Fortunately, updating your PSP's firmware is not difficult, though it can be a little confusing at first.Keep in mind, however, that if your want to run homebrew programming, updating your firmware might not be the best choice.And without going to this effort, you can't use the Play Station Network (PSN) to buy or download games either. You see, late in 2014 there was an attack, an exploit, made publicly known as the Poodle Attack.There is a flaw in the design of SSL 3.0 which basically makes "secure" connections insecure if they are being attacked by someone using the Poodle Attack.
Read the instructions for each if you're not sure, and choose the one that fits best for you.
since there were never any new features or real reason to perform this update i skipped it and kept my device at 1.5.
i loved playing donkey kong country on my snes console and enjoy playing it, along with many other snes and game boy games, on my psp.
If you just want to run official software and games, though, updating is the best choice.
Sony offers three different ways to update your PSP's firmware, so you can choose the one that works best for your internet connection and equipment.