A154488 a(n+1)-+a(n)=prime, a(1)=1,a(2)=12.

1, 12, 17, 20, 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, 348

Offset

1,2

Comments

Sum and difference of any of two consecutive numbers in current sequence are prime numbers : 230-227=3;230+227=457, 233-230=3;233+230=463,...

Links

Table of n, a(n) for n=1..56.

Mathematica

a=1; b=12; lst={a, b}; Do[If[PrimeQ[n-b]&&PrimeQ[n+b], AppendTo[lst, n]; a=b; b=n], {n, b+1, 7!}]; lst

Crossrefs

Cf. A154484, A154485, A154486, A154487

Sequence in context: A064825 A162918 A105018 * A336890 A302359 A214514

Adjacent sequences: A154485 A154486 A154487 * A154489 A154490 A154491

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 10 2009

Extensions

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

Status

approved