Problem
NT-B2-M06-P004 The \(a+1\) Case
#4
★★☆☆☆ Level 2 of 5
Find \(v_3(2^{100}-1)\).
\(3\mid2+1\), and \(100\) is even.
Since \(3\mid2+1\) and \(100\) is even, \(v_3(2^{100}-1)=v_3(3)+v_3(100)=1\).
Emphasise the parity condition.