Author |
Topic: prime pairs (Read 5901 times) |
|
kiki lee
Guest
|
Pairs of primes separated by a single number are called prime pairs. Examples are 17 and 19. Prove that the number between a prime pair is always divisible by 6 (assuming both numbers in the pair are greater than 6). Now prove that there are no 'prime triples.'
|
|
 IP Logged |
|
|
|
BNC
Uberpuzzler
Gender: 
Posts: 1732
|
 |
Re: prime pairs
« Reply #1 on: Jun 30th, 2003, 11:36pm » |
 Quote  Modify
|
It's on the easy section (check main site).
|
|
IP Logged |
How about supercalifragilisticexpialidociouspuzzler [Towr, 2007]
|
|
|
randome
Newbie
Posts: 6
|
|
Re: prime pairs
« Reply #2 on: Jul 14th, 2007, 9:59am » |
Quote Modify
|
I don't get it .... 3 and 5 are a prime pair, no one can argue that 4 is divisible by 6
oh whoops ... assuming they are greater than 6 ..hahah my bad
|
| « Last Edit: Jul 14th, 2007, 10:01am by randome » |
IP Logged |
|
|
|
thunder
Newbie
Posts: 5
|
|
Re: prime pairs
« Reply #3 on: Oct 27th, 2007, 6:58am » |
Quote Modify
|
since the pair of prime no. is saparated by a single number,th8 no wud definitely be divisble by 2 as both the prime no. wud be odd n so the number b/w them wud be even n hence divisible by 2..now as we r considering 3 consecutive numbers,one of them wud be definitely divisible by 3...as this number can't be any of the prime ones obviously..hence its the number b/w them...thus the number b/w prime pair is divisible by both 2 and 3..so if both the prime numbers are greater then 6 it wud be divisible by 6 also...
|
|
IP Logged |
|
|
|
Trebla
Newbie
Gender:
Posts: 16
|
|
Re: prime pairs
« Reply #4 on: Nov 8th, 2007, 11:15am » |
Quote Modify
|
Isn't 3-5-7 a prime triple?
|
|
IP Logged |
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: prime pairs
« Reply #5 on: Nov 8th, 2007, 1:43pm » |
Quote Modify
|
on Nov 8th, 2007, 11:15am, Trebla wrote:| Isn't 3-5-7 a prime triple? |
|
I think the condition "assuming the numbers are over 6" still applies to the problem. So the only prime triple, 3-5-7, is barred from consideration.
|
| « Last Edit: Nov 8th, 2007, 1:45pm by towr » |
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
Random Lack of Squiggily Lines
Senior Riddler
Everything before 7/1/2008 is now irrelevant.
Gender:
Posts: 460
|
|
Re: prime pairs
« Reply #6 on: Dec 13th, 2007, 4:17am » |
Quote Modify
|
i got an idea, but words cant explain it.
|
|
IP Logged |
You can only believe i what you can prove, and since you have nothing proven to cmpare to, you can believe in nothing.
I have ~50 posts to hack a "R" into a "D". Which one?
|
|
|
|
RIDDLES SITE
WRITE MATH!
Home 
Help 
Search 
Members 
Login 
Register
Reply
Notify of replies
Send Topic
Print
Remove