A154484 a(n+1)-+a(n) = prime, a(1)=0, a(2)=2.

0, 2, 5, 8, 11, 18, 23, 30, 37, 42, 47, 50, 53, 56, 75, 82, 85, 88, 91, 102, 109, 114, 119, 122, 129, 134, 137, 140, 143, 150, 157, 160, 171, 176, 183, 190, 193, 196, 201, 208, 211, 222, 227, 230, 233, 246, 253, 256, 267, 274, 297, 302, 305, 308, 311, 330, 343

Offset

1,2

Comments

Sum and difference of any of two consecutive numbers are prime numbers: 5-2=3; 5+2=7, 230-227=3; 230+227=457, 233-230=3; 233+230=463,...

I assume that here and in most of the similar sequences from the same author there is an implicit assumption that we want the "Lexicographically earliest infinite sequence of distinct positive numbers" that satisfies the stated condition. - N. J. A. Sloane, Apr 20 2022

Links

Table of n, a(n) for n=1..57.

Mathematica

a=0; b=2; lst={a, b}; Do[If[PrimeQ[n-b]&&PrimeQ[n+b], AppendTo[lst, n]; a=b; b=n], {n, 3, 7!}]; lst

Crossrefs

Sequence in context: A344719 A192147 A226817 * A129300 A347839 A107679

Adjacent sequences: A154481 A154482 A154483 * A154485 A154486 A154487

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 10 2009

Extensions

NAME adapted to offset. - R. J. Mathar, Jun 19 2021

Status

approved