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CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS
2013
Journal of the Australian Mathematical Society
We prove that when (a, m) = 1 and a is a quadratic residue mod m, there are infinitely many Carmichael numbers in the arithmetic progression a mod m. Indeed the number of them up to x is at least x 1/5 when x is large enough (depending on m).
doi:10.1017/s1446788712000547
fatcat:qqsilopapvfjxc7iusylqczgmm