A153139 - OEIS

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A153139

Numbers n with property that n^2 is a concatenation of three 3-digit primes.

10171, 10371, 10447, 10449, 10451, 11303, 11801, 11827, 12319, 12553, 13387, 13829, 13847, 13903, 13913, 14141, 14549, 15087, 15097, 15153, 15847, 16431, 16841, 16847, 17549, 18363, 18379, 18637, 18697, 18701, 19319, 19337, 19579

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OFFSET

1,1

COMMENTS

There are exactly 60 such numbers.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..60

EXAMPLE

a(1)= 10171, 10171^2=103_449_241

a(2)= 10371, 10371^2=107_557_641

a(60)=31591, 31591^2=997_991_281

MATHEMATICA

ttdpQ[n_]:=Module[{c=FromDigits/@Partition[IntegerDigits[n^2], 3]}, Min[ IntegerLength[ c]] ==3&&AllTrue[c, PrimeQ]]; Select[Range[ 10000, 31622], ttdpQ] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 26 2016 *)

CROSSREFS

Cf. A153048, A153050

Sequence in context: A172810 A231030 A323486 * A243974 A251274 A184205

Adjacent sequences: A153136 A153137 A153138 * A153140 A153141 A153142

KEYWORD

base,fini,nonn

AUTHOR

Zak Seidov, Dec 19 2008

STATUS

approved