11

This number is a prime.

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Sir Frederick Pollock conjectured that every natural number is the sum of at most 11 centered nonagonal numbers. This is almost certainly true, but has not yet been proven. [Homewood]

There are 11 prime quintuplets of the form {p, p + 4, p + 6, p + 10, p + 12} less than 10^5. [Homewood]

The New England Patriots have made 11 appearances in the Superbowl. [Homewood]

On a 12-hour clock the hour hand and minute hand overlap at 11 different times during the day. [Homewood]

The sum of any ten consecutive Fibonacci numbers is divisible by 11. [Homewood]

'NINE PLUS TWO = FIVE PLUS SIX' has 11 letters on each side of the equals sign. [Homewood]

11 divides the sum of any 11-1 consecutive Lucas numbers. [Homewood]