35 week and no braxton hicks

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So, im 35 week and im getting very worried i might not go inti labor until 40+ week or have to be induce. Have any of you ladies not felt a contraction your whole pregnacy???

Side note: Around 30 week, i went to the hospital after a fender bender where they monitored me and kept me 10 hour. I was told i was getting contraction but i never felt one. The only other time, i might have felt so.ething was about 18 week , while eating iut with my hubby ...i suddenly had sharp pain that took my breathe away. It was so bad , we left the hospital. Beside that i get nothing. Even after a 2 hour uphill hike...nothing. i do get pelvic pressure and random pain but they dont seem similar to the way others describe contraction.

Maybe im just to eager to get done with this pregnacy?