No.
Given any positive integer N, the set of N consecutive numbers
from (N + 1)! + 2
to (N + 1)! + N + 1
are composite.
This is because, for 2 ≤ k ≤ n+1,
(n + 1)! is divisible by k and so (n + 1)! + k is also divisible by k.
8
The maximum difference is 8, between 89 and 97.
2 and 3 are the first two prime numbers. The difference between them is 1
All prime numbers are odd numbers, except for the number 2. The difference between two odd numbers must be a multiple of 2. So, if the difference between two prime numbers is another prime number, that difference must be 2.Examples:{3, 5}{5, 7}{11, 13}{29, 31}
11 and 7 have a difference of 4.
Multiples aren't prime.
Any prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. So, the difference between two prime (and odd) numbers could be 2, 4, or 6, of the numbers given. The difference could not be 3, 5, or 7.
what are prime numbers
Not a lot. They're both prime numbers. A factor that is prime is used to make other numbers.
As the number 2 is the only even prime number then a difference of 1 occurs only between 2 and 3. All other prime numbers are odd and therefore the minimum difference between successive prime numbers is 2.
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.
43 and 17.