Hi, A number theorist was invited to a poker game. He was not that good at poker and remembered just a little from his highschool days. Then at the end of the...
12683
clooneman
May 7, 2007 5:28 am
... questions was ... various ... for me, ... Ta hell with that, my question is this: what's the lowest unknown prime? ... Hey everyone, by the way!...
12684
clooneman
May 7, 2007 5:33 am
Perhaps he wasn't giving back the cards from the previous hands? ... at poker ... end of ... pairs."...
12685
cino hilliard
hillcino368
May 7, 2007 4:34 pm
... Big Hint: It has to do with prime numbers. Page down for the answer. He had say, 3,5,J,K,9. Since 3,5 is a twin prime pair and J,K is a twin prime pair, he...
12686
cino hilliard
hillcino368
May 7, 2007 4:45 pm
... If x is the largest known prime, there is a finite number of primes < x. Now many of these are known and many are not. So the lowest unknown prime is out ...
12687
Peter Otzen
bogaduck
May 8, 2007 12:38 am
... I thought it was as simple as another person also having 2 pairs - the same two pairs - but they had a single Ace, while our man had a single King ??? Then...
12688
cino hilliard
hillcino368
May 8, 2007 1:12 pm
... Is Gambling legal throughout Australia or just in certain parts like Nevada and river boats etc in the USA?...
12689
Peter Otzen
bogaduck
May 9, 2007 6:14 am
... Nevada ... venue. I think every town of more than 3000 people has a Hotel with Poker Machines, though only the major capitals have Casinos. In fact i...
12690
Peter Otzen
bogaduck
May 9, 2007 6:21 am
... They would of course be the known knowns ... prime? This would of course be the smallest know unknown. But then to many people [Rumsfeld included] it is...
12691
cino hilliard
hillcino368
May 9, 2007 7:15 am
... Interesting. The Lottery is about the only legal game here in Chicago. Actually, the big lottery is not gambling since gambling is a game of chance and...
12692
cooperpuzzles
May 9, 2007 7:53 am
... the ... Tell me. I can keep a secret. John...
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cooperpuzzles
May 10, 2007 10:34 pm
There are ten coins with the numbers 1 through 10 labeled on one side and 0 on the other. They are all flipped randomly. What sum of all the numbers facing up...
12694
Peter Otzen
bogaduck
May 11, 2007 8:21 am
... My answer is 40, with a probability of 5/256. Of course I may be wrong!! Peter...
12695
cooperpuzzles
May 11, 2007 2:09 pm
... side ... its ... I agree with the probability for the sum of 40. There are other sums that are more probable. John...
12696
Nick_Hobson
May 12, 2007 12:09 am
... The most likely sums are 27 and 28, each with probability 5/128. Nick...
12697
cooperpuzzles
May 12, 2007 11:08 am
... side ... its ... That's what I got. It's not too difficult to deduce that 27 and 28 are the most likely. They are in the middle of the distibution. I don't...
12698
Peter Otzen
bogaduck
May 12, 2007 11:40 am
... <cooperpuzzles@...> wrote: Not sure what went wrong when I got 40!!!! - can certainly replicate the 27, 28 double using the same technique I used when...
12699
jwwarrenva
May 12, 2007 2:34 pm
... A generatingfunctionological approach is to let P_i = 1 + x^i for i = 1, 2, ..., 10 and then compute the product P_1 P_2 ... P_10. The coefficient of x^n...
12700
adh_math
May 12, 2007 2:38 pm
... Not a short cut, but it's possible to count by hand using polynomials. In the product (1+x)(1+x^2)...(1+x^10), the coefficient of x^k is the number of ways...
12701
Nick_Hobson
May 12, 2007 4:02 pm
... I used PARI/GP to multiply (1 + x)(1 + x^2)...(1 + x^10), as adh_math outlines. For larger numbers of coins see Sloane's A025591 ...
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Dahlia Lahla
astro_girl_690
May 13, 2007 9:42 pm
A while ago I was playing with converting musical tones to degress on a circle In the below, I constructed a spreadsheet with the simple formula; (Note, all Im...
12703
MorphemeAddict@...
lojbaner
May 13, 2007 11:05 pm
In a message dated 5/13/2007 4:42:35 PM Central Daylight Time, ... Is there any relation at all between a square and a circle? stevo </HTML> [Non-text...
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cooperpuzzles
May 14, 2007 5:21 pm
... <cooperpuzzles@> ... one ... is ... adh_math ... especially ... a ... I didn't find page 4. Maybe you could send me a direct link. I do have a recursive...
12705
Nick_Hobson
May 15, 2007 9:43 pm
The direct link is: http://www.cs.uwaterloo.ca/journals/JIS/VOL5/Tomescu/tomescu4.pdf The recurrence relation on page 4 that I mentioned is the same as the one...
12706
cooperpuzzles
May 17, 2007 4:09 pm
... the ... Thanks for this. I've tried a couple of times to read the paper. It will take a bit of study before I understand it all. I finally realized that...
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cooperpuzzles
May 22, 2007 10:48 am
Here's an easy one. There is a unique solution to this puzzle: "There are a prime number of ways that I can make change for n cents using coins of 1, 2, 5, 10 ...
12708
video_ranger
Jun 2, 2007 1:12 am
One way of counting the number of ways of making change is first to define: F(k) = floor(k/2)+1 which for k=0,1,2,3,..., is 1,1,2,2,3,3,4,4,... and which is...
12709
cooperpuzzles
Jun 5, 2007 9:34 am
... and ... of ... = ... I agree. I meant finding a solution is easy. I don't know why this is the only solution. Of course, this is Sloane sequence A000008. I...
12710
lbitran
Jun 12, 2007 3:06 pm
Gentlemen: I found this problem in a math site (Certamen el Numero de Oro 1998) and I have been unable to find its solution. Would some one of you, members of...
12711
slim_the_dude
Jun 13, 2007 1:23 am
... 1998) ... Counterexample: n = 1 Then N = 2 - 1 = 1 Oops. 1 is a perfect cube....
