I believe the .03 figure for the solar plants was $/kW and therefore had no bearing on total energy generated.
I think you would need a solar plant that incorporated energy storage to deliver nameplate power overnight for 40 years to be making an apples to apples comparison.
Almost no one cares if your desktop computer can last 40 years. And PV is improving so fast that making it last 40 years would be nearly as pointless.
And nuclear does not improve in a "slow paced", I don't know where you got that impression, there's been a lot of innovations on the last 10 years.
£100+ billion in 2013 https://www.theguardian.com/environment/2013/jun/23/britain-...
£161 billion in 2017 https://web.archive.org/web/20170516093449/https://www.gov.u...
£234 billion in 2018 https://www.gov.uk/government/publications/nuclear-provision...
... and counting.
Another case for the importance of specifying solar variant.
Solar thermal plants with storage (molten salt, not battery) are above 70% CF already. eg the Torresol in Spain.
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.