Tom, Dick and Harry each chose a different 5-digit
whose digits fell into the pattern THREE, where each different letter represents a different base-10 digit.
Dick's triangular number had no digit in common with either Tom's or Harry's.
What was Dick's number? What two triangular numbers did the other two choose?
The other two: 15400 and 58311
( 236th, 175th and 341st triangular numbers, counting number 1 as first)