mersenneforum.org Odds that a Random Prime is a Number?
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2009-09-14, 06:42   #56
10metreh

Nov 2008

1001000100102 Posts

Quote:
 Originally Posted by retina No, they all went away on holiday, the place is empty today.
I'm still here!

 2009-12-19, 16:14 #57 davar55     May 2004 New York City 23×232 Posts Getting back to RDS's OP: What are the Odds that a Random Prime is a Number? Let R = any random prime chosen from a Universe U. Then by a simple argument that I leave as a homework problem, the probability that R is prime is ONE. We need to determine the probability that R is a number. Use reductio ad absurdum (most appropriate). Assume R is NOT a number. Then R is a prime non-number in U. This contradicts the un-definition of U, which proves R IS a number. QED Last fiddled with by davar55 on 2009-12-19 at 16:17 Reason: to apologize for this non-rigid argument
 2009-12-28, 20:22 #58 Fusion_power     Aug 2003 Snicker, AL 7×137 Posts Methinks your logic is wrong davar. Lets examine the original question a bit more carefully. The question is kind of like saying "cat". Most of us will immediately think of a common house cat. But a biologist might think of a lion, tiger, oscelot, etc. DarJones
 2010-01-14, 07:31 #59 Visu     Nov 2006 Singapore 3×52 Posts Any given prime as in the symbol?
2010-01-15, 01:24   #60
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

926110 Posts
That's a bingo?

Quote:
 ...It is less common to take the blocking a step further and run both iteration stages spread over a small number n' of different sequences, possibly run on different clusters at different locations; in [2] this was done with n' = 4 sequences run on three clusters at two locations. If for each sequence one keeps the first 64n' coordinates of each of the 64 bits wide vectors they generate during the first stage, the number of steps to be carried out (per sequence) is further reduced by a factor of n', while allowing independent and simultaneous execution on possibly n' different clusters. After the first stage the data generated for the n' sequences have to be gathered at a central location where the Berlekamp-Massey stage will be carried out.
Here, a random ' is not a number. Furthermore, in [2], n' was not prime.

2010-10-13, 10:31   #61
lorgix

Sep 2010
Scandinavia

3·5·41 Posts

Quote:
 Originally Posted by Fusion_power Methinks your logic is wrong davar. Lets examine the original question a bit more carefully. The question is kind of like saying "cat". Most of us will immediately think of a common house cat. But a biologist might think of a lion, tiger, oscelot, etc. DarJones
So I guess the real question is how many biologists it takes to count all countable cats. And whether or not to take the uncountable into account.

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