Is there any work done on prime numbers which are equidistant means like (11,17,23,29)..?what is the maximum length of such group means the group of primes which are equidistant...like the group I have mentioned is of length 4.
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Please not not repeat old questions! And yes, google for Terry Tao's Theorem. – Dietrich Burde May 05 '17 at 19:13
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Also, see the Wikipedia article about primes in arithmetic progression. – bzc May 05 '17 at 19:20
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Dietrich means the Green-Tao theorem. The theorem states that there are arbitrarily long arithmetic progressions consisting of prime numbers. – Alex May 05 '17 at 19:21
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By the Green-Tao theorem, there are arbitrarily long arithmetic progressions consisting of prime numbers.
The first known case of 26 primes in an arithmetic progression (found in 2010) is
$$ 43\,142\,746\,595\,714\,191 + 5\,283\,234\,035\,979\,900 \cdot n, \quad\mbox{ for } n = 0 \ldots25. $$
Alex
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Ohh..chain of 26 primes..I was working on primes and I found chain of 7 primes nd I was happy thinking I had discovered something.. bt this shows me I was too wrong..uff..bt thanks for your help. – ogirkar May 05 '17 at 20:20
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@omkarGirkar You are welcome! So can you accept this answer? You might earn a "Scholar" badge by accepting. :) – Alex May 05 '17 at 20:54
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