No. 2 is the only even Prime number, and if you add an even number and an odd number, the result will always be odd.
Composite
All natural numbers greater than 1 the product of 1 and one or more primes.
To find twin primes of a given number, iterate through the numbers starting from the given number, and for each number, check if both the number and the number+2 are prime. If they are, then they form a pair of twin primes with the given number.
NO because there is an infinite number of them, just like there is an infinite number of primes. In fact, if there is an infinite number of primes there must be an infinite number of composite numbers too... do you see why?
The number is 397.
No.
There are an infinite number of primes greater than any number given.
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.
The longest string of consecutive numbers that are primes is two digits long, consisting of 2 and 3 only. There are no other consecutive numbers that are primes because no even numbers greater than 2 are primes.
Yes it is called the fundamental theorem of arithmeticand it says that every whole number greater than one, the natural numbers, can be written as a unique product of primes. Dr. Chuck Mathdoc
Composite
All natural numbers greater than 1 the product of 1 and one or more primes.
No.Consider that every prime number except 2 is an odd number.Consider also that the sum of two odd numbers is always an even number.Thus, the only case in which an odd number can be expressed as the sum of two primes is when it is 2 greater than a prime number, since it can take advantage of the only even prime number, 2.For example, 21 can be expressed as 2+19, both of which are primes. However, 27 has no such two primes, since 25 is not prime (5x5=25).
There are some patterns, but none that can help you determine, in all cases, whether the number is a prime or not.For example: * All primes except 2 are odd numbers. However, not all odd numbers are primes. * All primes greater than 3 are of the form 6n - 1, or 6n + 1. However, not all numbers of this form are primes.
Any number greater than one can be co-prime. I guess the answer is 49.
They are called co-primes.
To find twin primes of a given number, iterate through the numbers starting from the given number, and for each number, check if both the number and the number+2 are prime. If they are, then they form a pair of twin primes with the given number.