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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And:
Question:
Are there any triples of primes so the difference between any two of sequential number equals 2? (Except the above...)
21-19=2=19-17Quote:
Originally Posted by Also sprach Zarathustra
And:
Question:
Are there any triples of primes so the difference between any two of sequential number equals 2? (Except the above...)
Edit : wrong , but i can't delete this (there need's to stay dumb things i'm writing so everyone can laugh) :D but now i'm thinking there is non another sequence like that ...
Hello, Also sprach Zarathustra!
Quote:
And: .
Are there any other triples of primes that differ by 2?
Sinceis the only even prime,
. . any such triple of primes must be consecutive odd numbers.
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 thatis the only such triple of primes.
No because for {p, p+2, p+4}, one of them must be divisible by 3, obviously p=2 does not work, and for p>3 divisibility by 3 will mean composite.Quote:
Originally Posted by Also sprach Zarathustra
And:
Question:
Are there any triples of primes so the difference between any two of sequential number equals 2? (Except the above...)
Edit: Soroban beat me to it!
1 point to Soroban and 1 point to undefined.
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).
251-257-263-269
4 consecutive primes, any 2 consecutive have same difference (6).
Along those lines,Quote:
Originally Posted by Wilmer
Green-Tao Theorem
YIKES!! They're up to 26 consecutives; bunch of nuts !!Quote:
Originally Posted by undefined
:D More nutjob info hereQuote:
Originally Posted by Wilmer
Primes in arithmetic progression - Wikipedia, the free encyclopedia