Definition:Permutable Prime/Sequence
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Definition
The sequence of permutable primes begins:
- $2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199, 311, 337, 373, 733, 919, 991, R_{19}, R_{23}, R_{317}, R_{1091}, \ldots$
where $R_n$ denotes the repunit of $n$ digits.
This sequence is A003459 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
The smallest
elements of the permutation sets of these are:
- $2, 3, 5, 7, 11, 13, 17, 37, 79, 113, 199, 337, R_{19}, R_{23}, R_{317}, R_{1091}, \ldots$
This sequence is A258706 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
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Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $113$