These are the new entry level lawn mower engines made by Briggs. No throttle control. 1750 RPM is the only info in writing I could find. It sounds good right around 1750rpm. I could go a bit faster but nothing near 3000 rpm.
I ran it again this morning and it starts right up on one pull. It idles nice. Once it heats up I am getting a bit of a surge and/or skipping. I pulled the plug and it seems ok. Not too rich. Certainly not too lean. I changed it and the skipping has been greatly reduced but still a bit of surging when it is pushed.
Now I am thinking I could perhaps open it a hair more....i.e. .001 to .002". But I want to wait before I do that and just see how it goes.
I noticed is the manual specs the spark gap at .020". This is not an auto choke engine, Or a "Ready Start" as Briggs brands them. They are the only engines I have seen from Briggs with that small of a gap. The RC12YC plugs come with a .030 gap. I assume this is done to help with easier starts but from my experience on the ready starts they run just fine with a .030 gap. I'm not convinced if changing to a .020 gap that will impact surging or even skipping.
Change the gap.
The new engines are very sensitive to plugs & plug gaps.
The old engines were not all that fussy and would not really car if they were fitted with a resistor plug or a plain one.
The new engines do.
And just so you know, 500e is not your model number, it is a name , like intek or quattro.
You engine is a 120000 series engine ( 175cc ) .
Somewhere on the engine will be a 120000 number like 122R02-0126-H1 or 122T07-5308-B1
On newer engines it is on the decal with a bar code , under the bar code and electroetched into the side of the crankcase sort of behind the carb
Earlier models have it stamped into the rocker cover and if it has a metal heat shield over the muffler it is stamped into that.
If you search for service information on the 120000 series engines you will have more luck.