MathDB

7

Part of 2017 Hanoi Open Mathematics Competitions

Problems(2)

two last digits of 2^{2017} + 2017^2 (HOMC 2017 J Q7)

Source:

8/7/2019
Determine two last digits of number Q=22017+20172Q = 2^{2017} + 2017^2
number theoryDigits
min of T = x^3 + y^3 when 44 | x^2 + y^2 (HOMC 2017 S Q7 )

Source:

9/8/2019
Let two positive integers x,yx, y satisfy the condition 44/(x2+y2)44 /( x^2 + y^2). Determine the smallest value of T=x3+y3T = x^3 + y^3.
number theorydivisibleminimum