This is amazing
 

Went to a neat presentation at our local library. 3 fellows rode cross country from West to East. Had interesting slide show. The amazing thing is that between the 3 riders over 3800 miles they encountered no flat tires! Broke half a dozen spokes but no flats. No special tires or tubes either.

I have had 3 flats in a 15 mile ride so over 7600+ miles of riding no flats seems almost unreal. They did a 2 days riding and 1 day of support truck rotation.

My wife, son, and I rode from Boston to Seattle and had no flats on our bikes. We rode on Schwalbe Marathon Plus tires (they have a kevlar liner). We pulled trailers that had Schwalbe Marathon tires (no kevlar) and had 7 flats on those.
When you say these folks didn't have "special tires", I'm not sure if kevlar counts, but we found it made all the difference.

Flats are luck:

Guy on purple bike had 8 the same day.

http://www.youtube.com/watch?v=YVT2H...lurksmarvelous

...and pinch flats can happen with any tire.

I've gone months without a flat, and have had three in five miles.

I have over 7,000 miles between my hybrid and road bikes and have yet to have one. Just over 5,000 miles are on the road bikes and the miles below are all on the Colnago. I've been riding 700x25 OEM Kenda Kryterium tires on the Defy and 700x25 Conti Ultra Gatorskins on the Colnago.

200 miles on these and no flats yet. At first I thought they were harsh, but I kinda like them now.

I've become proactive about minimizing flats by checking my tires, maybe, once a week for glass. Frequently enough I do find glass shards embedded that would sooner or later work their way into the tube. This is a tip I picked up from a cycling blog, http://www.flammerouge.je/content/3_...06/descend.htm, that is directed as descending skills which begin with checking your tires. The descending skills part is instructive also.

I've received many tips on this forum that have been more than a little helpful to a nooby cyclist. This being so, I hope to add a tip of my own to flat prevention and the general pool of knowledge.

Two flats, among others, have been due to leaks around the valve stem. After the second such flat, on inspecting the rim I found that the valve hole, after drilling at the factory, had been left with rough, ragged edges. Evidently there is enough movement between the tube and rim to create sheer forces that cut the tube/valve stem connection. After peeling the rim tape back a bit and making this discovery, I sanded and filed a bit of a chamfer in the rim hole to relieve the sharp edge causing the problem. Fixing flats on the road is such a PITA that for additional insurance I added some extra protection in the form of a small patch of rubber, about 25 x 25 mm (1 sq. in.) with a small hole in the middle. This patch is pushed on over the valve, even my spare tubes, with the intent of providing extra cushion. This and checking for glass and sharp debris seems to have reduced flats noticeably, together with planet alignment.

You have angered the gods.