let k be Nat; :: thesis: 17 divides (((34 * k) + 24) |^ (2 |^ 3)) + 1
17 divides (((17 * (2 * k)) + 24) |^ (2 |^ 3)) + 1 by Th34, Lm40;
hence 17 divides (((34 * k) + 24) |^ (2 |^ 3)) + 1 ; :: thesis: verum