Isn't a special election required, unless the remaining term is quite short? Which would not be the case for Cochran elected to a new six-year term.
Isn’t a special election required,
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It would be if the appointee term is more than two years. If Cochran resigned say six months
into his new term the appointee would serve until the next federal general election. At that
point a new election would be held for the remaining four years of the term.