A154502 Sum of any 3 consecutive numbers is prime and a(n+2)-(a(n+1)+a(n)) is prime, a(1)=3,a(2)=31.

3, 31, 37, 71, 89, 157, 163

Offset

1,1

Comments

3+31+37=71;37-(3+31)=3,...

Links

Table of n, a(n) for n=1..7.

Mathematica

a=3; b=31; lst={a, b}; Do[c=Prime[n]; p1=c+a+b; p2=c-(a+b); If[PrimeQ[p1]&&PrimeQ[p2], AppendTo[lst, c]; a=b; b=c], {n, 9, 9!}]; lst

Crossrefs

Cf. A154484, A154485, A154486, A154487, A154488, A154493, A154494, A154495, A154496, A062391, A154497, A154498, A154500, A154501

Sequence in context: A077546 A168274 A141177 * A046282 A045709 A090151

Adjacent sequences: A154499 A154500 A154501 * A154503 A154504 A154505

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 10 2009

Extensions

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

Status

approved