abc conjecture

Summary

abc conjecture is a conjecture^[1]. It ranks in the top 4% of conjecture entities by monthly Wikipedia readership (377 views/month).^[2]

Key Facts

• abc conjecture is credited with the discovery of Joseph Oesterlé^[3].
• abc conjecture is credited with the discovery of David Masser^[4].
• abc conjecture's instance of is recorded as conjecture^[5].
• abc conjecture's time of discovery or invention is recorded as +1985-00-00T00:00:00Z^[6].
• abc conjecture's Freebase ID is recorded as /m/017hfr^[7].
• abc conjecture's Stack Exchange tag is recorded as https://mathoverflow.net/tags/abc-conjecture^[8].
• abc conjecture's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/abc-conjecture^[9].
• abc conjecture's statement describes is recorded as positive integer^[10].
• abc conjecture's defining formula is recorded as \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^[11].
• abc conjecture's MathWorld ID is recorded as abcConjecture^[12].
• abc conjecture's nLab ID is recorded as abc conjecture^[13].
• abc conjecture's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• abc conjecture's Microsoft Academic ID is recorded as 125605598^[15].
• abc conjecture's ProofWiki ID is recorded as Oesterlé-Masser_Conjecture^[16].
• abc conjecture's NicoNicoPedia ID is recorded as abc予想^[17].
• abc conjecture's in defining formula is recorded as \operatorname{rad}^[18].
• abc conjecture's in defining formula is recorded as \operatorname{gcd}^[19].
• abc conjecture's in defining formula is recorded as \aleph_0^[20].
• abc conjecture's Encyclopedia of Mathematics article ID is recorded as ABC_conjecture^[21].
• abc conjecture's PlanetMath ID is recorded as ABCConjecture^[22].
• abc conjecture's Namuwiki ID is recorded as ABC 추측^[23].
• abc conjecture's OpenAlex ID is recorded as C125605598^[24].

Body

Designation and Status

abc conjecture's instance of is recorded as conjecture^[5].

Why It Matters

abc conjecture ranks in the top 4% of conjecture entities by monthly Wikipedia readership (377 views/month).^[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.^[25] It is known by 16 alternative names across languages and contexts.^[26]