import sys
readline = sys.stdin.readline

def euler_phi(N):
    euler = [i for i in range(N + 1)]
    for i in range(2, N + 1):
        if euler[i] == i:
            for j in range(i, N + 1, i):
                euler[j] = euler[j] // i * (i - 1)
    
    for i in range(2, N + 1):
        euler[i] = i - euler[i] - 1
    euler[1] = 0
        
    return euler        
    


T = int(readline())
MAX_N = 10 ** 7 + 5
L = euler_phi(MAX_N)
Ac = [0] * MAX_N
for i in range(MAX_N-1):
    Ac[i + 1] = Ac[i] + L[i + 1]

for _ in range(T):
    N = int(readline())
    print(Ac[N] + N * (N - 1)//2)