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%I #3 Oct 19 2017 03:15:07
%S 144408645048225636603816,1725676121534561296189,
%T 188276429246387492222,19838179232721317143537,
%U 12764828245698443284086,176903816597810123057,18626438463030625206604,19352559475935751347112,16128296082816884008108
%N a(n) is the largest number beginning with 1 such that, for any m, the number formed from the first m digits of a(n) is congruent to n mod m.
%C Obviously, each such number has at least ten digits; thence one can extend with diminishing probability. But a(211131)=1715193991236363935195556991413939 has 34 digits!
%e a(3) = 19838179232721317143537 because 19 == 3 mod 2, 198 == 3 mod 3, 1983 == 3 mod 4,..., 19838179232721317143537 == 3 mod 23; but no additional digit makes a 3 mod 24 number.
%Y Cf. A051883, A109032, A113538, A132187, A134595.
%K nonn,base,easy
%O 0,1
%A Philippe LALLOUET (philip.lallouet(AT)orange.fr), Nov 04 2007
%E Edited by _Don Reble_, Nov 07 2007
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