# README
Triangular, pentagonal, and hexagonal
Triangle, pentagonal, and hexagonal numbers are generated by the following formulae:
Triangle T_n=n(n+1)/2 1, 3, 6, 10, 15, ...
Pentagonal P_n=n(3n−1)/2 1, 5, 12, 22, 35, ...
Hexagonal H_n=n(2n−1) 1, 6, 15, 28, 45, ...
It can be verified that $T_{285}$ = $P_{165}$ = $H_{143}$ = 40755.
Find the next triangle number that is also pentagonal and hexagonal.