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.
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.
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.