If you have a healthy crop and are not decimated by voles, deer, or such, You could expect to have what you want with 24 plants.

Then you would need to properly cure and store them to keep eating all year. For myself, I find that mine are not as flavorful by spring of the next year...so projecting 52 weeks could be a bit of a stretch.....my take.

Last year I planted 8 slips, totally ignored them and ended up with about 40 tubers. I have rocky soil, so a lot of them were quite...creative. I think 24 skips would probably get you what you want even accounting for reasonable losses.

Sweet potatoes store a long time in ideal conditions, but a whole year seems unlikely, but slices dehydrate nicely and sweet potato au gratin is very tasty.

(The ugly ones also make great dog treats.)

Wayne_5 and alabamanicole, thank you very much!