melfi, G. (1996). "On two conjectures about practical numbers". Journal of Number Theory. 56: 205–210. doi:10.1006/jnth.1996.0012.

francetvinfo.fr (Global: 363^rd place; English: 1,663^rd place)

Morain, Odile. Le Théorème de Marguerite Archived 2023-11-06 at the Wayback Machine. franceinfo:culture

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Heath-Brown, D. R.; Puchta, J. C. (2002). "Integers represented as a sum of primes and powers of two". Asian Journal of Mathematics. 6 (3): 535–565. arXiv:math.NT/0201299. Bibcode:2002math......1299H. doi:10.4310/AJM.2002.v6.n3.a7. S2CID 2843509.

imj-prg.fr (Global: low place; English: low place)

webusers.imj-prg.fr

"Harald Andrés Helfgott". Institut de Mathématiques de Jussieu-Paris Rive Gauche. Archived from the original on 2021-04-14. Retrieved 2021-04-06.

jstor.org (Global: 26^th place; English: 20^th place)

Sinisalo, Matti K. (October 1993). "Checking the Goldbach Conjecture up to 4 ⋅ 10¹¹" (PDF). Mathematics of Computation. 61 (204). American Mathematical Society: 931–934. CiteSeerX 10.1.1.364.3111. doi:10.2307/2153264. JSTOR 2153264. Archived (PDF) from the original on 2021-04-17. Retrieved 2021-04-28.

knaw.nl (Global: 2,678^th place; English: 2,423^rd place)

dwc.knaw.nl

Van der Corput, J. G. (1938). "Sur l'hypothèse de Goldbach" (PDF). Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen Amsterdam (in French). 41: 76–80. Archived (PDF) from the original on 2013-10-20. Retrieved 2013-07-30.

maa.org (Global: 3,479^th place; English: 2,444^th place)

eulerarchive.maa.org

"Letter XLIII, Goldbach to Euler". Correspondence of Leonhard Euler. Mathematical Association of America. 7 June 1742. Archived from the original on 2025-01-20. Retrieved 2025-01-19.
"Letter XLIV, Euler to Goldbach" (PDF). Correspondence of Leonhard Euler. Mathematical Association of America. 30 June 1742. Archived (PDF) from the original on 2024-09-17. Retrieved 2025-01-19.

mathnet.ru (Global: 8,783^rd place; English: low place)

mi.mathnet.ru

Schnirelmann, L. G. (1930). 'On the additive properties of numbers". First published in Proceedings of the Don Polytechnic Institute in Novocherkassk (in Russian), vol 14 (1930), pp. 3–27, and reprinted in Uspekhi Matematicheskikh Nauk (in Russian), 1939, no. 6, 9–25.
Schnirelmann, L. G. (1933). First published as "Über additive Eigenschaften von Zahlen" Archived 2017-10-27 at the Wayback Machine. In Mathematische Annalen (in German), vol. 107 (1933), 649–690, and reprinted as "On the additive properties of numbers" in Uspekhi Matematicheskikh Nauk (in Russian), 1940, no. 7, 7–46.

mtak.hu (Global: low place; English: 9,835^th place)

real.mtak.hu

Pintz, János. "On a conjecture of Descartes". ELKH Rényi Mathematical Institute of the Hungarian Academy of Sciences. Retrieved 20 June 2025.

oeis.org (Global: 742^nd place; English: 538^th place)

Sloane, N. J. A. (ed.). "Sequence A066352 (Pillai sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
"TWIN PRIME CONJECTURES" (PDF). oeis.org. Archived (PDF) from the original on 2021-08-06. Retrieved 2021-08-06.
Sloane, N. J. A. (ed.). "Sequence A007534 (Even numbers that are not the sum of a pair of twin primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Sinisalo, Matti K. (October 1993). "Checking the Goldbach Conjecture up to 4 ⋅ 10¹¹" (PDF). Mathematics of Computation. 61 (204). American Mathematical Society: 931–934. CiteSeerX 10.1.1.364.3111. doi:10.2307/2153264. JSTOR 2153264. Archived (PDF) from the original on 2021-04-17. Retrieved 2021-04-28.

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

"How the Slowest Computer Programs Illuminate Math's Fundamental Limits". 10 December 2020. Archived from the original on 24 July 2024. Retrieved 24 July 2024.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Pintz, J.; Ruzsa, I. Z. (2020-08-01). "On Linnik's approximation to Goldbach's problem. II". Acta Mathematica Hungarica. 161 (2): 569–582. doi:10.1007/s10474-020-01077-8. ISSN 1588-2632. S2CID 54613256.
Heath-Brown, D. R.; Puchta, J. C. (2002). "Integers represented as a sum of primes and powers of two". Asian Journal of Mathematics. 6 (3): 535–565. arXiv:math.NT/0201299. Bibcode:2002math......1299H. doi:10.4310/AJM.2002.v6.n3.a7. S2CID 2843509.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Schnirelmann, L. G. (1933). First published as "Über additive Eigenschaften von Zahlen" Archived 2017-10-27 at the Wayback Machine. In Mathematische Annalen (in German), vol. 107 (1933), 649–690, and reprinted as "On the additive properties of numbers" in Uspekhi Matematicheskikh Nauk (in Russian), 1940, no. 7, 7–46.

utm.edu (Global: 1,379^th place; English: 1,175^th place)

primes.utm.edu

Caldwell, Chris (2008). "Goldbach's conjecture". Archived from the original on 2008-09-18. Retrieved 2008-08-13.

web.archive.org (Global: 1^st place; English: 1^st place)

"Letter XLIII, Goldbach to Euler". Correspondence of Leonhard Euler. Mathematical Association of America. 7 June 1742. Archived from the original on 2025-01-20. Retrieved 2025-01-19.
"Letter XLIV, Euler to Goldbach" (PDF). Correspondence of Leonhard Euler. Mathematical Association of America. 30 June 1742. Archived (PDF) from the original on 2024-09-17. Retrieved 2025-01-19.
Ingham, A. E. "Popular Lectures" (PDF). Archived from the original (PDF) on 2003-06-16. Retrieved 2009-09-23.
Caldwell, Chris (2008). "Goldbach's conjecture". Archived from the original on 2008-09-18. Retrieved 2008-08-13.
Van der Corput, J. G. (1938). "Sur l'hypothèse de Goldbach" (PDF). Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen Amsterdam (in French). 41: 76–80. Archived (PDF) from the original on 2013-10-20. Retrieved 2013-07-30.
Schnirelmann, L. G. (1933). First published as "Über additive Eigenschaften von Zahlen" Archived 2017-10-27 at the Wayback Machine. In Mathematische Annalen (in German), vol. 107 (1933), 649–690, and reprinted as "On the additive properties of numbers" in Uspekhi Matematicheskikh Nauk (in Russian), 1940, no. 7, 7–46.
Sinisalo, Matti K. (October 1993). "Checking the Goldbach Conjecture up to 4 ⋅ 10¹¹" (PDF). Mathematics of Computation. 61 (204). American Mathematical Society: 931–934. CiteSeerX 10.1.1.364.3111. doi:10.2307/2153264. JSTOR 2153264. Archived (PDF) from the original on 2021-04-17. Retrieved 2021-04-28.
"Harald Andrés Helfgott". Institut de Mathématiques de Jussieu-Paris Rive Gauche. Archived from the original on 2021-04-14. Retrieved 2021-04-06.
Oliviera e Silva, Tomas; Herzog, Siegfried; Pardi, Silvio (July 2014). "Empirical Verification of the Even Goldbach Conjecture and Computation of up to 4 · 10¹⁸" (PDF). Mathematics of Computation. 83 (288). American Mathematical Society: 2033–2068. Archived (PDF) from the original on 15 June 2025. Retrieved 16 July 2025.
Kasman, Alex. "MathFiction: No One You Know (Michelle Richmond)". Mathematical Fiction (book review). College of Charleston. Archived from the original on 2019-11-15. Retrieved 2019-11-01.
Morain, Odile. Le Théorème de Marguerite Archived 2023-11-06 at the Wayback Machine. franceinfo:culture
"TWIN PRIME CONJECTURES" (PDF). oeis.org. Archived (PDF) from the original on 2021-08-06. Retrieved 2021-08-06.
"How the Slowest Computer Programs Illuminate Math's Fundamental Limits". 10 December 2020. Archived from the original on 24 July 2024. Retrieved 24 July 2024.

wolfram.com (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Goldbach Conjecture". MathWorld.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Pintz, J.; Ruzsa, I. Z. (2020-08-01). "On Linnik's approximation to Goldbach's problem. II". Acta Mathematica Hungarica. 161 (2): 569–582. doi:10.1007/s10474-020-01077-8. ISSN 1588-2632. S2CID 54613256.

Goldbach's conjecture (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

arxiv.org (Global: 69th place; English: 59th place)

books.google.com (Global: 3rd place; English: 3rd place)

claymath.org (Global: 8,402nd place; English: 8,241st place)

cofc.edu (Global: low place; English: low place)

kasmana.people.cofc.edu

doi.org (Global: 2nd place; English: 2nd place)

francetvinfo.fr (Global: 363rd place; English: 1,663rd place)

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

imj-prg.fr (Global: low place; English: low place)

webusers.imj-prg.fr

jstor.org (Global: 26th place; English: 20th place)

knaw.nl (Global: 2,678th place; English: 2,423rd place)

dwc.knaw.nl

maa.org (Global: 3,479th place; English: 2,444th place)

eulerarchive.maa.org

mathnet.ru (Global: 8,783rd place; English: low place)

mi.mathnet.ru

mtak.hu (Global: low place; English: 9,835th place)

real.mtak.hu

oeis.org (Global: 742nd place; English: 538th place)

psu.edu (Global: 207th place; English: 136th place)

citeseerx.ist.psu.edu

quantamagazine.org (Global: 6,413th place; English: 4,268th place)

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

springer.com (Global: 274th place; English: 309th place)

link.springer.com

utm.edu (Global: 1,379th place; English: 1,175th place)

primes.utm.edu

web.archive.org (Global: 1st place; English: 1st place)

wolfram.com (Global: 513th place; English: 537th place)

mathworld.wolfram.com

worldcat.org (Global: 5th place; English: 5th place)

search.worldcat.org

ams.org (Global: 451^st place; English: 277^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

books.google.com (Global: 3^rd place; English: 3^rd place)

claymath.org (Global: 8,402^nd place; English: 8,241^st place)

doi.org (Global: 2^nd place; English: 2^nd place)

francetvinfo.fr (Global: 363^rd place; English: 1,663^rd place)

harvard.edu (Global: 18^th place; English: 17^th place)

jstor.org (Global: 26^th place; English: 20^th place)

knaw.nl (Global: 2,678^th place; English: 2,423^rd place)

maa.org (Global: 3,479^th place; English: 2,444^th place)

mathnet.ru (Global: 8,783^rd place; English: low place)

mtak.hu (Global: low place; English: 9,835^th place)

oeis.org (Global: 742^nd place; English: 538^th place)

psu.edu (Global: 207^th place; English: 136^th place)

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

springer.com (Global: 274^th place; English: 309^th place)

utm.edu (Global: 1,379^th place; English: 1,175^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

wolfram.com (Global: 513^th place; English: 537^th place)

worldcat.org (Global: 5^th place; English: 5^th place)