Not necessarily. 71 is a Prime number, 7 is a prime number, and 71-7= 64, which is NOT a prime number.
In most cases, the difference of two prime numbers will not be a prime number. All prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. Unless that even number is 2, it is not a prime number. Here are some additional examples:
19, 13: difference 6, not prime
23, 7: difference 16, not prime
53, 31: difference 22, not prime
61, 59: difference 2, prime
113, 109: difference 4, not prime
293, 283: difference 10, not prime
331, 101: difference 230, not prime
5
Prime numbers have two factors. Composite numbers have more than two.
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}
5 = 2+3 = 7-2
The difference when subtracting the prime number 2 from the prime number 127 is 125. No other two prime numbers added together or subtracted from each other have a sum or difference of 125. All primes except the number 2 are odd numbers, and two odd numbers added together or subtracted will always produce an even sum or difference.
2 and 3 are the first two prime numbers. The difference between them is 1
5
5
11 and 7 have a difference of 4.
5
Prime numbers have two factors. Composite numbers have more than two.
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}
5 = 2+3 = 7-2
The difference when subtracting the prime number 2 from the prime number 127 is 125. No other two prime numbers added together or subtracted from each other have a sum or difference of 125. All primes except the number 2 are odd numbers, and two odd numbers added together or subtracted will always produce an even sum or difference.
There can only be one largest two-digit prime number.
The difference between prime and composite numbers is simple. Prime numbers have only two factors, 1 and itself. Composite numbers are divisible by more than two 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.