Abstract
Abstract.For any finite Galois extension K of ℚ and any conjugacy class C in Gal(K/ℚ), we show that there exist infinitely many Carmichael numbers composed solely of primes for which the associated class of Frobenius automorphisms is C. This result implies that for every natural number n there are infinitely many Carmichael numbers of the form a2 + nb2 with a, b ∊ 핫.
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