A356256 The lesser of the 2^n-th twin prime pair (A001359).

3, 5, 17, 71, 227, 821, 2087, 5021, 13757, 33149, 81197, 186647, 435401, 1002719, 2241779, 5060171, 11296421, 25121207, 55559507, 121831601, 266187827, 578653919, 1253242691, 2705496551, 5820833729, 12491149637, 26733605159, 57077657321, 121575837179, 258438193379

Offset

0,1

Links

Table of n, a(n) for n=0..29.

Formula

a(n) = A001359(2^n).

Example

a(0) = 3 since 3 is the lesser of the first (2^0) twin prime pair;
a(1) = 5 since 5 is the lesser of the second (2^1) twin prime pair;
a(2) = 17 since 17 is the lesser of the fourth (2^2) twin prime pair;
a(3) = 71 since 71 is the lesser of the eighth (2^3) twin prime pair; etc.

Mathematica

c = 0; p = 2; q = 3; lst = {}; Do[ While[c < 2^n, If[q == p + 2 , c++]; p = q; q = NextPrime@ q]; Print[{n, p - 2}]; AppendTo[lst, p - 2], {n, 0, 29}]

Crossrefs

Cf. A001359.

Sequence in context: A259908 A137460 A319908 * A232238 A102295 A365518

Adjacent sequences: A356253 A356254 A356255 * A356257 A356258 A356259

Keyword

nonn

Author

Robert G. Wilson v, Oct 03 2022

Status

approved