The libertarian-leaning Amash is close to the Pauls, and received support from their national libertarian network — which he'd need to rely heavily on if he makes a Senate run. A National Journal story from last week reported rumors that they wanted him to stay in the House and featured a number of Republicans from outside the Paul or Amash camps speculating on those claims. The story also included quotes from those close to Amash disputing the rumor.

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Amash and his allies have been sparring with those who want to see Rep. Mike Rogers (R-Mich.) run for the seat — and want to keep Amash out of the race so he has a clear shot at the nomination. The tweet is just the latest in the back-and-forth between the camps.

Sen. Carl LevinCarl LevinCongress: The sleeping watchdog Congress must not give companies tax reasons to move jobs overseas A lesson on abuse of power by Obama and his Senate allies MORE's (D-Mich.) decision to retire presents an opportunity for the GOP, but a divisive primary could hurt their chances at the seat. Rep. Gary Peters (D-Mich.) will announce his own candidacy on Wednesday, according to sources, and is unlikely to face any serious primary competition.