login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A154498
Sum of any 3 consecutive numbers is prime, a(1)=41,a(2)=43.
3
41, 43, 47, 59, 61, 71, 79, 83, 89, 97, 107, 109, 131, 139, 149, 151, 157, 179, 211, 223, 227, 233, 241, 269, 277, 281, 349, 353, 359, 379, 433, 467, 499, 521, 523, 557, 577, 587, 613, 631, 743, 757, 769, 821, 827, 829, 883, 947, 967, 983, 1013, 1087, 1091
OFFSET
1,1
COMMENTS
41+43+47=171,...
MATHEMATICA
a=41; b=43; lst={a, b}; Do[c=Prime[n]; p=a+b+c; If[PrimeQ[p], AppendTo[lst, c]; a=b; b=c], {n, 15, 5!}]; lst
KEYWORD
nonn
AUTHOR
EXTENSIONS
NAME adapted to offset. - R. J. Mathar, Jun 19 2021
STATUS
approved