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Can an even number greater than 4 be written as the sum of 2 prime numbers if you use 2 as one of the primes?
Wiki User
∙ 10y ago
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.
Wiki User
∙ 10y ago
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What do you call numbers greater than 1 that are not primes?
Composite
Why are prime number considered the building blocks of the natural numbers?
All natural numbers greater than 1 the product of 1 and one or more primes.
How do you find twin primes of number?
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.
Can you list all the composite numers numbers?
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?
Prove that if every even natural number greater than 2 is the sum of two primes then every odd natural number greater than 5 is the sum of three primes?
Given an arbitrary odd natural number greater than five, x, let y = x - 3, then y is an even number greater than 2. By assumption we have that y is the sum of two primes, say y1 and y2, but then x = y1 + y2 + 3 (which is the sum of three primes).
Can an even number greater than 4 be written as the sum of two prime numbers if you use 2 as one of the primes?
No.
Which prime numbers are greater than 100?
There are an infinite number of primes greater than any number given.
How many of the prime numbers between 10 and 20 can be written as the sum of two primes?
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.
What is the longest number string that only consists of prime numbers?
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.
Is every whole number greater than one either prime or can be expressed as the sum of primes in exactly one way?
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
What do you call numbers greater than 1 that are not primes?
Composite
Why are prime number considered the building blocks of the natural numbers?
All natural numbers greater than 1 the product of 1 and one or more primes.
Can every odd number greater than 3 be written as the sum of two prime numbers?
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).
Is there a pattern in the prime and composite numbers between 1 to 100?
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.
Two consecutive prime numbers which differ by 2 are said to be twin primes while two numbers whose hCF is 1 are called co-primes how many pairs of co-primes are between 1 and 50?
Any number greater than one can be co-prime. I guess the answer is 49.
What two numbers have no common factors greater than one?
They are called co-primes.
How do you find twin primes of number?
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.
