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

Author

Randy L. Ekl, Nov 26 2016

Keywords

• nonn
• base

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

Examples

			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.