Cool I might get my name on a few after all
I'm a newbie explorer myself, Madrax, having just one 'significant' trip in my history. I can attest to the 'you'll get discoveries if you go 1000 Ly out' premise.
My trip was 1,800 Ly one way, 4,000 Ly total with some wandering around. I went to a common point of interest- Vy Canis Majoris. By my accounting, I discovered 22 'primaries' i.e.: systems where the primary star was undiscovered until I arrived. I got discovery credit for at least three times that number of stars in total (including a lot of secondary stars within 50k Ls of the primary), and many dozens of planets. I kept rough track of my discoveries on a spreadsheet- one line per system where I discovered something, with columns for what kinds of bodies I'd found.
Of course, you need to get back safely and turn in your data to the cartographers to get 'credit' for the discovery (I.e.: get your name on the objects). And someone can beat you to it by exploring the same system and turning in the data first I suppose. But I was pleasantly surprised by the fact that even at this late date you don't need to invest weeks to get your name out there. The galaxy really is a big place.
Side note: my jump range was almost exactly 30 Ly, and I found that worked out pretty well for the whole trip. I carried enough fuel for 12 jumps (96 tons in my case), and have a nice, high capacity (fast) scoop. I suppose I admire the folks who fly in stripped-down rigs that get 50+ Ly per jump, but for myself... I like having the little luxuries, like shields and guns. As some say, you won't be interdicted/encounter pirates for 99% of your trip... but I was interdicted twice on the way out and three times on the way back. It would really, really suck to go all that way to lose all that exploration data in a puff of sparkly smoke ejected to the void...