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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 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 sixdigit Fibomorphic numbers. [Beedassy and Wasserman] 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 69digit number containing only one zero. Is this the largest power of two that has one or more unique digits? [Gaydos]
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]
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