Tom, Dick and Harry each chose a different 5-digit
triangular number 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?
Dick's triangular number is 27966.
Tom and Harry's triangular numbers are 15400 and 58311.