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Published online by Cambridge University Press: 26 April 2010
Assuming a conjecture intermediate in strength between one of Chowla and one of Heath-Brown on the least prime in a residue class, we show that for any coprime integers a and m≥1, there are infinitely many Carmichael numbers in the arithmetic progression a mod m.
The second author was supported in part by NSF grant DMS-0703850.