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True or false if two numbers a relatively prime one of the must be prime?
Wiki User
∙ 14y ago
False. Consider 4 and 9. Neither are prime, but they have no common factors other than 1 and are therefore relatively prime. More generally, any two numbers p^n and q^n where p, q both prime and n<>p or q and n>1 are relatively prime. This is by no means all pairs of relatively prime numbers, but it's an easy way to find examples where neither of the pair is prime.
Wiki User
∙ 14y ago
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Is the sum of all prime numbers less than 8 is 17 true or false?
1 + 2 + 3 + 5 + 7 = 18 False sorry, that is true, since 1 is not considered a true prime by definition
True or false All whole numbers are natural numbers?
False
Is the set of number from one to ten is a finite set true or false?
if by Numbers you mean Integers, then the answer is TRUE. if it is real numbers, then it is false.
True or false The set of whole numbers includes zero but the natural numbers do not?
true
True or False The category of numbers called integers includes negative numbers?
It is false. It does not include negative fractional numbers.
Are two compiosite numbers relatively prime true or false?
Any two prime numbers are relatively be prime?
Is it true or false that two composite numbers are relatively prime and explain?
Two composite numbers may or may not be relatively prime, depending on their factors. Relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.
How Only odd numbers are prime numbers true or false?
False.
No even numbers are prime numbers true or false?
2 is prime
If some numbers are Integers and some numbers are prime then all numbers are prime Is this a true or false statement?
false
True or false the greatest common factor of two relatively prime numbers is always 1?
True. By definition for two numbers to be relatively prime they must not share any common factors. So their greatest (and only) common factor would be 1.
Is it true that prime numbers can never be even numbers?
No, 2 is prime.
Is it true that two different prime numbers are relatively prime?
Any two different prime numbers are relatively prime because relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor.
The sum of prime numbers cannot be a prime true or false?
False - 2 + 11 = 13.
If some Numbers are Integers and some Integers are Prime then all Numbers are definitely Prime This statement is true or false?
The statement is false.
Is it true or false that only odd numbers are prime numbers And why?
False because 2 is an even number which is also a prime number.
Is it true that two distinct prime numbers can are relatively prime?
It is true. Two numbers are relatively prime if they do not have any factors in common greater than 1. A prime number has only two factors - 1 and itself. Thus, two different prime numbers will only have 1 as a common factor, which means they are relatively prime.
