L = (111 + 11111)* generates the strings {ϵ, 111, 11111, 111111, 11111111, …….}
i.e. it generates any string which can be obtained by repetition of three and five 1’s (means length 3, 6, 8, 9, 10, 11, …}
The DFA for the L = (111 + 11111)* is given below.