The book is now available! 333667
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (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 three-digit 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 nine-digit number that repeats three digits three times will always have 333667 as a highest prime factor. [Schuler]

+ The greatest prime factor of any 9-digit 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 3-digit composite numbers summed to a thousand (333, 667). [Loungrides]

(There is one curio for this number that has not yet been approved by an editor.)

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