MathDB
1^1+2^2+3^3+. . .+2021^{2021} mod 35

Source: (2021-) 2022 XV 15th Dürer Math Competition Finals Day 2 E+14

December 12, 2022
number theoryremainder

Problem Statement

Benedek scripted a program which calculated the following sum: 11+22+33+...+202120211^1+2^2+3^3+. . .+2021^{2021}. What is the remainder when the sum is divided by 3535?