I'm not a mathematician, but aren't there 46 SuperBowls missing?
Super Bowls only originated 54 years ago, although the league is now 100 years old this year.
Prior to Super Bowls, there was an Championship game and that was the end of it.
To keep this short, back in the 1960's several teams wanted to join the NFL but the NFL did not want them (some were smaller-market teams). So they created their own league, called the American Football League. After a couple of years, the NFL got pissed because the AFL began drafting some of the college players that the NFL wanted and paying them big bucks.
So they agreed on a joint venture and draft players together and play a Championship type of game, later known as the Super Bowl, between the two leagues. The first was in 1967, although they both operated as separate leagues.
After the AFC Kansas City Chiefs and New York Jets won two Super Bowls (3 and 4), it was agreed that the leagues should merge in 1980.
So the beginning of the Super Bowl era can still be remembered by some people here. But the NFL as a league began 100 years ago.
[As an additional note: This is similar in some ways to what happened to the National Basketball Association (NBA) around that same time. There was an upstart league call the American Basketball Association (ABA). They too began offering big bucks to players coming out of college. One very notable one was Julius Erving, known as Dr. J. The leagues eventually merged and the NBA retained 4 of the stronger teams from the ABA].
Rub a Dub