All prime numbers greater than 2 are odd numbers. For an odd prime to be written as the sum of two primes, one of the primes must be 2 because two odd primes will produce an even sum. 11 cannot be written as the sum of two primes. 13 = 2 + 11. 17 cannot be written as the sum of two primes. 19 = 2 + 17.
5
It is not. Of the infinitely many primes only one (the number 2) is even, the rest are all odd. The sum of any two primes other than 2 is even and therefore not a prime. If one of the primes in the sum is 2 then the sum is a prime only if the other is the lower of a pair of twin primes. So, while it is possible, it is certainly more likely that the sum is a composite.
One.
There are no two primes whose sum is 209.
5
5
3 + 2 = 5 = 7 - 2
All prime numbers greater than 2 are odd numbers. For an odd prime to be written as the sum of two primes, one of the primes must be 2 because two odd primes will produce an even sum. 11 cannot be written as the sum of two primes. 13 = 2 + 11. 17 cannot be written as the sum of two primes. 19 = 2 + 17.
5
It is not. Of the infinitely many primes only one (the number 2) is even, the rest are all odd. The sum of any two primes other than 2 is even and therefore not a prime. If one of the primes in the sum is 2 then the sum is a prime only if the other is the lower of a pair of twin primes. So, while it is possible, it is certainly more likely that the sum is a composite.
To express the numbers 46 and 38 as the sum of two odd primes, you can use the following combinations: For 46: 46 = 43 (a prime number) + 3 (a prime number) 46 = 41 (a prime number) + 5 (a prime number) For 38: 38 = 37 (a prime number) + 1 (a prime number) 38 = 31 (a prime number) + 7 (a prime number) So, 46 can be expressed as the sum of two odd primes in two ways, and 38 can also be expressed as the sum of two odd primes in two ways.
One.
For a 2-digit prime number (which are all odd) to be the sum of two prime numbers, one of the prime numbers will have to be 2. That means the difference between the sum and the other addend will have to be 2. Prime numbers that differ by 2 are called twin primes. There are six pairs of 2-digit twin primes. Your numbers are 13, 19, 31, 43, 61 and 73.
There are no two primes whose sum, difference, product or quotient is 97. However, there may be some non-standard binary operation such that two primes can be combined to make 97.
There are no two primes whose sum is 209.
There are no two consecutive primes whose sum, difference, product or quotient is 56.However, there may be some non-standard binary operation such that two primes can be combined to make 56.