They only have 2 factors.
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If you notice something, it is [most likely] a false impression. There is no known pattern to prime numbers.
The new number has four factors: 1, the two prime numbers and the new product.
The number 356 is not prime. You should immediately notice that it is an even number, divisible by two, therefore it cannot be prime. Only odd numbers can be prime.
A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
To determine the number of prime numbers between 1 and 8888888888888888888888888888888888888888888888, we can use the Prime Number Theorem. This theorem states that the density of prime numbers around a large number n is approximately 1/ln(n). Therefore, the number of prime numbers between 1 and 8888888888888888888888888888888888888888888888 can be estimated by dividing ln(8888888888888888888888888888888888888888888888) by ln(2), which gives approximately 1.33 x 10^27 prime numbers.