Menu Close

Find-all-pairs-k-n-of-positive-integer-for-which-7-k-3-n-divides-k-4-n-2-




Question Number 100888 by bramlex last updated on 29/Jun/20
Find all pairs (k,n) of positive   integer for which 7^k −3^n  divides  k^4 +n^2  .
$${Find}\:{all}\:{pairs}\:\left({k},{n}\right)\:{of}\:{positive}\: \\ $$$${integer}\:{for}\:{which}\:\mathrm{7}^{{k}} −\mathrm{3}^{{n}} \:{divides} \\ $$$${k}^{\mathrm{4}} +{n}^{\mathrm{2}} \:. \\ $$

Leave a Reply

Your email address will not be published.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