Determine all possible integer pairs (p,q) such that p+q²+s³=pqs, where s=gcd(p,q) and gcd denotes the
greatest common divisor.
|
|
Submitted by K Sengupta
|
|
Rating: 4.0000 (2 votes)
|
|
|
Solution:
|
(Hide)
|
(p,q,r) = (-1,0,1),(-1,-1, 1), (5,3,1), (5,2,1),(-1,0), (4, 2,1); (4, 6,1);(5, 2,1);(5, 3,1).
EXPLANATION:
Refer to the solution submitted by Steve Herman here, here and, here. |
