In mathematics, the Kummer–Vandiver conjecture, or Vandiver conjecture, states that a prime p does not divide the class number hK of the maximal real subfield...

In mathematics, Kummer's conjecture is either of two the conjectures made by Ernst Eduard Kummer: The Kummer–Vandiver conjecture about class numbers of...

divisors of binomial coefficients Kummer's function Kummer sum Kummer variety Kummer–Vandiver conjecture Kummer's transformation of series Ideal number...

satisfying the Kummer–Vandiver conjecture and proved for all primes by Mazur and Wiles (1984). The Herbrand–Ribet theorem and the Gras conjecture are both easy...

{\displaystyle x} is algebraic of degree n {\displaystyle n} ? Kummer–Vandiver conjecture: primes p {\displaystyle p} do not divide the class number of...

as Kummer–Vandiver conjecture, was first posed in an 1849 letter from Ernst Kummer to Leopold Kronecker. For the academic year 1927–1928 Vandiver received...

computational methods were used to extend Kummer's approach to the irregular primes. In 1954, Harry Vandiver used a SWAC computer to prove Fermat's Last...

theorem Kummer–Vandiver conjecture Ankeny–Artin–Chowla congruence, similar for class numbers of real quadratic fields Bernoulli number § The Kummer theorems...

1953. Eisenstein reciprocity Hilbert class field Keller's conjecture Kummer–Vandiver conjecture Principalization (algebra) "Philipp Furtwängler - Biography"...

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

prime p is more difficult (since Kummer proved the first case of Fermat's Last Theorem for B-regular primes, Vandiver proved the first case of Fermat's...

verify the Kummer–Vandiver conjecture of Harry Vandiver and Ernst Eduard Kummer concerning the class number of cyclotomic fields. Vandiver proved it with...

cyclotomic fields, proved by Iwasawa for primes satisfying the Kummer–Vandiver conjecture and proved for all primes by Mazur and Wiles. Japanese theorem...

Bp − 3 modulo p, where p is a prime; for example to test whether Vandiver's conjecture holds for p, or even just to determine whether p is an irregular...