The worlds first riddle!

Good morning! Oh, how I love Mondays; let me count the ways…while waiting:

I dream of a better tomorrow... where chickens can cross roads and not have their motives questioned.



Yesterday it was asked of any castle dwellers:

Can the mean of any two consecutive prime numbers ever be prime?

Mark:

PRIME MEANS
The mean of two numbers lies between the two numbers. If the two primes are consecutive, there are no primes between them (by definition).

Sweet words indeed.

There also can't be any apples in between two consecutive apples. :wink:


+IOS = Hasta mañana.

Don't go getting cute on me; you are one of the few I can understand.



Epenthesis asks:
"what does the bottom line of this chart say?

Well, I have listened very carefully and it said; [size=7][size=7]



TTH:
Adios

Goodbye to you too. Take it easy TTH we are all sending good karma.



For all those who have been asking after Etc, let me say straight off the bat; I don't know. I would guess she is back in the slammer, but she could just as well be in the Presidential election race riding the God ticket, especially now my good friend Karl Rove is unemployed.

Go PJ 2008




GLOOOKD


ACRINL


POTOOOOOOOO

I am not going anywhere. You can't get rid out me that easy
look in god
pot holes

lookin' good


potatoes (pot 8 o's)

Thoh:

GLOOOOKD = lookin' good
(With a little help from TTH)

POTOOOOOOOO = potatoes (pot 8 o's)




Why is that if p is a prime number bigger than 3, then p^2-1 is always divisible by 24 with no remainder







NASA received three messages in a strange language from a distant planet. The scientists studied the messages and found that "Necor Buldon Slock" means "Danger Rocket Explosion" and "Edwan Mynor Necor" means "Danger Spaceship Fire" and "Buldon Gimilzor Gondor" means "Bad Gas Explosion".

What does "Slock" mean






ACHANCEN



MEQUIT

PRIME RIBS

[size=7]Primes p > 3 = 5+2k
(p^2)-1 = [(5+2k)^2] - 1
= 25 +20k +4k^2 -1
= 24 + 20k + 4k^2
= 4*(6 + 5k + k^2)
= 4*(k + 2)*(k + 3)
so 4*3*2 is a factor of p[/size]

Primacy
[size=7]All primes are of form 6k+/-1 where k is an integer
p^2-1=(6k+/-1)^2-1
=36k^2+/-12k+1-1=12k(3k+/-1)
if k=1 then 12(4 or 2)|24
if k even then 12k|24
if k odd the (3k+/-1)|2 & 12k|12 so 12k(3k+/-1)|24[/size]

NSS Enterprise is a big pile of slock

Rap

PRIMES
[size=7]All primes greater than 3 are of the form p = 4n +/- 1 (they're odd).
(4n +/- 1)^2 - 1 = 16n^2 +/- 8n = 8m for some m.
Therefore, p^2 - 1 is a multiple of 8.

All primes greater than 3 are of the form p = 3n +/- 1 (they're not multiples of 3).
(3n +/- 1)^2 - 1 = 9n^2 +/- 6n = 3m for some m.
Therefore, p^2 - 1 is a multiple of 3.

Therefore, p^2 - 1 is a multiple of 24 (3*8).[/size]

epenthesis:
4*(k+2)*(k+3) contains 3 as a factor only if k != 2 mod 3.
Of course, 5+2k is not prime when k = 2 mod 3 (because it's divisible by 3), but that needs to be pointed out for the conclusion to hold up.

SLOCK
[size=7]rocket[/size]

Here's one I made up. You may not get it if you're too young.

I read someplace that today is Help a down and out day. So, in an effort to prove my cup of compassion is flowing over don't forget; if you give a man a match, he'll be warm for a minute, but set him on fire, and he'll be warm for the rest of his life.



Who would have thought such a simple little question would bring forth such diverse answers.





Epenthesis saw it this way:

Primes p > 3 = 5+2k
(p^2)-1 = [(5+2k)^2] - 1
= 25 +20k +4k^2 -1
= 24 + 20k + 4k^2
= 4*(6 + 5k + k^2)
= 4*(k + 2)*(k + 3)
so 4*3*2 is a factor of p




Rap on the other hand:

Primacy
All primes are of form 6k+/-1 where k is an integer
p^2-1=(6k+/-1)^2-1
=36k^2+/-12k+1-1=12k(3k+/-1)
if k=1 then 12(4 or 2)|24
if k even then 12k|24
if k odd the (3k+/-1)|2 & 12k|12 so 12k(3k+/-1)|24



NSS Enterprise is a big pile of slock



Mark pointed out:

PRIMES
All primes greater than 3 are of the form p = 4n +/- 1 (they're odd).
(4n +/- 1)^2 - 1 = 16n^2 +/- 8n = 8m for some m.
Therefore, p^2 - 1 is a multiple of 8.

All primes greater than 3 are of the form p = 3n +/- 1 (they're not multiples of 3).
(3n +/- 1)^2 - 1 = 9n^2 +/- 6n = 3m for some m.
Therefore, p^2 - 1 is a multiple of 3.

Therefore, p^2 - 1 is a multiple of 24 (3*8).



For good measure he adds:

SLOCK = rocket




For what it's worth, I have :


This solution relies on showing that p^2 - 1 is a multiple of 2x2x2x3
First expand p^2 - 1 to give:
P^2 - 1 = (p - 1) x (p + 1)

Then consider the terms on the right hand side, firstly since we know that p must be odd p -1 and p + 1 must be even. So we have two of the factors we require.

Additionally since p - 1 and p + 1 effectively form 2 consecutive even numbers one of them must be a multiple of 4 thus we have another of our factors of 2. So far we have 2x2x2, now to get the factor of 3
p - 1, p & p + 1 form three consecutive numbers; in any three consecutive numbers one will be a multiple of 3, we know it is not p which is a multiple of 3, as this is prime, hence either p - 1 or p + 1 is a multiple. Therefore p^2 - 1 has the factors 2, 2, 2 & 3 hence:
p^2 - 1 = 24n



NFL riddle.

TPERR = Tab Perry
Wide Receiver - Cincinnati Bengals

GO Gals!






These were sent to me….. and I have no idea!




MORCAROTOBELINANING





because
Because
……be
because




tpmerhao

MORCAROTOBELINANING= To be in Carolina in the morning.

Stormy:

MORCAROTOBELINANING= To be in Carolina in the morning.


How clever is that!





If some Wicks are Slicks, and some Slicks are Snicks, then some Wicks are definitely Snicks.

The statement is: TRUE/FALSE



If all Zips are Zoodles, and all Zoodles are Zonkers, then all Zips are definitely Zonkers.

The statement is: TRUE/FALSE




Zac is both the 50th best and the 50th worst student in his year. How many students in his year




What number is one half of one quarter of one tenth of 800

[size=7]Slicks/Wicks/Snicks-False
Zips/Zoodles/Zonkers--True
99 in class
10[/size]
Rap

FIN FIN = paraffin

tpmerhao= mixed metaphor

ACHANCEN= an outside chance

QUESTION:

In a paranormally unfortunate TV shooting accident 4 imaginary Elvises are converted into the boxes at which they were shooting and a number from one to six blasted onto each side. How many different combinations are possible when the 4 imaginary Elvis cubes are rolled onto a large peanut butter and jelly sandwich?

Question:

In a game where 52 standard cards are shared equally between 4 players what is the probability that a hand will contain at least one suit with 4 or more cards?

SNAP TO IT:

In a game of snap with 52 standard cards how many cards would you expect to be turned over until the first SNAP?

TV SHOOTING ACCIDENT
[size=7]4 different dice C(6,4) = 15 ways
2 same dice, 2 different dice 6 * C(5,2) = 60 ways
2 same dice, 2 same (but different from first 2) dice C(6,2) = 15 ways
3 same dice, 1 different die P(6,2) = 30 ways
4 same dice C(6,1) = 6 ways
Total = 126 combinations[/size]

4+ CARDS
[size=7]The Pigeonhole Principle tells us that you can't place 13 pigeons in 4 holes without at least one hole containing at least 4 pigeons.[/size]

SNAP
I need to find the rules to this game, but it's too late tonight.

Depends on the number of players - or do you want the answer expressed as a function of the number of players?