mod = 10 ** 9 + 7
mod2 = 10 ** 9 + 6

B2 = B // 2
B21 = B2 + 1
cnt = [0] * max(A, B21)    
A -= 1
lastBi = lastval = 1
for i in range(B2, A, -1):
    Bi = B // i
    if Bi != lastBi:
        lastBi = Bi
        lastval = pow(Bi, N, mod2)
        for n in range(i + i, B21, i):
            lastval -= cnt[n]
        lastval = (lastval - Bi + Bi // 2) % mod2
    cnt[i] = lastval
lastAi = lastBi = lastval = 0
for i in range(A, 1, -1):
    Bi = B // i
    Ai = A // i
    if Bi != lastBi or Ai != lastAi:
        lastAi, lastBi = Ai, Bi
        lastval = pow(Bi - Ai, N, mod2)
        for n in range(i + i, B21, i):
            lastval -= cnt[n]
        lastval = (lastval - Bi + Bi // 2) % mod2
    cnt[i] = lastval
ret = 1
for i in range(B, B // 2, -1):
    ret = ret * i % mod
for i in range(B // 2, 1, -1):
    ret = ret * pow(i, cnt[i], mod) % mod
print(ret)