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- August 6th 2010, 01:19 PM #1

- August 6th 2010, 01:56 PM #2

- August 6th 2010, 03:04 PM #3

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Hello, Also sprach Zarathustra!

are primes.

And: .

Are there any other triples of primes that differ by 2?

Since is the only even prime,

. . any such triple of primes must be consecutivenumbers.*odd*

It can be shown that, in a set of three consecutive odd numbers,

. . one of them will be divisible by 3.

Crank out a list of three consecutive odd numbers:

. .

And we see that is thesuch triple of primes.*only*

- August 6th 2010, 03:05 PM #4

- August 6th 2010, 03:17 PM #5

- August 7th 2010, 06:30 AM #6

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- August 7th 2010, 09:17 AM #7

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- August 7th 2010, 10:55 AM #8
Along those lines,

Green-Tao Theorem

- August 7th 2010, 12:36 PM #9

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- August 7th 2010, 07:14 PM #10
More nutjob info here

Primes in arithmetic progression - Wikipedia, the free encyclopedia