A225423 Primes p such that p + 70000000 is also prime.

37, 43, 103, 157, 181, 283, 331, 379, 409, 433, 613, 631, 643, 691, 739, 811, 823, 829, 991, 1021, 1093, 1171, 1201, 1237, 1249, 1279, 1297, 1381, 1483, 1741, 1759, 1777, 1873, 1879, 2011, 2017, 2131, 2221, 2239, 2269, 2341, 2377, 2467, 2473, 2551, 2659, 2791

Offset: 1

Author

T. D. Noe, May 15 2013

Keywords

• nonn

Comments

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

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• Christian Perfect and Peter Rowlett, Primes gotta stick together
• Wikipedia, Yitang Zhang

Crossrefs

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

Programs

Mathematica

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