The 3x + 1 problem or Collatz conjecture is simple in its formulation but until now no proof is known that it is in fact true for any n. A conjecture is generally believed true but a formal proof is still to be found.

The conjecture says that if you repeatedly apply the following rule to a number the end result will always be one (1):

- if even then divide by 2;

- if odd then multiply by 3 and add 1.

Example:

9

28

14

7

22

11

34

17

52

26

13

40

20

10

5

16

8

4

2

1

Take any number and try it.

What about 27?

2-2018 Teaching by misleading

2 months ago

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