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Old 2009-09-08, 17:54   #1
R.D. Silverman
 
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Default Odds that a Random Prime is a Number?

Would anyone like to try answering?
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Old 2009-09-08, 17:55   #2
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Would anyone like to try answering?
How about determining the odds that a given prime is a random number?
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Old 2009-09-08, 18:12   #3
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Odds that a Random Prime is a Number?
ill take a guess that any random prime is gaurenteed to be a number,pretty safe bet if you ask me?
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Old 2009-09-08, 19:09   #4
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ill take a guess that any random prime is gaurenteed to be a number,pretty safe bet if you ask me?
I concur, in most cases.
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Old 2009-09-08, 21:20   #5
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How about determining the odds that a given prime is a random number?
Can a single number be random?
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Old 2009-09-08, 22:56   #6
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Originally Posted by cheesehead View Post
Can a single number be random?
Consider the discrete uniform distribution over Z in (1,3)

note that I did not write [1,3]..........
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Old 2009-09-09, 00:53   #7
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Originally Posted by R.D. Silverman View Post
Would anyone like to try answering?
p = 0
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Old 2009-09-09, 04:10   #8
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Would anyone like to try answering?
I apologize for being forthright, but.....


Is this a f***ing joke????

Last fiddled with by flouran on 2009-09-09 at 04:12
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Old 2009-09-09, 06:08   #9
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Quote:
Originally Posted by R.D. Silverman View Post
Would anyone like to try answering?
Please define your terms more rigorously and I may give it a go.

What do you mean by "prime"? Is it an element of N, of Z, of some (so far unspecified) number field or some other quantity entirely?

I think I probably know what you mean by "number" --- an element of C --- but clarification would be helpful.

What do you mean by "random" in this case? Selected according to some distribution from a specified set of primes, perhaps?

About the least ambiguous of the terms you use is "odds", where I think we can safely assume that you are using the colloquial meaning. If not, please clarify.

Paul
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Old 2009-09-09, 14:40   #10
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Originally Posted by xilman View Post
Please define your terms more rigorously and I may give it a go.

What do you mean by "prime"? Is it an element of N, of Z, of some (so far unspecified) number field or some other quantity entirely?

I think I probably know what you mean by "number" --- an element of C --- but clarification would be helpful.

What do you mean by "random" in this case? Selected according to some distribution from a specified set of primes, perhaps?

About the least ambiguous of the terms you use is "odds", where I think we can safely assume that you are using the colloquial meaning. If not, please clarify.

Paul
I think the set of all primes is pretty apparent. There's prime numbers, prime ideals, optimus prime, prime time, WSJ prime rate, prime suspect, etc. Since the set of all primes contains the set of all first derivatives of functions, it is uncountable, thus the probability that a random prime is a number is 0.
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Old 2009-09-09, 17:19   #11
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Quote:
Originally Posted by Orgasmic Troll View Post
I think the set of all primes is pretty apparent. There's prime numbers, prime ideals, optimus prime, prime time, WSJ prime rate, prime suspect, etc. Since the set of all primes contains the set of all first derivatives of functions, it is uncountable, thus the probability that a random prime is a number is 0.
You left out the prime directive.
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