A154498 - OEIS

A154498

Sum of any 3 consecutive numbers is prime, a(1)=41,a(2)=43.

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

41+43+47=171,...

LINKS

Table of n, a(n) for n=1..53.

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

CROSSREFS