Original: Takeshi Goto and Yasuo Ohno, "Odd perfect numbers have a prime factor exceeding 108", Mathematics of Computation, in press, 2008.
Simplified: The largest prime factor of N is greater than 108 (Takeshi Goto and Yasuo Ohno, 2006). Takeshi Goto and Yasuo Ohno, Odd perfect numbers have a prime factor exceeding 108.