Braxton hicks

Every SINGLE morning at 6 am I wake up with Braxton Hicks. Borderline painful! I also have them every day irregularly. I'm 34 weeks and my OB checked my cervix at 33 weeks and I wasn't dilated.. But he is loooowww low. Right on my cervix (which explains the shooting pain). Has anyone experienced this and gone into early labor? Thanks!