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If
then G can not be simple by Theorem
1.2. This same result can be applied to a large number of orders in our
given range. The list of these orders eliminated where
,
for n-odd, would be as follows;
201, 203, 205, 209, 213, 215, 217, 219, 221, 235, 237, 245, 247, 249,
253, 259,
265, 267, 287, 291, 295, 297, 299, 301, 303, 305, 309, 319, 321, 323,
327, 329,
335, 339, 341, 355, 365, 371, 377, 381, 391, 393, 395
See the factor tables for verification.
2001-05-08