A305993 Base-3 circular primes: Numbers k for which all cyclic shifts of their base-3 expansions give base-3 expansions of prime numbers.

2, 5, 7, 13, 1093, 797161

Offset: 1

Author

Jeffrey Shallit, Jun 16 2018

Keywords

• nonn
• base
• more
• hard

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

Examples

			For example, 7 in base 3 is 21, and both 21 and 12 represent primes in base 3.
		

Links

• Lucas A. Brown, Python program.

Crossrefs

The base-10 analog of this sequence is A068652.

Cf. A272106.

Extensions

New name from Lucas A. Brown, Sep 24 2024