proposition: Lemma prime8172363812299 : prime 8172363812299.
proof: Proof. apply (Pocklington_refl (Pock_certif 8172363812299 2 ((2344338443, 1)::(2,1)::nil) 1) ((Pock_certif 2344338443 2 ((17495063, 1)::(2,1)::nil) 1) :: (Pock_certif 17495063 5 ((29, 1)::(13, 1)::(2,1)::nil) 582) :: (Proof_certif 29 prime29) :: (Proof_certif 13 prime13) :: (Proof_certif 2 prime2) :: nil)). vm_cast_no_check (refl_equal true). Qed.
imports: PocklingtonRefl