A076560 a(1)=1; a(n>1)= greatest prime divisor of a(n-1) + n.

1, 3, 3, 7, 3, 3, 5, 13, 11, 7, 3, 5, 3, 17, 2, 3, 5, 23, 7, 3, 3, 5, 7, 31, 7, 11, 19, 47, 19, 7, 19, 17, 5, 13, 3, 13, 5, 43, 41, 3, 11, 53, 3, 47, 23, 23, 7, 11, 5, 11, 31, 83, 17, 71, 7, 7, 2, 5, 2, 31, 23, 17, 5, 23, 11, 11, 13, 3, 3, 73, 3, 5, 13, 29, 13, 89, 83, 23, 17, 97, 89, 19