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What is a counter example for the statement that all odd numbers are prime?
SitiAishahZubir
9 = 3 x 3
15 = 3 x 5
etc. Any odd number that is composite.
But 2 is a Prime number which is not an odd number.
[Wrong question: that is a counter example to all primes are odd numbers]
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∙ 11y ago
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What number would be a counter example to the following conjecture. Prime numbers are odd?
The number 2 is even as well as prime.
What is a counterexample to the statement all prime numbers are odd?
2 is a prime number.
What is the converse statement for the odd natural numbers less than 8 are prime?
If odd natural numbers are less than 8, then they are prime.
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.
What are numbers that have exactly 4 factors?
Those numbers would have to have following forms of prime factors:a3, where a is any prime number. For example, 23 = 8.ab, where a and b are two different prime numbers. For example, 2 x 3 = 6.
What is counter example?
A counter example is a proof of a negation of a universal statement.A statement of the form "all X are Y" (e.g. all men are mortal), can be disproved by providing a counter example (here: something (someone) which is both a man and immortal).A more mathematical example of the use of a counter example could be to disprove the statement "the product of two prime numbers is odd". This is a claim about all numbers which are the product of two prime numbers (all elements in the set {n in N | n = p*q where p and q are prime numbers}). This set contains infinitely many pair numbers, but a single example (or witness), is enough to disprove the statement. Four is such a number and can serve as a counter example.
What is a counter example to the statement that all odd numbers are prime?
9 = 1 x 9 and 3 x 3. Therefore, the odd number 9 is not a prime number.
What is a counter example?
A counter example occurs when somebody makes a claim that all members of some category of things have a particular property, and then someone else proves that the claim is not true by showing an example of a thing in the category that does not have the property claimed. For example, if someone claimed that "All presidents of the United States are dead white men", then Barack Obama would be a counter-example because he is a president of the United States but isn't a dead white man. For another example, if someone claimed that all mammals bear live young, the echidna and the platypus would be counter-examples because they are mammals that lay eggs. For another example, if someone claimed that the United States is the only country that has never defaulted on its debts, Australia and Tuvalu would be counter-examples. The claim is logically equivalent to saying that all countries in the category of being not the USA have defaulted on a debt at least once,.... For another example, if someone claimed that all prime numbers are odd, "2" would be a counter example. Or if someone claimed that all odd numbers are prime "9" would be a counter-example. In short, a counter-example to a proposition or claim is an example that proves that the proposition or claim is not true.
What number would be a counter example to the following conjecture. Prime numbers are odd?
The number 2 is even as well as prime.
What does counter example mean in math terms?
It is an example that demonstrates, by its very existence, that an assertion is false. Usually experience suggests that the assertion is true: there is a large amount of supporting "evidence" but the statement has not been proven. The counter-example, though demolishes the assertion For example: Assertion: all prime numbers are odd. Counter example: 2. It is a prime but it is not odd. Therefore the assertion is false. This was a favourite "trap" at GCSE exams in the UK. Assertion: if you divide a nuber it becomes smaller. Counter example 1: 2 divided by a half is, in fact, 4. Counter example 2: -10 divided by 2 is -5 (which is larger by being less negative).
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 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 is this a true statement?
No.
If some Numbers are Integers and some Integers are Prime then all Numbers are definitely Prime This statement is?
False
What is a counterexample to the statement all prime numbers are odd?
2 is a prime number.
What is a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
What a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
