A126092 a(1)=2, a(2)=3, a(3)=5; a(n) = largest prime < a(n-1)+a(n-2)+a(n-3).

2, 3, 5, 7, 13, 23, 41, 73, 131, 241, 443, 811, 1493, 2741, 5039, 9257, 17033, 31327, 57601, 105953, 194869, 358417, 659237, 1212521, 2230159, 4101907, 7544573, 13876601, 25523011, 46944179, 86343787, 158810947, 292098907, 537253631