A270711 Half of increasing gaps between primes.

1, 2, 3, 4, 7, 9, 10, 11, 17, 18, 22, 26, 36, 43, 48, 56, 57, 59, 66, 74, 77, 90, 105, 110, 111, 117, 124, 125, 141, 144, 146, 160, 168, 177, 191, 192, 197, 228, 232, 234, 237, 243, 245, 250, 257, 258, 266, 267, 270, 291, 294, 301, 326, 337, 358, 383, 389, 402, 403, 453, 458, 462, 566, 592, 599, 610, 612, 624, 636, 664, 678, 685, 721, 738, 744, 755, 763, 765, 775

Offset

2,2

Comments

The primes in this sequence are 2, 3, 7, 11, 17, 43, 59, 191, 197, 257, ...

The squares are 1, 4, 9, 36, 144,...

Links

Table of n, a(n) for n=2..80.

Formula

a(n) = A005250(n)/2 for n>1.

Mathematica

max = 10^7; Module[{d = Differences[Prime[Range[max]]], ls = {2}}, Table[If[d[[n]] > Last[ls], AppendTo[ls, d[[n]]]], {n, max - 1}]; ls/2]

Crossrefs

Cf. A005250.

Sequence in context: A060253 A066276 A047340 * A096118 A050029 A364868

Adjacent sequences: A270708 A270709 A270710 * A270712 A270713 A270714

Keyword

nonn

Author

Michel Lagneau, Mar 22 2016

Extensions

a(55)-a(80) using b-file of A005250 by Hugo Pfoertner, Oct 30 2021

Status

approved