If you look back through the archives, you might be able to find a few of my longer and more detailed responses whenever the subject of nuclear energy arises. I'll restate my conclusions here.
Current nuclear energy production techniques produce new waste products that did not exist before. These products are so deadly that touching them for a reasonable period of time will result in your painful death in a few days to a few months. These waste products are dangerous for timescales of hundreds of thousands of years, give or take one order of magnitude. I'll restrict my analysis to this so-called high-level radioactive waste, not low-level radioactive waste like contaminated equipment and clothing.
The earliest written languages are around 5,000 years old, give or take a thousand years. Nobody except for a handful of people in the world can read those languages. Most humans can only read languages a few hundred years old at most. In the poorest regions of the world in 2016, half of the local population can read no language whatsoever, local or remote, ancient or modern, because they are illiterate.
Regions of the globe that formerly had the leading civilizations can fall on hard times due to overly intensive agriculture, drought, earthquakes, other types of natural disasters, or any number of freak occurrences. North America, over thousands of years, could swap places with sub-Saharan Africa in terms of, most importantly, literacy, scientific and otherwise. There is no guarantee of forward technological progress. Simply look at the Roman Empire and the following Dark Ages. It took civilization until the 20th century to recover most of what was lost.
Let's fast forward 25,000 years. Due to climate change, there is a population of mostly illiterate nomadic herders in North America. Quite by accident, they come across our 2016 state of the art nuclear waste containment facility. Over the years all of the security measures have been destroyed by natural disasters of one kind or another. Amazingly there are still legible signs posted in 100 of the most common languages from 2016 Earth. Since these herders can't read, the signs are quite useless. Even if the locals could read, the signs would take weeks for academics living thousands of miles away to decipher. Being curious and in need of building supplies, these individuals clean out the facility, emptying all high-level waste containers, hoping to find useful materials. Over the next few weeks the material spreads to other local tribes. The advanced civilizations of sub-Saharan Africa are unaware of this until after a few more weeks tens of thousands of people from the primitive tribes of North America start dying from radiation poisoning. All because some pretty ignorant people in 2016 thought that nuclear energy was completely safe.
This is what nuclear energy produces: Ticking, deadly time bombs for future civilizations, with no guaranteed way to warn them of the danger.