

A158864


Prepending 6 to nth triangular number produces a prime.


1



13, 37, 73, 118, 166, 217, 313, 433, 457, 493, 538, 541, 553, 601, 613, 637, 706, 826, 853, 898, 958, 1042, 1057, 1138, 1222, 1357, 1441, 1513, 1666, 1681, 1777, 1858, 1966, 1993, 2173, 2281, 2341, 2422, 2446, 2518, 2626, 2638, 2653, 2686, 2701, 2737
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OFFSET

1,1


COMMENTS

Or, concatenated T(3) and T(n) are prime. Or, concatenated A000217(3) and A000217(n) are prime.


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000


EXAMPLE

n=13: T(13)=91, 691 is prime,
n=37: T(37)=703, 6703 is prime,
n=73: T(73)=2701, 62701 is prime.


MATHEMATICA

Rest[Flatten[Position[Accumulate[Range[3000]], _?(PrimeQ[ 6*10^IntegerLength[ #]+#]&)]]] (* Harvey P. Dale, Jul 27 2015 *)


CROSSREFS

A158844 Concatenated triangular numbers T(n), T(n + 1) and T(n + 2) are prime. A158862 Prepending 3 to nth triangular number produces a prime. A158845 Prepending 1 to nth triangular number produces a prime. A158750 Concatenated triangular numbers that are prime. A000217 Triangular numbers.
Sequence in context: A049742 A247867 A113601 * A003154 A083577 A155285
Adjacent sequences: A158861 A158862 A158863 * A158865 A158866 A158867


KEYWORD

base,nonn


AUTHOR

Zak Seidov, Mar 28 2009


STATUS

approved



