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 2009-09-08, 17:54 #1 R.D. Silverman     "Bob Silverman" Nov 2003 North of Boston 11101001001002 Posts Odds that a Random Prime is a Number? Would anyone like to try answering?
2009-09-08, 17:55   #2
R.D. Silverman

"Bob Silverman"
Nov 2003
North of Boston

22·5·373 Posts

Quote:
 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?

2009-09-08, 18:12   #3
Dougal

Jan 2009
Ireland

101110102 Posts

Quote:
 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?

2009-09-08, 19:09   #4
Uncwilly
6809 > 6502

"""""""""""""""""""
Aug 2003
101ร103 Posts

2×47×113 Posts

Quote:
 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.

2009-09-08, 21:20   #5

"Richard B. Woods"
Aug 2002
Wisconsin USA

1E0C16 Posts

Quote:
 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?

2009-09-08, 22:56   #6
R.D. Silverman

"Bob Silverman"
Nov 2003
North of Boston

22·5·373 Posts

Quote:
 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]..........

2009-09-09, 00:53   #7
Orgasmic Troll
Cranksta Rap Ayatollah

Jul 2003

10100000012 Posts

Quote:
 Originally Posted by R.D. Silverman Would anyone like to try answering?
p = 0

2009-09-09, 04:10   #8
flouran

Dec 2008

15018 Posts

Quote:
 Originally Posted by R.D. Silverman 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

2009-09-09, 06:08   #9
xilman
Bamboozled!

"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across

59×193 Posts

Quote:
 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

2009-09-09, 14:40   #10
Orgasmic Troll
Cranksta Rap Ayatollah

Jul 2003

28116 Posts

Quote:
 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.

2009-09-09, 17:19   #11
R.D. Silverman

"Bob Silverman"
Nov 2003
North of Boston

22×5×373 Posts

Quote:
 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.

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