+
+=
++=
+=
++++=
+===+=
++++++=
+=
++=
+=+===+=+=
++++++++++=
+===+=
Explain the pattern and find the next five rows.
Hint: the symbols I chose have nothing to do with the pattern.
Here is how to get the nth row:
For the numbers 1 to n, put a + for a number that is relatively prime to n and a = for a number that has a common factor with n. The nth row is the pattern of symbols that repeats.
1. +
2. +=
3. ++=
4. +=
5. ++++=
6. +===+=
7. ++++++=
8. +=
9. ++=
10. +=+===+=+=
11. ++++++++++=
12. +===+=
Next 5 rows:
13. ++++++++++++=
14. +=+=+===+=+=+=
15. ++=+==++==+=++=
16. +=
17. ++++++++++++++++=
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Posted by Math Man
on 2011-01-19 18:13:36 |