Category

Abc conjecture

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Fermat's Last Theorem

theorem in number theory that there are no nontrivial integer solutions of xⁿ+yⁿ=zⁿ for integer n>2

number theory conjecture

Catalan's conjecture

theorem about consecutive powers

Brocard's problem

the Diophantine problem of finding an integer, whose factorial plus one is a perfect square

powerful number

integer where each prime number dividing it can be squared to still divide it

Beal's conjecture

conjecture in number theory

Fermat–Catalan conjecture

radical of an integer

the product of the prime factors of a given integer

Wieferich prime

prime such that p² divides 2ᵖ⁻¹-1

British mathematician

Joseph Oesterlé

French mathematician

ABC@Home was an educational and non-profit network computing project finding abc-triples related to the abc conjecture in number theory using the Berkeley Open Infrastructure for Network Computing (BOINC) volunteer computing platform.

Ribet's theorem

Result concerning properties of Galois representations associated with modular forms

Dorian M. Goldfeld

American mathematician

American mathematician

Tijdeman's theorem

potential counterexample to the Generalized Riemann Hypothesis

Hall's conjecture

Néron–Tate height

measure of the arithmetic complexity of a rationa point on an abelian variety

Szpiro's conjecture

conjecture in number theory