[srean]

> Then pace the time between detonations to different prime numbers...

There is a problem though. Whose time ? Your time, observers time ? Are the bombs moving with the same velocity ?

https://en.wikipedia.org/wiki/Relativity_of_simultaneity

[fennecfoxen]

> Are the bombs moving with the same velocity?

Relative to the speed of light, where these effects actually become appreciable?

Yes. Hell yes. Basically identical velocities. Signal to noise ratio issues will do in this idea long before relativity has any sort of impact; it's not even close.

[messe]

Won't the ratios should remain the same? A change of inertial reference frame in SR is just a linear transformation.