Problem p03830 (python)

Fixed submission:
def PrimeNumber(N):
    if N==2:
        ans=[2]
        return ans
    ans = list(range(2, N + 1))
    i = 0
    while ans[i] < N ** 0.5 + 1:
        j = 2
        temp = ans[i]
        while temp * j <= ans[-1]:
            if temp * j in ans:
                ans.remove(temp * j)
            j += 1
        i += 1
    return ans

N=int(input())

if N==1:
    print(1)
    exit()

mod=10**9+7
PN=PrimeNumber(N)
P=[0]*(N+1)

for i in range(2,N+1):
    temp=i
    for j in PN:
        if temp<j:
            break
        cnt=0
        while temp%j==0:
            cnt+=1
            temp=temp//j
        P[j]+=cnt

ans=1

for i in range(1,N+1):
    if P[i]!=0:
        ans=(ans*(P[i]+1))%mod
print(ans)

Buggy submission (verdict: Runtime Error):
def PrimeNumber(N):
    ans = list(range(2, N + 1))
    i = 0
    while ans[i] < N ** 0.5 + 1:
        j = 2
        temp = ans[i]
        while temp * j <= ans[-1]:
            if temp * j in ans:
                ans.remove(temp * j)
            j += 1
        i += 1
    return ans

N=int(input())

mod=10**9+7
PN=PrimeNumber(N)
P=[0]*(N+1)

for i in range(2,N+1):
    temp=i
    for j in PN:
        if temp<j:
            break
        cnt=0
        while temp%j==0:
            cnt+=1
            temp=temp//j
        P[j]+=cnt

ans=1

for i in range(1,N+1):
    if P[i]!=0:
        ans=(ans*(P[i]+1))%mod
print(ans)

Buggy submission (verdict: Runtime Error):
def PrimeNumber(N):
    ans = list(range(2, N + 1))
    i = 0
    while ans[i] < N ** 0.5 + 1:
        j = 2
        temp = ans[i]
        while temp * j <= ans[-1]:
            if temp * j in ans:
                ans.remove(temp * j)
            j += 1
        i += 1
    return ans

N=int(input())

mod=10**9+7
PN=PrimeNumber(N)
P=[0]*(N+1)

for i in range(2,N+1):
    temp=i
    for j in PN:
        cnt=0
        while temp%j==0:
            cnt+=1
            temp=temp//j
        P[j]+=cnt

ans=1

for i in range(1,N+1):
    if P[i]!=0:
        ans=(ans*(P[i]+1))%mod
print(ans)

Buggy submission (verdict: Runtime Error):
def PrimeNumber(N):
    ans = list(range(2, N + 1))
    i = 0
    while ans[i] < N ** 0.5 + 1:
        j = 2
        temp = ans[i]
        while temp * j <= ans[-1]:
            if temp * j in ans:
                ans.remove(temp * j)
            j += 1
        i += 1
    return ans


N=int(input())

PN=PrimeNumber(N)
c=[0]*(N+1)

for i in range(2,N+1):
    temp=i
    for j in PN:
        while temp>0 and j<=i:
            if temp%j==0:
                c[j]+=1
                temp=temp//j
            else:
                break

ans=1
for i in PN:
    ans*=(c[i]+1)
    ans%=(10**9+7)

print(ans)

Buggy submission (verdict: Runtime Error):
def PrimeNumber(N):
    ans = list(range(2, N + 1))
    i = 0
    while ans[i] < N ** 0.5 + 1:
        j = 2
        temp = ans[i]
        while temp * j <= ans[-1]:
            if temp * j in ans:
                ans.remove(temp * j)
            j += 1
        i += 1
    return ans


N=int(input())

PN=PrimeNumber(N)
c=[0]*(N+1)

for i in range(2,N+1):
    temp=i
    for j in PN:
        if j>i:
            break
        while temp>=j:
            if temp%j==0:
                c[j]+=1
                temp=temp//j
            else:
                break

ans=1
for i in PN:
    ans*=(c[i]+1)
    ans%=(10**9+7)

print(ans)

Buggy submission (verdict: Runtime Error):
def PrimeNumber(N):
    ans = list(range(2, N + 1))
    i = 0
    while ans[i] < N ** 0.5 + 1:
        j = 2
        temp = ans[i]
        while temp * j <= ans[-1]:
            if temp * j in ans:
                ans.remove(temp * j)
            j += 1
        i += 1
    return ans


N=int(input())

PN=PrimeNumber(N)
c=[0]*(N+1)

for i in range(2,N+1):
    temp=i
    for j in PN:
        if j>i:
            break
        while temp>=j:
            if temp%j==0:
                c[j]+=1
                temp=temp//j
            else:
                break

ans=1
for i in PN:
    ans*=(c[i]+1)
ans=ans%(10**9+7)
print(ans)