I think due to what time it is, I am not able to think straight
The Exploiter Wizard Exploit
Exploiter Exploit
At 1st level and every 4 levels thereafter, the exploiter wizard gains a single arcanist exploit. The exploiter wizard uses his wizard level as his arcanist level for determining the effects and DCs of his arcanist exploits.
This ability replaces arcane school.
Now is that at
Level; 1,5,9,13,and 17 ?
seems about right
You are correct. Also you qualify for the Extra Arcanist Exploit feat, which is a very solid feat choice for an Exploiter.