Find all prime numbers from 10 to 10000

Question

primes = [2,3,5,7]
for n in range(10, 10000):
    isPrime = True
    for d in primes:
        if (n % d) == 0:
            isPrime = False
        else:
            primes.append(n)
            break
print(primes[n])

I have to print all the prime numbers from 10 to 10000 and then append them to the given array of first few prime numbers. My code was working earlier as I tested it multiple times. Now it throws me an an error "list index out of range". Not sure what's wrong thought I was on the right track.

Answer 1

I think you should start with something like this

You need to iterate over all the prime numbers before you can append to the list. Otherwise, you'll always break that loop on odd numbers (you modded with 2)

primes = [2,3,5,7]
for n in range(10, 10000):
    isPrime = True
    for d in primes:
        if n % d == 0:
            isPrime = False
            break 
    if isPrime:
        primes.append(n)
print(primes)