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Editorial Team
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Editorial Team
Asked: May 23, 20262026-05-23T12:07:35+00:00 2026-05-23T12:07:35+00:00

I am trying to generate circular prime numbers in Mathematica 8. A circular prime

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I am trying to generate circular prime numbers in Mathematica 8.
A circular prime number is a number such that all rotations of its digits are prime

Eg. 197 is circular because 971, and 719, are primal too.

Now, in order to test if a prime number is circular, I generate all rotations. I do this as follows:

p = IntegerDigits[197];
Table[RotateLeft[p, n], {n, Length[p]}]

Which consequently returns

{{9, 7, 1}, {7, 1, 9}, {1, 9, 7}}

However this is where I get stuck. What I would like to do now is to grab the elements of each inner list and concatenate them together in a sequential order so that the output becomes this

{971, 719, 197}

So that I can test if all rotations satisfy PrimeQ[].

While I on the one hand could have this done by looping through the list, it seems to me as if there is a better way that I am just not realizing.

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  1. Editorial Team
    Editorial Team
    2026-05-23T12:07:36+00:00Added an answer on May 23, 2026 at 12:07 pm

    FromDigits is what you’re looking for.

    FromDigits /@ {{9, 7, 1}, {7, 1, 9}, {1, 9, 7}}
    {971, 719, 197}
    
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