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Akad algebraic integers algebraic number algebraic number field Amer angew Berlin Bernoulli numbers C. R. Acad Cauchy Chelsea Publ class field theory class number coefficients complex numbers computations congruence conjecture cyclotomic field cyclotomic integers denoted Dirichlet distinct prime divides divisor elements Euler exist infinitely Fermat's equation Fermat's last theorem Fermat's problem Fermat's theorem Fermatschen finitely fractional ideals function Furtwangler Hence hypothesis ideal class ideal numbers infinite descent Inkeri irregular primes Kummer Kummer's congruences lecture Lehmer Lemma Math Mersenne Mirimanoff mod q modp modp2 Morishima multiple natural numbers nombres nonzero integers Number Theory odd prime pairwise relatively prime Paris polynomials prime exponents prime factors prime ideal prime number primitive root modulo principal ideal Proc proof of Fermat's pth power reine relatively prime integers Reprinted by Chelsea result satisfied Springer-Verlag theoreme de Fermat Uber unique factorization units Vandiver Wieferich Wiss