M=10**7+1
#calculate φ(x) for 1<= x<= M　累積和
phi=list(range(M+1))
for x in range(2, M+1):
  if phi[x]==x:
    for y in range(x, M+1, x):
      phi[y]=phi[y]//x*(x-1)
for x in range(2,M+1):
    phi[x]+=phi[x-1] 
#print(phi[:10])
T=int(input())
for _ in range(T):
  S=int(input())
  a,b=S*(S-1)//2,phi[S]-1
  c=a-b
  print(b+2*c)