Sinmple Groups of ordefs 2 a13 bp cq d and 2 a17 bp cq d are obtained with the theorem of classification of the simple group and the exponent Diophantine equation. With the same method, all K 4 Simple Groups of order 2 ap bq cr d(p is any definite prime except 3, q and r are any different primes unequal to p can be obtained.