A034900 a(n) is square mod a(i), i < n; a(n) prime.

2, 3, 7, 37, 67, 127, 211, 1999, 3823, 5623, 5779, 12163, 17683, 41227, 180667, 186727, 1901209, 5176711, 5830819, 10593997, 36065149, 66423067, 89635303, 117961621, 121703311, 225511939, 410967463