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If some Numbers are Integers and some Integers are Prime then all Numbers are definitely Prime This statement is?
False
Is it true that all the prime numbers are odd?
That is false. Two is a prime number and two is even.
Is all odd numbers greater than three are prime true or false?
False. An enormous number of them are divisible by three.
What is the relationship between prime numbers that is revealed by Shinichi Mochizuki of Kyoto University's proving the abc conjecture?
This is far outside my own field of knowledge. All I can do is to point you toward a secondary source.
Are prime numbers rational numbers?
All prime numbers are rational.
If some numbers are Integers and some numbers are prime then all numbers are prime Is this a true or false statement?
false
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.
If some nunbers are integers and some integers are prime then all numbers are prime true or false?
False.
If some Numbers are Integers and some Integers are Prime then all Numbers are definitely Prime This statement is?
False
F some Numbers are Integers and some Integers are Prime then all Numbers are definitely Prime This statement is?
False
Is it true that all the prime numbers are odd?
That is false. Two is a prime number and two is even.
Are all odd numbers prime numbers?
No because 2 is an even number which is also a Prime number that has only two factors which are itself and one.
Is all odd numbers greater than three are prime true or false?
False. An enormous number of them are divisible by three.
Why only one counterexample is necessary to show that a conjecture is false?
To be true a Conjecture must be true for all cases.
What conjecture can you make about the sum of the first 46 positive odd numbers?
Any conjecture you want; a conjecture is merely an opinion or conclusion based on given information. Whether the conjecture is true or not is left to be proved (if provable at all). One opinion (conjecture) could be that the sum is "blue". It's a totally nonsense conjecture, but its a conjecture none the less. A sensible conjecture might be that the sum is odd. This can be tested and found to be true or false by summing the first 46 odd numbers (a mechanical method that is fairly easy in this case), or by the mathematical manipulation of axioms via algebra (a mathematical proof).
What is the conjecture that states that all even numbers over 2 can be expressed as the sum of two primes?
Goldbach's conjecture
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.
