MathDB

4

Part of 2020 Grand Duchy of Lithuania

Problems(1)

n = a^2 + b^3 + c^3 + d^5

Source: 2020 Grand Duchy of Lithuania, Mathematical Contest p4 (Baltic Way TST)

10/3/2020
We shall call an integer n cute if it can be written in the form n=a2+b3+c3+d5n = a^2 + b^3 + c^3 + d^5, where a,b,ca, b, c and dd are integers. a) Determine if the number 20202020 is cute. b) Find all cute integers
number theory