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Why is the sum of two prime numbers greater than two never prime?
Wiki User
∙ 14y ago
Consider prime numbers p1, p2 greater than 2. Since p1 and p2 are prime and greater than 2, they are both necessarily odd. Hence, they are of the form:
p1 = 2k+1, p2 = 2j+1, where j and k are positive integers. Their sum is then:
p1+p2 = (2k+1)+(2j+1) = 2k+2j+2 = 2 (k+j+1). So 2 divides their sum, hence the sum can't be prime
Wiki User
∙ 14y ago
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There are infinitely many prime numbers which are greater than 30.
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Is a prime number greater than one?
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No. Odd numbers can be greater than, smaller than, or equal to prime numbers.
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There are infinitely many prime numbers which are greater than 30.
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All even numbers greater than 2 have more than two factors.
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No. Odd numbers can be greater than, smaller than, or equal to prime numbers.
Which prime numbers are greater than 20 but less than 30?
23 and 29 are the two prime numbers greater than 20 but less than 30.
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