import sys
input = sys.stdin.readline

m = 10**7
P = list(range(m + 1))
for i in range(2, m + 1):
    if P[i] == i:
        for j in range(i, m + 1, i):
            P[j] = P[j] // i * (i - 1)
for i in range(2, m + 1):
    P[i] += P[i - 1]
for _ in range(int(input())):
    n = int(input())
    a, b = n * (n - 1) // 2, P[n] - 1
    c = a - b
    print(b + 2 * c)