MathLabs

第5题

Does there exist a 正整数 n n 使得 n n 译文: has exactly 20002000 distinct 素数 因数s 且 n n 译文: divides 2n+12^n+1?
第 5/5 步:R每个2000
n0=9,nr+1=nrpr(1≤r≤1997).n_0=9,\quad n_{r+1}=n_rp_r\quad(1\le r\le1997).
详细分析

Each step adds one distinct 素数, giving exactly 2000 after 1997 steps.