A305993 Numbers n for which all cyclic shifts of their base-3 expansions give base-3 expansions of prime numbers.

2, 5, 7, 13, 1093, 797161

Offset

1,1

Comments

Not known to be infinite.

No other terms <= 10^7.

Links

Table of n, a(n) for n=1..6.

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

Adjacent sequences: A305990 A305991 A305992 * A305994 A305995 A305996

Keyword

nonn,base,more

Author

Jeffrey Shallit, Jun 16 2018

Status

approved