login
A154501
Sum of any 3 consecutive numbers is prime and a(n+2)-(a(n+1)+a(n)) is prime, a(1)=3,a(2)=11.
1
3, 11, 17, 31, 41, 59, 97, 113, 127, 139
OFFSET
1,1
COMMENTS
3+11+17=31;17-(3+11)=3,...
MATHEMATICA
a=3; b=11; 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, 5, 9!}]; lst
KEYWORD
nonn
AUTHOR
EXTENSIONS
NAME adapted to offset. - R. J. Mathar, Jun 19 2021
STATUS
approved