The On-Line Encyclopedia of Integer Sequences (OEIS)

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A154498

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

#4 by R. J. Mathar at Sat Jun 19 12:51:18 EDT 2021

STATUS

editing

approved

#3 by R. J. Mathar at Sat Jun 19 12:51:15 EDT 2021

NAME

Sum of any 3 consecutive numbers is prime, a(01)=41,a(12)=43.

EXTENSIONS

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

STATUS

approved

editing

#2 by Russ Cox at Sat Mar 31 12:38:19 EDT 2012

AUTHOR

_Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), _, Jan 10 2009

Discussion

Sat Mar 31

12:38

OEIS Server: https://oeis.org/edit/global/876

#1 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

NAME

Sum of any 3 consecutive numbers is prime, a(0)=41,a(1)=43.

DATA

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

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 10 2009

STATUS

approved