

A158844


Concatenated triangular numbers T (n), T(n + 1) and T(n + 2) are prime.


3



20, 31, 35, 39, 44, 99, 135, 139, 155, 164, 200, 211, 271, 275, 284, 340, 359, 360, 404, 416, 424, 444, 484, 496, 511, 564, 596, 611, 640, 676, 724, 800, 836, 859, 860, 871, 876, 884, 919, 940, 944, 951, 971, 976, 995, 1000, 1004, 1064, 1116, 1131, 1144, 1159
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..52.


EXAMPLE

n = 20 : T (20) = 210, T (21) = 231, T (22) = 253, 210231253 is prime;
n = 31 : T (31) = 496, T (32) = 528, T (33) = 561, 496528561 is prime.


MATHEMATICA

p3cQ[n_]:=Module[{c1=(n(n+1))/2, c2=((n+1)(n+2))/2, c3=((n+2)(n+3))/2}, PrimeQ[FromDigits[Flatten[IntegerDigits/@{c1, c2, c3}]]]]; Select[Range[ 1250], p3cQ] (* Harvey P. Dale, Sep 13 2011 *)


CROSSREFS

A158750 Concatenated triangular numbers that are prime. A000217 Triangular numbers,
Sequence in context: A167360 A113760 A053679 * A077340 A077343 A218793
Adjacent sequences: A158841 A158842 A158843 * A158845 A158846 A158847


KEYWORD

nonn,base


AUTHOR

Zak Seidov, Mar 28 2009


STATUS

approved



