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Smallest prime dividing the composite number consisting of n 1's followed by a terminal 3, where n=A105432.
1

%I #10 Jan 17 2019 13:44:08

%S 3,23,3,13,3,461,3,13,1163,3,19,1077697,3,13,29,3,31,3,13,1297561,3,

%T 81703,53,3,13,1867,3,19,6053,3,13,163,3,1733,1954503644062423429,3,

%U 13,33142829,3,79,24733371888243845161,3,13,193367,3,19,501654709,3,13

%N Smallest prime dividing the composite number consisting of n 1's followed by a terminal 3, where n=A105432.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/1/11113.htm">Factorizations of 11...113</a>.

%t FactorInteger[#][[1,1]]&/@Select[Table[FromDigits[PadLeft[{3},n,1]],{n,60}],!PrimeQ[#]&] (* _Harvey P. Dale_, Jun 04 2012 *)

%K nonn

%O 1,1

%A _Lekraj Beedassy_, Apr 08 2005