Linked Questions

1
vote
2answers
51k views

Is zero an even number? [duplicate]

A quick google returns the answer on the parity of zero: Zero is an even number. In other words, its parity—the quality of an integer being even or odd—is even. The simplest way to prove that zero is ...
-1
votes
3answers
389 views

Zero, a mystery. [duplicate]

Is zero even? Is zero a multiple of ANY number? I did some reading, and I found the following: for 1) I see a whole Wiki article saying that this is true, but I just can't understand why? for 2) I ...
-4
votes
1answer
660 views

Is zero even or odd? [duplicate]

This question is already answered on here. head over to that link. I have been sitting here wondering if zero is even or odd and if it is even why is it even. I have no justification for why it is ...
-1
votes
1answer
139 views

How to convince people that 0 is even [duplicate]

Some people say that 0 is neither even nor odd. I say that 0 is even. Is there a simple way to convince people that 0 is even and the statement that "0 is neither even nor odd" is false.
-3
votes
4answers
134 views

Is $0$ an even number? [duplicate]

I have noticed that it is useful to treat $0$ as an even number, and do so. Especially for patterns, puzzles, etc, if I develop a formula that works for something, and uses the parity of the number, ...
1
vote
0answers
49 views

Convince that zero is an even number [duplicate]

Convince that zero is an even number I am not quite sure on this question can anyone help?
118
votes
8answers
19k views

Are half of all numbers odd?

Plato puts the following words in Socrates' mouth in the Phaedo dialogue: I mean, for instance, the number three, and there are many other examples. Take the case of three; do you not think it may ...
39
votes
7answers
39k views

Is zero a prime number?

Is zero a prime number? When talking about prime numbers, it seems like the examples given $(2,3,5,7,11,13,...)$ have the property that they have no factors less than themselves and greater than one. ...
56
votes
6answers
93k views

Is zero positive or negative?

Follow up to this question. Is $0$ a positive number?
8
votes
5answers
5k views

Notation for every odd integer number

I have this equation: $$f(x)=\tan(x)$$ I found the vertical asymptotes to be: $$x=\frac{\pi}{2}k$$ What is the proper notation for that k is equal to every odd number integer(negative,...
13
votes
7answers
6k views

Infinite limits

Does a limit that has the value of infinite exist or not? I've recently come across certain sources that say that if the value of a limit is infinite, then that limit does not exist. This contradicts ...
3
votes
7answers
2k views

Test for an Integer Solution

This came up an a training piece for the Putnam Competition and also in Ireland and Rosen. The question posed was basically: Let $p(x)$ be a polynomial with integer coefficients satisfying that $p(0)...
0
votes
2answers
5k views

How to denote an even number in mathematics? [closed]

I need a sign for an even number (not $a\cdot 2$) in my formula. I tried to google it, but I saw only $2a$. Please tell me if there is a special sign?
2
votes
5answers
188 views

$n^2+3n+2$ is even for any integer $n$

I am trying to prove the following: If n is an integer, then $n^{2}+3n+2$ is even. I tried proving this by contradiction, assuming that $n_{2}+3n+2=2k+1$, but I couldn't continue from that point. ...
2
votes
4answers
835 views

If $a$ is an odd integer then $x^2+x-a = 0$ has no integer solutions

I'm suppose to prove by contrapositive that if $a$ is an odd integer then the equation $x^2+x-a=0$ has no integer solution. By contrapositive: If the equation $x^2+x - a = 0$ has an integer ...

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