Thanks for your interest and input. I've added #1805 to the list and also another known number (#4073), so now we are at 19 known Stevens High Power rifles:
Five numbers between 1000 & 2000. 1050 1737 1805 1842 1977
Three between 2000 & 3000. 2514 2628 2838
Three between 3000 & 4000. 3056 34xx 3856
Six between 4000 & 5000. 4011 40xx 4073 4290 4343 4837
Two above 5000. 5201 5302
I still believe the Stevens High Power rifle was produced in MUCH lower numbers than claimed by various sources.