"Planting date is more a function of soil temperature than calendar date. Soil temperature should be above 45F for rapid emergence and to minimize seed piece decay. Planting in cool soils will likely not get the crop out of the ground earlier than waiting for warmer soil temperatures."
University of Idaho
Here's probably a better home garden guide that says the same thing:
University of New Hampshire
I measured the temperature of my soil about two weeks ago (when the weather was warm :/). At 2-inches down, it was 41. No doubt, at potato planting depth, it wasn't any warmer! Still, I planted the spuds expecting it to warm up

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Lettuce Lady, I'm sure that I'm several hundred miles from you, however. And, this is colder country.
I don't know what to say about how long you should wait. If you cut the seed potatoes, they may rot more easily than whole potatoes. Still, anyone who has had a compost pile very long learns that they'll get potato plants from peelings.
It is easy to measure the temperature of soil. You just need a thermometer that if it gets dirty, you don't care.
Steve