def f(n):
  a=int(n**0.5)
  for i in range(-3,3):
    if (a+i)**2<=n<(a+i+1)**2:
      return a+i
T=int(input())
mod=10**9+7
for _ in range(T):
  a,N=map(int,input().split())
  ans=0
  for i in range(1,a):
    if i>N:
      break
    ans+=f(a*i)
    ans%=mod
  if a-1>=N:
    print(ans)
    continue
  K=[0]*a
  for i in range(a,4*a):
    s=f(i*a)
    K[s-a]+=1
  x=f(N//a)
  #x>=1
  s1=0
  s2=0
  s3=3*a
  kosu=a
  for i in range(a):
    s1+=(i+a)*K[i]%mod
    s2+=(i+a)
    s1%=mod
    s2%=mod
  if x>=2:
    ans+=s1*(x-1)%mod
    ans+=(a*kosu%mod*((x-2)*(x-1)*(2*x-3))//3)%mod
    ans+=(((x-2)*(x-1))//2)*a%mod*s3%mod
    ans+=(x-2)*(x-1)*s2%mod
    ans%=mod
  #(x**2)*a~N
  kk=N-((x**2)*a)+1
  for i in range(a):
    if kk-(K[i]+2*(x-1))<=0:
      ans+=kk*(i+a*x)
      ans%=mod
      break
    else:
      kk-=(K[i]+2*(x-1))
      kk%=mod
      ans+=(i+a*x)*(K[i]+2*(x-1))%mod
      ans%=mod
  print(ans)