The Wall of Wary Plaques

A gallery wall displays 100100 numbered plaques. Plaque nn reads: "At most n−1n - 1 of the 100100 plaques on this wall are truthful." Assume each plaque is either truthful or not, consistently with what all the plaques say. Exactly how many plaques are truthful, and which ones are they?

Answer

Free accounts unlock one worked solution a day. Pro includes every answer.