Question Number 100290 by Harasanemanabrandah last updated on 26/Jun/20

Commented byRasheed.Sindhi last updated on 26/Jun/20

 ^• If  n is multiple of 3  then 3^n +n^3    is obviously  composite (3 ∣ 3^n +n^3 )   ^• If n is odd then 3^n +n^3  is composite  ( 2 ∣ 3^n +n^3 )  Hence for n∈{3,6,9,...}∪{1,3,5,...}  the given expression is composite.