will cutting calories help me get a 6 pack?

i workout 30 minutes every other day i lift weights and do ab workouts im 17 511 my arms are big but i have a little fat around the stomach will cutting calories make me lose this fat? i look online at a calorie calculator (idk if its correct or not) it said for fat loss to eat 2077 calories a day and for extreme fat loss to eat 1558 so my question is will this help me get a 6 pack?