Arton and Billy are each given a positive integer, and they are told that the two positive integers are consecutive. The following conversation ensues:

Arton: "I don't know your number."

Billy: "I don't know your number either."

Arton: "Now I know your number!"

What is the largest possible value for Billy's number?

This is one part of 1+1 is not = to 3.

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