@John PM Chappell
"I see Jake has backed down"
Not really, aside from my "draining the sun" crack. And I don't have time at the moment to research the actual power required, vs. lifetime output of the sun. I'll take Greg Trocchia's numbers as back-of-the-envelope good enough until I have time to play around with it myself. As I said, I see a really good end-of-term paper buried in there somewhere ... maybe.
"but I'm going to observe that this is fuel on the fire of "teachers are pretty crap today""
Probably. On the other hand, most "crap teachers" teach by rote and strictly follow a curriculum that they don't fully understand ... and never admit to mistakes. Me, I'm human. I make mistakes. I only teach to learn more about a given subject. This includes my work with dogs & horses & grapes/wine.
"as I appear to have a better grasp of the maths and technical details and I *don't* attempt to teach others about the topic."
If you've never taught the subject matter, you don't have even half a clue as to how weak a grasp of the subject matter you have. This includes ALL subjects, not just math.
"GCHQ really does monitor the entire RF spectrum"
All of it? Really? And here I thought counting to a big number was hard ... but us humans actually have the ability to monitor infinity? Cool! I guess SETI can close down, then.
In closing, my commentary on the NSA's ability I don't back down from at all. I don't know the truth about what they can and can't decrypt, and neither do you. All we know is what current published theory states. If they know better, they ain't talkin'.