311172329414761211

This number is a prime.

                                                         31117232 9414761211

+ 311172329414761211 is formed by concatenating 9 ordered prime numbers {3,11,17,23,29,41,47,61,211}. This also stands for every rotation of this list which produces only prime numbers. The 9 rotations are {3, 11, 17, 23, 29, 41,47, 61, 211} -> 311172329414761211 {11, 17, 23, 29, 41, 47, 61, 211, 3} -> 111723294147612113 {17, 23, 29, 41, 47, 61, 211, 3, 11} -> 172329414761211311 {23, 29, 41, 47, 61, 211, 3, 11, 17} -> 232941476121131117 {29, 41, 47, 61, 211, 3, 11, 17, 23} -> 294147612113111723 {41, 47, 61, 211, 3, 11, 17, 23, 29} -> 414761211311172329 {47, 61, 211, 3, 11, 17, 23, 29, 41} -> 476121131117232941 {61, 211, 3, 11, 17, 23, 29, 41, 47} -> 612113111723294147 {211, 3, 11, 17, 23, 29, 41, 47, 61} -> 211311172329414761. This is the only example of 9 ordered prime numbers with this property. [Kalogeropoulos]

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