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abc conjecture

number theory conjecture
Intangible conjecture Q306393

Facts

7 properties
Instance of
conjecture
Defining formula
\forall t>1\colon |\{(a,b,c)\in(\mathbb Z^+)^3\colon a+b=c,\;\gcd\{a,b,c\}=1,\;c>\operatorname{rad}(abc)^t\}| < \aleph_0
Discoverer or inventor
Joseph Oesterlé, David Masser[2][3]
In defining formula
\operatorname{rad}, \operatorname{gcd}, \aleph_0
Maintained by WikiProject
WikiProject Mathematics[6]
Statement describes
positive integer[5]
Time of discovery or invention
1985[4]
🏷️ Also known as
en abc conjecture en Oesterlé–Masser conjecture en Oesterlé-Masser conjecture en Oesterlé Masser conjecture ar حدسية abc da Oesterlé-Masser formodningen da abc-formodningen de abc-Vermutung es conjetura abc fa حدس abc fi abc-konjektuuri fi Abc konjektuuri fi Abc otaksuma fi Abc-otaksuma fr conjecture abc fr conjecture d'Oesterlé-Masser he השערת abc he השערת ה-ABC hu abc-sejtés id Konjektur abc
🔖 Identifiers · 11
OpenAlex ID
C125605598
Encyclopedia of Mathematics article ID
ABC_conjecture
Freebase ID
/m/017hfr
MathWorld ID
abcConjecture
Microsoft Academic ID (discontinued)
125605598
NLab ID
abc conjecture
Namuwiki ID
ABC 추측
NicoNicoPedia ID
abc予想
PlanetMath ID
ABCConjecture
ProofWiki ID
Oesterlé-Masser_Conjecture
Stack Exchange tag
mathoverflow.net, math.stackexchange.com

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Discoverer or inventor 2
David Masser, Joseph Oesterlé
Instance of 1
conjecture
Maintained by WikiProject 1
WikiProject Mathematics
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Summary

abc conjecture is a conjecture[1].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). abc conjecture. Retrieved November 3, 2026, from https://4ort.xyz/entity/abc-conjecture
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BibTeX @misc{4ortxyz_abc-conjecture_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{abc conjecture}}, year = {2026}, url = {https://4ort.xyz/entity/abc-conjecture}, note = {Accessed: 2026-11-03}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 26w ago · KrBot bot · 2026-05-06 view diff on Wikidata ↗
    Maintained by WikiProject → WikiProject Mathematics
    Discoverer or inventor → Joseph Oesterlé, David Masser
    Instance of → conjecture
    Statement describes → positive integer
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaimvalue:1| */ Statement describes: positive integer, разрешение перенаправления / resolving redirect positive integer → positive integer ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q28"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.