A001363 Primes in ternary. (Formerly M1961 N0776)

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

1,1

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

Formula

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

Mathematica

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

Prog

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

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).

Sequence in context: A061818 A166938 A093325 * A022367 A004686 A080139

Adjacent sequences: A001360 A001361 A001362 * A001364 A001365 A001366

Keyword

base,nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from James A. Sellers, May 01 2000

Status

approved