A036954 Primes with digits in {0,1,2} taken as base 3 and converted to base 10.

2, 4, 10, 22, 34, 46, 58, 67, 79, 94, 103, 139, 145, 157, 166, 169, 172, 181, 190, 193, 199, 205, 211, 214, 229, 277, 283, 295, 298, 307, 313, 349, 367, 373, 391, 394, 409, 421, 433, 439, 463, 466, 478, 505, 517, 523, 529, 535, 541, 547, 556, 559, 571, 577

Offset

1,1

Comments

Equivalently: terms of A036953 read in base 3 (and written in base 10). - M. F. Hasler, Jul 25 2015

Equivalently, k such that A007089(k), read literally as a decimal number, is a prime. - N. J. A. Sloane, Feb 17 2023

Links

Iain Fox, Table of n, a(n) for n = 1..10000

Index entries for sequences related to Most Wanted Primes video

Formula

a(n) == 1 (mod 3) for all n > 1. - M. F. Hasler, Jul 25 2015

Example

a(n) = 313 is 102121{3}, and 102121{10} is prime.

Mathematica

FromDigits[#, 3]&/@Select[Tuples[{0, 1, 2}, 6], PrimeQ[FromDigits[#]]&] (* Harvey P. Dale, Mar 27 2021 *)

Prog

(PARI) is(n)=(n%3==1||n==2)&&isprime((n=digits(n, 3))*vectorv(#n, i, 10^(#n-i))) \\ M. F. Hasler, Jul 25 2015

Crossrefs

Cf. A036952-A036964.

Indices of primes in A007089.

Sequence in context: A130666 A179116 A358357 * A109679 A023036 A263661

Adjacent sequences: A036951 A036952 A036953 * A036955 A036956 A036957

Keyword

nonn,base

Author

Patrick De Geest, Jan 04 1999

Extensions

Offset corrected to 1 and minor edits by M. F. Hasler, Jul 25 2015

Status

approved