I really hope I didn't miss min primary. It seems really close, but I couldn't find a way to get more than 23 silver on the board on cycle 33. In this solve I turn 2 silver into 9 qs into 9 silver. all 9 of those silver go to the bottom output, the last one pairing up with the silver used for proliferating them 5or 5 outputs. this leaves 14 more silver for the top pipeline and the last output of the bottom one (its actually the 3rd output). The first 2 silver get used for the bottom output, and the other 12 are used for the top one.

Proof 35c is impossible:
By cycle 33 you can have gotten 16 silver from the input, and so you need to have gotten 8 more from the proliferator than you used up to initialize it. The proliferater can be activated every 3 cycles, and can first activate on cycle 7. The proliferater needs 3 silver to start being used, but one of them can be reused after the last one is proliferated, only using up 2. This means that each extra silver you put into it for setup saves 3 cycles from the first one you can use for the outputs. With 2 used up you can start on cycle 7 giving you 9 by cycle 33. Using 1 gives you 8, and none gives you 7. Each one less then the 8 more needed to get 35c.