Friday 8 January 2016

Circular prime

Circular prime
A circular prime is a prime number with the property that the number generated at each intermediate step when cyclically permuting its (base 10) digits will be prime.

For example, 1193 is a circular prime, since 1931, 9311 and 3119 all are also prime.

Note:
A circular prime with at least two digits can only consist of combinations of the digits 1, 3, 7 or 9, because having 0, 2, 4, 6 or 8 as the last digit makes the number divisible by 2, and having 0 or 5 as the last digit makes it divisible by 5.

Reference:


2 comments:

  1. Can you ellaborate it.. please!!!!!

    ReplyDelete
    Replies
    1. 1193 --1st Rotation--> 1931: A prime number

      1931 --2nd Rotation--> 9311: A prime number

      9311 --3rd Rotation--> 3119: A prime number

      3119 --3rd Rotation--> 1193: Again a prime number

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