Groups of Order p

Every group of order p is isomorphic to the cyclic group Z_p because every element generates the whole group. But all cyclic groups are abelian, and therefore every subgroup of a cyclic group is normal in the group. This result gives us a large number of abelian simple groups. The orders are as follows;

211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269,
271, 277, 281, 283, 293, 307, 311, 317, 331, 337, 347,
349, 353, 359, 367, 373, 379, 383, 389, 397