A034901 a(n) is square mod a(i), i < n; a(n) nonsquare.

2, 3, 6, 7, 15, 21, 30, 39, 51, 120, 204, 480, 816, 849, 2041, 2185, 4785, 19140, 21505, 43065, 44080, 49504, 59185, 172260, 176320, 178465, 236740, 387585, 443521, 552601, 1774084, 2210404, 2310385, 3991689, 4973409, 5371081, 7096336