Problem
NT-B2-M03-P001 Order of Two
#1
★★☆☆☆ Level 2 of 5
Find \( \operatorname{ord}_7(2) \).
Compute powers of \(2\) until \(1\) first appears.
\(2^1\equiv2\), \(2^2\equiv4\), \(2^3\equiv8\equiv1\pmod7\). Since \(1\) did not appear earlier, the order is \(3\).
Basic check of the definition.