There may not be much of a point to calculating the lower n values, but I still think its kinda fun to get rid of them. Anyways, I believe I may be the first person to have found a factor for 10223*2^1181+1. It came up on the 2260th curve I was calculating.

2869295942753555058435842630879466239475749080003 | 10223*2^1181+1