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-module(problem3).
-export([solve/0]).
solve() -> whittle(600851475143,[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97],1).
whittle(Num,List,Max) ->
Q = will_divide(Num, List),
if
Num =:= 1 ->
Max;
Q ->
H = which_divides(Num,List),
if
H > Max ->
whittle(Num div H, List, H);
true ->
whittle(Num div H, List, Max)
end;
true ->
whittle(Num, gen_next(List), Max)
end.
gen_next(List) ->
gen_next(List, lists:max(List) + 1).
gen_next(List, Next) ->
Q = will_divide(Next, List),
if
Q ->
gen_next(List, Next + 1);
true ->
List ++ [Next]
end.
will_divide(_, []) ->
false;
will_divide(Num, [H|T]) ->
if
Num rem H =:= 0 ->
true;
true ->
will_divide(Num, T)
end.
which_divides(Num, [H|T]) ->
if
Num rem H =:= 0 ->
H;
true ->
which_divides(Num, T)
end.
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