import sys
# input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################
p = []
pmax = 3000000 + 10
a = [-1]*(pmax+1)
for i in range(2,pmax+1):
    if a[i]==-1:
        p.append(i)
        for j in range(i,pmax+1,i):
            a[j] = i
plen = len(p)

def f(x):
    for i in p:
        if x==i:
            return 1
        if x%i==0:
            return 0
    return 1

def is_prime(x):
    if x == 1:
        return 0
    if a[x]==x:
        return 1
    return 0
        

def fastfact(x):
    r = []
    while x > 1:
        p = a[x]
        c = 0
        while a[x]==p:
            x//=p
            c += 1
        r.append((p, c))
    return r
def calc(i):
    res = fastfact(i)
    x = 1
    for p, c in res:
        z = 0
        y = 1
        for _ in range(c + 1):
            z += y
            y *= p
        x *= z
        x %= m
    # print(i, x)
    return x
m = 10 ** 5 + 3

b = [0] * m
for i in range(1, m):
    b[i] = calc(i)

n, k = na()
k -= 1

if k == 0:
    print(n)
    exit()

k -= 1
n = calc(n)

# print(k)
# print(n)
while k:
    if k % 2:
        n = b[n]
    c = [0] * m
    for i in range(n):
        c[i] = b[b[i]]
    b = c
    k >>= 1

print(n)