Reduction Modulo N vs. Euclidean Division by N
Read this topicExplanations 1
- Modular Arithmetic : Introduction What is modular arithmetic? We'll get to that in a minute - first start with this. Correct! Another question: Notice that the remainders are th…
By Zi Song Yeoh, Tristan Pollner, Freya Edholm, Alex Federspiel, Victor Wang
Problems 3
- Define a sequence of integers by T1=2T_1 = 2T1=2 and for n≥2n\ge2n≥2, Tn=2Tn−1T_n = 2^{T_{n-1}}Tn=2Tn−1. Find the remainder when T1+T2+⋯+T256T_1 + T_2 + \cdots + T_{256}T1+T…
- Say that an integer n≥2n \ge 2n≥2 is delicious if there exist nnn positive integers adding up to 201420142014 that have distinct remainders when divided by nnn. What is the smal…
- Find the remainder when 9×99×999×⋯×99⋯9⏟999 9’s9 \times 99 \times 999 \times \cdots \times \underbrace{99\cdots9}_{\text{999 9's}}9×99×999×⋯×999 9’s99⋯9 is divided by 10001000…