from collections import defaultdict
N = int(input())
A = list(map(int, input().split()))
M = 10**6
# M=20
K = 20
fact = [1]*(M+1)
isprime = []
for i in range(2, M+1):
    if fact[i] > 1:
        continue
    isprime.append(i)
    for j in range(i*2, M+1, i):
        if fact[j] == 1:
            fact[j] = j//i

count = {p: [0]*(K+1) for p in isprime}
for i, a in enumerate(A):
    f = defaultdict(int)
    while a > 1:
        q = a//fact[a]
        f[q] += 1
        a = fact[a]
    for p in f:
        count[p][f[p]] |= 1 << i

for p in count:
    for i in range(K, 0, -1):
        count[p][i-1] |= count[p][i]
    count[p][0] = (1 << N)-1

ans = [0]*(N+1)
ans[0] = 1
for i in range(2, M+1):
    f = defaultdict(int)
    a = i
    while a > 1:
        q = a//fact[a]
        f[q] += 1
        a = fact[a]
    ct = (1 << N)-1
    for p in f:
        ct &= count[p][f[p]]
    c = str(bin(ct)).count('1')
    ans[N-c] = i

for i in range(N-1):
    ans[i+1] = max(ans[i], ans[i+1])
print(*ans[:-1], sep='\n')