Goldbach's conjecture (English Wikipedia)

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

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ams.org

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.

arxiv.org

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

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

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

cofc.edu

kasmana.people.cofc.edu

Kasman, Alex. "MathFiction: No One You Know (Michelle Richmond)". Mathematical Fiction (book review). College of Charleston.

doi.org

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.
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

Morain, Odile. Le Théorème de Marguerite. franceinfo:culture

harvard.edu

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

webusers.imj-prg.fr

"Harald Andrés Helfgott". Institut de Mathématiques de Jussieu-Paris Rive Gauche. Retrieved 2021-04-06.

jstor.org

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.

knaw.nl

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.

maa.org

eulerarchive.maa.org

"Letter XLIII, Goldbach to Euler". Correspondence of Leonhard Euler. Mathematical Association of America. 7 June 1742. Retrieved 2025-01-19.
"Letter XLIV, Euler to Goldbach" (PDF). Correspondence of Leonhard Euler. Mathematical Association of America. 30 June 1742. Retrieved 2025-01-19.

mathnet.ru

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". 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

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

Sloane, N. J. A. (ed.). "Sequence A066352 (Pillai sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
"TWIN PRIME CONJECTURES" (PDF). oeis.org.
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

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.

quantamagazine.org

"How the Slowest Computer Programs Illuminate Math's Fundamental Limits". 10 December 2020.

semanticscholar.org

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

link.springer.com

Schnirelmann, L. G. (1933). First published as "Über additive Eigenschaften von Zahlen". 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.

ua.pt

sweet.ua.pt

Tomás Oliveira e Silva, "Goldbach conjecture verification". Retrieved 20 April 2024.

utm.edu

primes.utm.edu

Caldwell, Chris (2008). "Goldbach's conjecture". Retrieved 2008-08-13.

web.archive.org

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

wolfram.com

mathworld.wolfram.com

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

worldcat.org

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.