from collections import *
from itertools import *
from functools import *
from heapq import *
import sys,math
input = sys.stdin.readline

# calculate φ(x) for 1 <= x <= M

class euler_phi():
    
    def __init__(self,M=10**7):
        *self.phi, = range(M+1)
        for x in range(2, M+1):
            if self.phi[x] == x:
                for y in range(x, M+1, x):
                    self.phi[y] = self.phi[y] // x * (x-1)
                    

M = 10**7
ep = euler_phi(M)
S = [0]*(M+1)
S[1] = 0
for i in range(1,M):
    
    S[i+1]  = S[i] + ep.phi[i+1] + (i - ep.phi[i+1])*2



def answer():
    
    N = int(input())
    
    print(S[N])
    
    
    
    
for _ in range(int(input())):
    answer()