Tritri

The tritri is equal to \( \lbrace 3,3,3 \rbrace = 3 \lbrace3\rbrace 3 \) (3 pentated to 3) \( = 3 \lbrace 2 \rbrace 7625597484987 \) in BEAF. It is the third Ackermann Number. It is equal to power tower with 7625597484987 3's high. In contrast, a power tower of only four threes is between googol and googolplex.

Jonathan Bowers, who coined the name, has created many other googologisms based on the number 3 (such as ultatri and triakulus). This is because 3 is the smallest positive integer that does not create degenerate arrays like 1 and 2 (since \( \lbrace 2, 2, n \rbrace= 4\) for all \(n \(>\) 0) \).