When ATK took over production of Lake City Army ammunition plant they had already acquired CCI and Federal. After this they came out with their "special" military primers that were NEVER needed in the past when Remington and Winchester ran Lake City.
In the drawing below you can see the base of the primer cup is thicker and the anvil is shorter than a standard primer. These primers were designed to help prevent slam fires that happened when a single round was loaded without the magazine in position to slow down bolt velocity with firearms with free floating firing pins.
Bottom line, it takes far more force to set off these primers, "BUT" we got by from 1941 till 1982 at Lake City using Remington 9 1/2 and 7 1/2 primers. I have a M1 Garand and two AR15 rifles and I use Remington primers and have never had a slam fire.
When Remington ran Lake City they had to use Winchester ball powders which are harder to ignite and now the Remington primers are called "baby flame throwers".
The CCI #34 and #41 primers are a solution to a problem that didn't exist and now they get to charge you as a tax payer and the U.S. Government more for their primers.
Read the links below and pick your primer. I don't think you can work your bolt fast enough to cause a slam fire.
Primers - Large Rifle Primer Study
A Match Primer Study in the 30-06 Cartridge
By Germán A. Salazar
http://riflemansjournal.blogspot.com/2009/06/primers-large-rifle-primer-study.html
Primers - Small Rifle Primer Study
A Match Primer Study in the 6BR Cartridge
By Germán A. Salazar
http://riflemansjournal.blogspot.com/2009/06/primers-small-rifle-primer-study.html