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Primes p such that p + 70000000 is also prime.
2

%I #12 Nov 21 2013 16:26:19

%S 37,43,103,157,181,283,331,379,409,433,613,631,643,691,739,811,823,

%T 829,991,1021,1093,1171,1201,1237,1249,1279,1297,1381,1483,1741,1759,

%U 1777,1873,1879,2011,2017,2131,2221,2239,2269,2341,2377,2467,2473,2551,2659,2791

%N Primes p such that p + 70000000 is also prime.

%C Yitang (Tom) Zhang announced yesterday that he could prove that there are an infinite number of k-twin primes p, p+k, for some k < 70000000. Here 70000000 is only an upper bound. See the Comments in A028334. - corrected by _Jonathan Sondow_, May 17 2013

%H T. D. Noe, <a href="/A225423/b225423.txt">Table of n, a(n) for n = 1..1000</a>

%H Christian Perfect and Peter Rowlett, <a href="http://aperiodical.com/2013/05/primes-gotta-stick-together/#more-9239">Primes gotta stick together</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Yitang_Zhang">Yitang Zhang</a>

%t Select[Prime[Range[600]], PrimeQ[70000000 + #] &]

%Y Cf. A001359 (first member of a twin prime pair), A028334.

%K nonn

%O 1,1

%A _T. D. Noe_, May 15 2013