

A036954


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


1



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
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OFFSET

1,1


COMMENTS

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


LINKS

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


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


CROSSREFS

Cf. A036952A036964.
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



