Find the integer n, 0 n 7, such that n -3737 8.

Since -3737 7 8, the integer n we seek is n = 7.

jmc

number theory intermediate

Problem

Find the integer

n

0 \leq n \leq 7

, such that

n \equiv - 3737 (mod 8) .

Solution

Since

- 3737 \equiv 7 (mod 8)

, the integer

n

we seek is

n = 7

Final answer