What is a Prime Number?

What is a prime number? What are they useful for? How to find out whether a number is a prime number? ...

What is a Prime Number?

Postby jips » Thu Oct 10, 2013 7:55 pm

A prime number is a natural number greater than 1 having no positive divisors except 1 and itself. A composite number is a natural number greater than 1 that is not a prime number. For example, 7 is prime because only 1 and 7 evenly divide it, whereas 10 is composite because it has the divisors 2 and 5 in addition to 1 and 10 itself. Have fun!
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Re: What is a Prime Number?

Postby bankhacker » Mon Dec 02, 2013 2:13 pm

I have always have a doubt:

Is number 1 a prime number?
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Re: What is a Prime Number?

Postby macroenanito » Mon Dec 02, 2013 5:28 pm

Well, actually I have a similar question too: Is zero really a prime number? Has that any sense?
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Re: What is a Prime Number?

Postby TripleJ » Mon Dec 02, 2013 5:47 pm

According to the definition, it is compulsory that a number to be prime must first be superior to 1. So, numbers 1 and 0 cannot be prime numbers, as well as negative numbers. Nevertheless questioning about this extrem cases have any sense is really interesting. Just throwing another point of view: Can prime number concept be extrapolated to real numbers somehow? :?:
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