Menu Close

Question-100290




Question Number 100290 by Harasanemanabrandah last updated on 26/Jun/20
Commented by Rasheed.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.
Ifnismultipleof3then3n+n3isobviouslycomposite(33n+n3)Ifnisoddthen3n+n3iscomposite(23n+n3)Henceforn{3,6,9,}{1,3,5,}thegivenexpressioniscomposite.

Leave a Reply

Your email address will not be published. Required fields are marked *