the first one is 2, the last one is.. doesn't exist.
Let Pn be the n-th prime number. For all interger N, (P1xP2xP3x....xPN)+1 is not divisible by Pn for all n from 1 to N, and hence is another prime number. So, for every discovered prime number, there is at least one other prime ((P1xP2xP3x..xPN)+1) larger than it.
regarding your additional comment..
prime number is defined to be is a positive integer that has no positive integer p>1 divisors other than 1 and p itself. So, from definition alone, it has excluded 0 and 1.
Actually, 0/0 is not 0. It is undefined. However, u can simply define the discontinuity at 0/0 to be 0 in this case. But even so, this has nothing to do with prime number, from the definition of prime.
I know u find 0 fascinating. In fact, like infinity, it is. It always has a special place in mathematics. A lot of time, when defining mathematical objects, 0 is defined explicitly because it has a special place. It is the point of inflection of +ve and negative, it is a additive identity, A+0=A, and for any number is its multiplicative identity, A0=0...with the exception of infinity(infinity is not a number anyway). For example, the set {0} with its normal + - and x operations is a Ring. And if u define 0/0=0, and adding / operation, it is a Field. But, this is trivial and of not much use. The point is, 0 is indeed special although it is not a prime.
2006-06-06 12:39:09
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answer #1
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answered by Anonymous
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I think you may have the wrong understanding of what a prime number is. Prime numbers are any number that can't be divided by any number other than itself and one to come up with a whole number.
So, for example, if you divide 7 by 5 you get 1.4. This result is not a whole number. So 7 is prime. If you divide 20 by 5, you get 4. This is a whole number. So 20 is not primes, because it has whole multiples. Here are some prime numbers:
0, 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 43, 47, 51, 53, etc.
2006-06-13 11:47:08
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answer #2
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answered by MyBestFriendIsMuslim.....So? 4
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The first few primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, ...
http://mathworld.wolfram.com/PrimeNumber.html
2006-06-06 20:08:16
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answer #3
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answered by Sancira 7
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The first prime number is 2. There is no last prime number.
2006-06-06 19:33:46
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answer #4
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answered by MsMath 7
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first is two, and u can go ahead and try to find the highest prime number known. that'll take awhile. oh, and 1 IS NOT A PRIME NUMBER
ur abacus? u have an abacus? what?
2006-06-06 19:35:44
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answer #5
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answered by leroyjenkinson 2
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The first prime number is 2, and the last prime number is...wait... I had it written down on a piece of paper......oh &*&%$#@, I can't believe I LOST it!
2006-06-06 22:55:18
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answer #6
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answered by Prof. Frink 3
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first is 1 then 2 and other than that its infinite
2006-06-06 19:35:09
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answer #7
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answered by Anonymous
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