Quine with prime sourcecode character distribution constraints
Golfscript, 21 15 characters
11{'aa.~' }aa.~

After removing all NOPs, their images, and the leading 11, this becomes the quine
{`'.~'}.~

reading: block(string(dup, eval)); dup; eval.
Now to shoot for the stars (20 characters - the minimum for 2-3-5) or even galaxies (12 characters - the absolute minimum)  I've taken a short stop at Alpha Centauri B to refuel, now I'm drifting through intergalactic medium. Thanks,  Goldbach's conjecture.
Live: http://golfscript.apphb.com/?c=MTF7J2FhLn4nMTE7fWFhLn4K