数学季刊 ›› 2014, Vol. 29 ›› Issue (2): 167-170.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.002
摘要： Define the total number of distinct prime factors of an odd perfect number n asω(n). We prove that if n is an odd perfect number which is relatively prime to 3 and 5 and7, then ω(n) ≥ 107. And using this result, we give a conclusion that the third largest prime factor of such an odd perfect number exceeds 1283.
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