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

1,1

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

Mathematica

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

Crossrefs

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

Sequence in context: A176927 A039950 A186281 * A367478 A322098 A039351

Adjacent sequences: A225420 A225421 A225422 * A225424 A225425 A225426

Keyword

nonn

Author

T. D. Noe, May 15 2013

Status

approved