Odds that a Random Prime is a Number?

[R.D. Silverman]

Would anyone like to try answering?

[R.D. Silverman]

Originally Posted by R.D. Silverman

Would anyone like to try answering?

How about determining the odds that a given prime is a random number?

[Dougal]

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?

[Uncwilly]

Originally Posted by Dougal

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.

[cheesehead]

Originally Posted by R.D. Silverman

How about determining the odds that a given prime is a random number?

Can a single number be random?

[R.D. Silverman]

Originally Posted by cheesehead

Can a single number be random?

Consider the discrete uniform distribution over Z in (1,3)

note that I did not write [1,3]..........

[Orgasmic Troll]

Originally Posted by R.D. Silverman

Would anyone like to try answering?

p = 0

[flouran]

Originally Posted by R.D. Silverman

Would anyone like to try answering?

I apologize for being forthright, but.....


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

[xilman]

Originally Posted by R.D. Silverman

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

[Orgasmic Troll]

Originally Posted by xilman

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.

[R.D. Silverman]

Originally Posted by Orgasmic Troll

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.