That's a lot closer than you'd think then. While it varies from location to location, the capacity factor of solar seems to be about 20%. That means - sustained - a solar system generates 20% of it's maximum power rating, because the amount of power it produces is lessened during the winter, cloudy days, and of course at night.

The nuclear capacity factor, on the other hand, is rather high. Upwards of 90%, and sometimes even upwards of 100% (due to the powerplants being able to produce more energy than they were designed for).

If you factor that in, a nuclear plant has about a 4.5x capacity compared to a solar plant, meaning you'd have to spend 13.5c/kw for solar with the same capacity.

Of course, this varies greatly based on where you are. In sunny climates, solar's capacity is more like 30%, while in northern climates, it can be 15%. And I'd imagine the cost of new nuclear very much depends on regulations - in the US, it might as well be infinite.