Cody

# Problem 44732. Highly divisible triangular number (inspired by Project Euler 12)

Solution 1944195

Submitted on 20 Sep 2019 by Augusto Mazzei
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Pass
assessFunctionAbsence({'regexp', 'regexpi', 'str2num'},'FileName','div_tri_n.m')

2   Pass
assert(isequal(div_tri_n(2),6))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3

3   Pass
assert(isequal(div_tri_n(4),28))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7

4   Pass
assert(isequal(div_tri_n(8),36))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3

5   Pass
assert(isequal(div_tri_n(10),120))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5

6   Pass
assert(isequal(div_tri_n(20),630))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

7   Pass
assert(isequal(div_tri_n(25),2016))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

8   Pass
assert(isequal(div_tri_n(39),3240))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

9   Pass
assert(isequal(div_tri_n(40),5460))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

10   Pass
assert(isequal(div_tri_n(50),25200))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

11   Pass
assert(isequal(div_tri_n(70),25200))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

12   Pass
assert(isequal(div_tri_n(80),25200))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

13   Pass
assert(isequal(div_tri_n(100),73920))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

14   Pass
assert(isequal(div_tri_n(115),157080))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

15   Pass
assert(isequal(div_tri_n(120),157080))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

16   Pass
assert(isequal(div_tri_n(130),437580))

f = 3 f = 3 3 f = 2 3 f = 2 3 2 3 2 3 2 3 f = 2 5 f = 2 5 2 5 2 5 2 5 f = 3 5 f = 3 5 3 5 3 5 3 5 f = 3 7 f = 3 7 3 7 3 7 3 7 f = 2 2 7 f = 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 f = 2 2 3 3 f = 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 f = 3 3 5 f = 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 5 f = 5 11 f = 5 11 5 11 5 11 5 11 f = 2 3 11 f = 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 2 3 11 f = 2 3 13 f = 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 2 3 13 f = 7 13 f = 7 13 7 13 7 13 7 13 f = 3 5 7 f = 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 3 5 7 f = 2 2 2 3 5 f = 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 2 2 2 3 5 f = 2 2 2 17 f = 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 2 2 2 17 f = 3 3 17 f = 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 3 3 17 f = 3 3 19 f = 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 3 3 19 f = 2 5 19 f = 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 2 5 19 f = 2 3 5 7 f = 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 2 3 5 7 f = 3 7 11 f = 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 3 7 11 f = 11 23 f = 11 23 11 23 11 23 11 23 f = 2 2 3 23 f = 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 2 2 3 23 f = 2 2 3 5 5 f = 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 2 2 3 5 5 f = 5 5 13 f = 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 5 5 13 f = 3 3 3 13 f = 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 3 3 3 13 f = 2 3 3 3 7 f = 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 2 3 3 3 7 f = 2 7 29 f = 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 2 7 29 f = 3 5 29 f = 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 3 5 29 f = 3 5 31 f = 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 3 5 31 f = 2 2 2 2 31 f = 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 2 2 2 2 31 f = 2 2 2 2 3 11 f = 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 2 3 11 2 2 2 ...

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