Magnetism can do it. And hot air, too
Magnetism:
I have credible reports and tesimony that you can set off a primer by magnetism. It happened in New York about 12 years ago. Google the phrase "Spontaneous Discharge of a Firearm in an MR Imaging Environment"
Of course, it did happen under the influence of 1.5 Teslas, which is a LOT.
I asked an MRI technician of my acquantance, and he told me that they are warned against having ammunition nearby, as it can go off, too.
Hair Dryer / or maybe heat gun (the stripping paint kind?):
On another forum, I read a post wherein the author described setting off a primer while drying cartridges he had picked up at the range and washed. I have no reason to believe he would lie about it.
I expect he was trying to hurry the proces. In any event, put a primed cartridge in a strong pot, put it in your oven and set it on 475 Fahrenheit and report back to us, would you?
I know personally of one round that cooked off in the open chamber of an M-60 that had been fired for a long string and then wound up with a live round stuck in the chamber. After less than two minutes (estimated), the round went off, blowing the case out the ejection port and hitting the guy next to me in the leg. He jumped about 3 feet in the air and had a small welt, but it did not break skin or tear his pants. (I have no knowledge of the cleanliness of his pants after the event, though)
I have second-hand testimony that a fellow with a 9-volt batter in the same pocket as some 22 rimfire cartridges was able to set one of more off. If you don't think 9 volts will generate that much heat, I have personal knowledge that 12 volts running through a metal wristwatch band will generate enough heat to blister human skin in fewer seconds than I could count.
(edit) Curious, I used Google and found this thread
http://www.thehighroad.org/archive/index.php/t-278523.html
in which this post appears from member Odd Job in 2007.
In his book "Gunshot Wounds" Vincent Di Maio describes various experiments where ammunition was heated in ovens. He says that .22 long rifle cartridges detonate at an average of 275F, .38 Special at 290F and 12 gauge shotgun shells at 387F. The interesting thing about these furnace experiments was that in all instances the cartridge cases ruptured, but the primers did not detonate. In fact the primers were removed from some of the ruptured cases, reloaded into other brass and fired.
Lost Sheep