Paul ErdÂ®s declared about this question that  mathematics may not be ready for such problems .
A complex continuous version of this question involves a fractal graph which encodes discrete information about this question's traditional statement. A 1981 paper by Lynn Garner showed that a negative answer to this question must involve thousands of terms. Paul ErdÂ®s declared about this question that  mathematics may not be ready for such problems . The generalized version of this conjecture includes negative numbers and involves four terminal   cycles rather than just one. This question asks whether the iterated Syracuse func- tion of every integer is equal to one for su ciently many iterations. For ten           points, identify this conjecture in number theory which asks whether iterating the operation of multiplying odd numbers by 3 and adding 1 and dividing even numbers by two will always lead to the cycle (1, 2, 4).
A complex continuous version of this question involves a fractal graph which encodes discrete information about this question's traditional statement.
Collatz conjecture [accept 3n+1 conjecture until  3  and prompt after, accept Ulam conjecture, Kakutani's problem, Thwaites conjecture, Hasse's algorithm, the hailstone problem; accept Syracuse problem before  Syracuse  is read and prompt after]