# 229

This number is a prime.

The highest you can score in a standard game of bowling if your score in each of the ten frames is required to be a prime number. [Keith]

The sum of the first 229 primes divides the product of the first 229 primes.

The smallest prime that remains prime when added to its reversal. [Luhn]

Replacing each digit of prime 229 with its square, respectively its cube, results in two new primes (4481 and 88729) with a palindromic difference of 84248. Coincidentally, 229 + 4481 + 88729 is palindromic as well. [De Geest]

229 is the difference between 3^{3} and 4^{4}. [Raymond]

The names of the fifty U.S. states contain 229 letters that are always consonants in English (i.e., are not A, E, I, O, U, W, or Y). [Blanchette]

The concatenation of the two most distant prime dates for any given day of a month in a leap year. [Loungrides]

The smallest prime minimal sum solution to Honaker's triangle problem that has an odd prime index. Can you find the next?

There are exactly 229 six-digit Fibomorphic numbers. [Beedassy and Wasserman]

229 is the smallest number n such that 100! + n is prime. [Bajpai]

| π(x) - li(x) | ≤ 0.2795 x/(ln x)^3/4 exp (- sqrt((ln x)/6.455), for x ≥ 229. [Trudgian]

The smallest prime whose reversal is a Hoax number. [Loungrides]

Place the White chess pieces as follows: King on a2, Rook on c6, and Bishop on d5. Place the Black chess pieces as follows: King on a4, Knight on d3, and a pawn on e3. White to move, mate in 229. [Kadatch]

2^229 is a 69-digit number containing only one zero. Is this the largest power of two that has one or more unique digits? [Gaydos]

The smallest number n such that 100!+n is prime. Note that 229 is prime. [Loungrides]

The smallest prime that can be represented as the sum of
first *n* April Fool primes, (case *n*=7), i.e., 9 + 21 + 27 + 33 + 39 + 49 + 51 = 229. [Loungrides]

The quotient of the following long division puzzle:

_________ * * ) * * * * 8 6 _____ * * * 8 6 _____ * * * 3 8 7 _____ 0[Ray]

229 is the smaller of the first pair of cousin primes for which the three numbers between them all have the same number of divisors (8). [Gaydos]