论文标题
同一形式的$φ_3(x)$的主要因素
Prime factors of $Φ_3(x)$ of the same form
论文作者
论文摘要
我们将解决方案参数化$φ_3(x)=φ_3(a_1)φ_3(a_2)\cdotsφ_3(a_n)$当每个$φ_3(a_i)$都是prime时。我们的重点是当$ n = 2,3,4 $的特殊情况上,因为此分析简化并扩展了奇数完美数字的主要因素的总数。
We parameterize solutions to the equality $Φ_3(x)=Φ_3(a_1)Φ_3(a_2)\cdotsΦ_3(a_n)$ when each $Φ_3(a_i)$ is prime. Our focus is on the special cases when $n=2,3,4$, as this analysis simplifies and extends bounds on the total number of prime factors of an odd perfect number.