A001363 Primes in ternary.

2, 10, 12, 21, 102, 111, 122, 201, 212, 1002, 1011, 1101, 1112, 1121, 1202, 1222, 2012, 2021, 2111, 2122, 2201, 2221, 10002, 10022, 10121, 10202, 10211, 10222, 11001, 11012, 11201, 11212, 12002, 12011, 12112, 12121, 12211, 20001, 20012, 20102, 20122, 20201

Offset: 1

Author

N. J. A. Sloane

Keywords

• base
• nonn
• easy

Comments

Primes written in base 3.

References

• Archimedeans Problems Drive, Eureka, 23 (1960), 23.
• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• T. D. Noe, Table of n, a(n) for n = 1..847

Crossrefs

Analogs in other bases: A004676 (base 2), A001363 (base 3), A004678 (base 4), A004679 (base 5), A004680 (base 6), A004681 (base 7), A004682 (base 8), A004683 (base 9), A000040 (base 10), A004684 (base 11).

Cf. A007089, A072805 (primes of form 4k+3 written in base 3).

Programs

Mathematica

Table[FromDigits[IntegerDigits[Prime[n], 3]], {n, 50}] (* T. D. Noe, Jun 28 2012 *)

PARI

a(n)=subst(Pol(digits(prime(n),3)),'x,10) \\ Charles R Greathouse IV, Nov 06 2013

Formula

a(n) = A007089(A000040(n)). - Jonathan Vos Post, Sep 09 2006

Extensions

More terms from James Sellers, May 01 2000