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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The only prime with period length 9. Note that it is the largest prime factor of the palindrome 12345678987654321. When any threedigit number is multiplied by 333667 and the number three, the result will always be the same three digits repeated three times. E.g., 123 x 333667 x 3 = 123123123. Any ninedigit number that repeats three digits three times will always have 333667 as a highest prime factor. [Schuler] The greatest prime factor of any 9digit repdigit is 333667. [La Haye] The 333rd hexagon number. This means 333667 coins could form a hexagon shape with one coin in the middle and 333 + 1 coins on each side. [Schuler] 333667 is the smallest emirp formed from the concatenation in order of two 3digit composite numbers summed to a thousand (333, 667). [Loungrides]
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