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Topic: prime pairs (Read 5920 times) |
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kiki lee
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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.'
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BNC
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Re: prime pairs
« Reply #1 on: Jun 30th, 2003, 11:36pm » |
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It's on the easy section (check main site).
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How about supercalifragilisticexpialidociouspuzzler [Towr, 2007]
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randome
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Re: prime pairs
« Reply #2 on: Jul 14th, 2007, 9:59am » |
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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
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| « Last Edit: Jul 14th, 2007, 10:01am by randome » |
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thunder
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Re: prime pairs
« Reply #3 on: Oct 27th, 2007, 6:58am » |
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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...
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Trebla
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Re: prime pairs
« Reply #4 on: Nov 8th, 2007, 11:15am » |
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Isn't 3-5-7 a prime triple?
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towr
wu::riddles Moderator
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Some people are average, some are just mean.
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Re: prime pairs
« Reply #5 on: Nov 8th, 2007, 1:43pm » |
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on Nov 8th, 2007, 11:15am, Trebla wrote:| Isn't 3-5-7 a prime triple? |
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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.
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| « Last Edit: Nov 8th, 2007, 1:45pm by towr » |
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Wikipedia, Google, Mathworld, Integer sequence DB
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Random Lack of Squiggily Lines
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Everything before 7/1/2008 is now irrelevant.
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Re: prime pairs
« Reply #6 on: Dec 13th, 2007, 4:17am » |
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i got an idea, but words cant explain it.
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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?
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