MathDB

2

Part of 2017 Hanoi Open Mathematics Competitions

Problems(2)

diophantine 2^x - y^2 = 1 (HOMC 2017 J Q2)

Source:

8/7/2019
How many pairs of positive integers (x,y)(x, y) are there, those satisfy the identity 2x−y2=12^x - y^2 = 1?
(A): 11 (B): 22 (C): 33 (D): 44 (E): None of the above.
number theorydiophantineDiophantine equation
diophantine 2^x - y^2 = 4 (HOMC 2017 S Q2)

Source:

9/8/2019
How many pairs of positive integers (x,y)(x, y) are there, those satisfy the identity 2x−y2=42^x - y^2 = 4?
(A): 11 (B): 22 (C): 33 (D): 44 (E): None of the above.
Diophantine equationdiophantinenumber theory