mx = 10 ** 7

pt = [0] * (mx + 1)
euler = [1] * (mx + 1)
for i in range(2, mx + 1):
	if pt[i] == 0:
		for j in range(i, mx + 1, i):
			euler[j] *= i - 1
			k = j // i
			while k % i == 0:
				k //= i
				euler[j] *= i
			pt[j] = 1

for i in range(1, mx):
	euler[i+1] += euler[i]

T = int(input())
for _ in range(T):
	n = int(input())
	v = euler[n] - 1
	print(2*(n * (n-1) // 2 - v) + v)