4

Part of 2017 AIME Problems

Problems(2)

Wot n' Tetration

Source: 2017 AIME I #4

A pyramid has a triangular base with side lengths

20

20

24

. The three edges of the pyramid from the three corners of the base to the fourth vertex of the pyramid all have length

25

. The volume of the pyramid is

m\sqrt{n}

m

n

are positive integers, and

n

is not divisible by the square of any prime. Find

m+n

The Scarlet Letternary representation contains no 0's

Source: 2017 AIME II #4

Find the number of positive integers less than or equal to

2017

whose base-three representation contains no digit equal to

0