Find all positive integers n such that n + 1 divides n^2 + 1


Question and Answers Forum

All Questions Topic List
Number Theory Questions
Previous in All Question Next in All Question
Previous in Number Theory Next in Number Theory
Question Number 217030 by ArshadS last updated on 27/Feb/25

$Find all positive integers n such that$ $n + 1 divides n^{2} + 1$
	Answered by Ghisom last updated on 27/Feb/25
	$((n^2 +1)/(n+1))=n−1+(2/(n+1)) for n∈Z we get n∈{−3, −2, 0, 1} ⇒ answer for n>0 is n=1$
	$\frac{n^{2} + 1}{n + 1} = n - 1 + \frac{2}{n + 1}$ $for n \in Z we get n \in {- 3, - 2, 0, 1}$ $\Rightarrow$ $answer for n > 0 is n = 1$
	Commented by ArshadS last updated on 27/Feb/25

	$n i c e! t h a n k y o u s i r!$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum