I started having chest pains while riding a while back, usually wile climbing hills. It felt like heartburn, and usually went away after topping the hill. After a couple of weeks of this I was doing a flat ride with a stop at a taco shop in the middle, and started getting heartburn again. This time it didn't go away, and I had to pull over an throw up. Some guy driving by in a pickup truck stopped and asked If I was ok. I told him to avoid a certain taco shop.
Fortunately for me, this guy had some medical training (he was a flight instructor at the small airport I was lapping, and CPR certified). He got out of the truck came over to look at me and five minutes later I was in the "little red bus" to Scripps Grossmont Cath Lab.
Moral of the story. . . See a doctor before it becomes mandatory. The symptoms of a heart attack are not the same for everybody. Your symptoms do not sound exactly like mine, but my symptoms were atypical also. (no radial arm or neck pain, no feeling of pressure, just a burning in the chest)