 333667 (another Prime Pages' Curiosity) Curios: Curios Search:   Participate:  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.) Prime Curios! © 2000-2019 (all rights reserved)  privacy statement   (This page was generated in 0.0381 seconds.)