A278694 Primes p such that every suffix of the ternary (base-3) representation of p is either a prime or 1.

2, 3, 5, 7, 11, 19, 23, 29, 59, 61, 73, 83, 163, 167, 173, 181, 191, 223, 487, 491, 509, 547, 569, 653, 659, 677, 709, 1459, 1481, 1487, 1531, 1621, 1949, 2027, 2111, 4397, 4447, 4457, 4547, 4597, 4861, 4943, 5051, 5861, 6323, 6563

Offset

1,1

Comments

All numbers are of one of the following forms base 3:

a. 10...02, where there are 0 or more 0's

b. 20...0x, where x is a, b, or 1, and there are 0 or more 0's

c. 10

d. 2

Links

Table of n, a(n) for n=1..46.

Example

11 is in the sequence, since 11=102_3 and the base-3 suffix 2_3 is 2, which is prime.
659 is in the sequence, since 659=220102_3, and the base-3 suffixes are 20102_3=173, 102_3=11, and 2_3=2, all of which are prime.

Crossrefs

Sequence in context: A143260 A246044 A039986 * A214837 A079346 A228062

Adjacent sequences: A278691 A278692 A278693 * A278695 A278696 A278697

Keyword

nonn,base

Author

Randy L. Ekl, Nov 26 2016

Status

approved