When I was 16, I went out with a 21 yr old. I was still at high school (I could have left school almost a year prior, but chose to stay on). He had already been to uni and was working. We've been married 17 years now. At the start of the relationship, I was concerned about the age gap, but my parents were happy that he was a nice guy and, because he was only 21, it wasn't weird. By the time we got married, 5 years later, the age difference meant nothing whatsoever.
Go for it. It's not odd at all.
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"We act as though comfort and luxury were the chief requirements of life, when all we need to make us really happy is something to be enthusiatic about." Charles Kingsley