The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and...

x^{\lambda n}} uniformly in m and n. The general conjecture would follow from the ABC conjecture. Pillai's conjecture means that for every natural number n, there...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

Look up ABC, abc, A.B.C., or ABCs in Wiktionary, the free dictionary. ABC are the first three letters of the Latin script. ABC or abc may also refer to:...

unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem...

to provide a proof for various outstanding conjectures in number theory, in particular the abc conjecture. Mochizuki and a few other mathematicians claim...

The Beal conjecture is the following conjecture in number theory: Unsolved problem in mathematics: If A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}}...

follow from the abc conjecture that there are only finitely many Brown numbers. More generally, it would also follow from the abc conjecture that n ! + A =...

Szpiro's conjecture relates to the conductor and the discriminant of an elliptic curve. In a slightly modified form, it is equivalent to the well-known abc conjecture...

from non-mathematicians due to claims it provides a resolution of the abc conjecture. Shinichi Mochizuki was born to parents Kiichi and Anne Mochizuki. When...

Ribet's theorem (earlier called the epsilon conjecture or ε-conjecture) is part of number theory. It concerns properties of Galois representations associated...

In number theory the n conjecture is a conjecture stated by Browkin & Brzeziński (1994) as a generalization of the abc conjecture to more than three integers...

theory, the Fermat–Catalan conjecture is a generalization of Fermat's Last Theorem and of Catalan's conjecture. The conjecture states that the equation...

random Hermitian matrices. n conjecture: a generalization of the abc conjecture to more than three integers. abc conjecture: for any ϵ > 0 {\displaystyle...

Vojta's conjecture is a conjecture introduced by Paul Vojta (1987) about heights of points on algebraic varieties over number fields. The conjecture was motivated...

numbers as well as more general subjects such as number fields and the abc conjecture. As of April 2023[update], the only known Wieferich primes are 1093...

weak form of Hall's conjecture would follow from the ABC conjecture. A generalization to other perfect powers is Pillai's conjecture, though it is also...

investigate conjectures and open problems in number theory, including the Riemann hypothesis, the Birch and Swinnerton-Dyer conjecture, the ABC conjecture, the...

OEIS). Investigation of such numbers stemmed from the following prior conjecture by Paul Erdős: There exists a positive integer k such that every integer...

Granville and Stark showed that a certain uniform formulation of the abc conjecture for number fields implies "no Siegel zeros" for negative discriminants...

a French mathematician who, along with David Masser, formulated the abc conjecture which has been called "the most important unsolved problem in diophantine...

its smallest term must be congruent to 7, 27, or 35 modulo 36. If the abc conjecture is true, there is only a finite number of sets of three consecutive...

prime}}}p} The radical plays a central role in the statement of the abc conjecture. Radical numbers for the first few positive integers are 1, 2, 3, 2...

These approximations imply solutions to important problems like the abc conjecture. The extensions of F1 later on were denoted as Fq with q = 1n. Together...

{x}}} by x + c x 1 / 5 log ⁡ x . {\displaystyle x+cx^{1/5}\log x.} The ABC conjecture would allow x + x o ( 1 ) {\displaystyle x+x^{o(1)}} . The table shows...

Top 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z abc conjecture The abc conjecture of Masser and Oesterlé attempts to state as much as possible...

Fermat's Last Theorem Mordell conjecture Euler's sum of powers conjecture abc Conjecture Catalan's conjecture Pillai's conjecture Hasse principle Diophantine...

number of solutions. The truth of Pillai's conjecture, in turn, would follow from the truth of the abc conjecture. Narkiewicz, Wladyslaw (2011), Rational...

theorem, is a mathematical theorem about polynomials, analogous to the abc conjecture for integers. It is named after Walter Wilson Stothers, who published...