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A305993
Base-3 circular primes: Numbers k for which all cyclic shifts of their base-3 expansions give base-3 expansions of prime numbers.
1
2, 5, 7, 13, 1093, 797161
OFFSET
1,1
COMMENTS
Numbers k for which all cyclic shifts of their base-3 expansions give base-3 expansions of prime numbers.
Not known to be infinite.
No other terms <= 10^7.
No other terms <= 10^11. - Lucas A. Brown, Sep 20 2024
EXAMPLE
For example, 7 in base 3 is 21, and both 21 and 12 represent primes in base 3.
CROSSREFS
The base-10 analog of this sequence is A068652.
Cf. A272106.
Sequence in context: A265811 A265793 A126338 * A193718 A007438 A338205
KEYWORD
nonn,base,more,hard
AUTHOR
Jeffrey Shallit, Jun 16 2018
EXTENSIONS
New name from Lucas A. Brown, Sep 24 2024
STATUS
approved