## Prime Numbers

Prime numbers are all the natural numbers with exactly two divisors. Hence number 1 is not a prime number and number 2 is the only even prime number. Euclid has proved that an infinity of prime numbers exists. And it is proven too that the intervals in the sequence of primes are not limited whatsoever.

Twin primes are two primes with a difference of two e.g. 10007 and 10009 or 1000018709 and 1000018711.

If the difference between the upper and the lower limit exceeds 50000 the range is automatically limited to 50000.

### Example:

```Prime Numbers between 1000000000 and 1000001000
1000000007 1000000009 1000000021 1000000033 1000000087
1000000093 1000000097 1000000103 1000000123 1000000181
1000000207 1000000223 1000000241 1000000271 1000000289
1000000297 1000000321 1000000349 1000000363 1000000403
1000000409 1000000411 1000000427 1000000433 1000000439
1000000447 1000000453 1000000459 1000000483 1000000513
1000000531 1000000579 1000000607 1000000613 1000000637
1000000663 1000000711 1000000753 1000000787 1000000801
1000000829 1000000861 1000000871 1000000891 1000000901
1000000919 1000000931 1000000933 1000000993
49 Prime Numbers```