Author |
Topic: Subtract Exponent Products, Get 1 (Read 468 times) |
|
K Sengupta
Senior Riddler
Gender:
Posts: 371
|
|
Subtract Exponent Products, Get 1
« on: Jun 25th, 2008, 8:38am » |
Quote Modify
|
Determine all possible quadruplet(s) (P, Q, R, S) of nonnegative integers that satisfy this equation: 2P*3Q – 5R*7S = 1
|
|
IP Logged |
|
|
|
Eigenray
wu::riddles Moderator Uberpuzzler
Gender:
Posts: 1948
|
|
Re: Subtract Exponent Products, Get 1
« Reply #1 on: Jun 26th, 2008, 12:31am » |
Quote Modify
|
I think this theorem will help (for some cases; then reduce to those cases).
|
« Last Edit: Jun 26th, 2008, 12:53am by Eigenray » |
IP Logged |
|
|
|
|