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Positive squares not ending in 00 that remain squares when prefixed with 100.
5

%I #13 Sep 14 2014 00:21:24

%S 126609965386962890625,2251582387232059478759765625,

%T 35195816356873080847263336181640625,

%U 507081064881263080149056017398834228515625,6906141992927910623080625169910490512847900390625,90266080419142123943961730174907133914530277252197265625

%N Positive squares not ending in 00 that remain squares when prefixed with 100.

%C Squares of A247312.

%H Chai Wah Wu, <a href="/A247262/b247262.txt">Table of n, a(n) for n = 1..85</a>

%e 126609965386962890625 and 100126609965386962890625 are both squares.

%o (PARI)

%o for(n=1,10^30,if(n^2%100&&issquare(10^(#Str(n^2)+2)+n^2),print1(n^2,", "))) \\ _Derek Orr_, Sep 13 2014

%Y Cf. A247261, A247263, A247264, A247312.

%K nonn,base

%O 1,1

%A _Chai Wah Wu_, Sep 10 2014