are primes.

And:

Question:

Are there any triples of primes so the difference between any two of sequential number equals 2? (Except the above...)

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- August 6th 2010, 01:19 PMAlso sprach Zarathustra7-5=2=5-3
are primes.

And:

Question:

Are there any triples of primes so the difference between any two of sequential number equals 2? (Except the above...) - August 6th 2010, 01:56 PMyeKciM
- August 6th 2010, 03:04 PMSoroban
Hello, Also sprach Zarathustra!

Quote:

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 PMundefined
- August 6th 2010, 03:17 PMAlso sprach Zarathustra
1 point to Soroban and 1 point to undefined.

- August 7th 2010, 06:30 AMwonderboy1953Twin primes
Just to add my two cents worth in, there may be an infinity of twin primes however (Calvin Clawson's [I]Math Mysteries[I] is worthwhile reading).

- August 7th 2010, 09:17 AMWilmer
251-257-263-269

4 consecutive primes, any 2 consecutive have same difference (6). - August 7th 2010, 10:55 AMundefined
Along those lines,

Green-Tao Theorem - August 7th 2010, 12:36 PMWilmer
- August 7th 2010, 07:14 PMundefined
:D More nutjob info here

Primes in arithmetic progression - Wikipedia, the free encyclopedia