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A173580 Primes where each digit is represented by 0,1,2,4,or 8 0
2, 11, 41, 101, 181, 211, 241, 281, 401, 421, 811, 821, 881, 1021, 1181, 1201, 1481, 1801, 1811, 2011, 2081, 2111, 2141, 2221, 2281, 2411, 2441, 2801, 4001, 4021, 4111, 4201, 4211, 4241, 4421, 4441, 4481, 4801, 8011, 8081, 8101, 8111, 8221, 8821, 10111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

It's possible to use the present sequence for messages coding by the choice of words code such as the Hamming distance (dH) is maximum, for example, with the code (12841,20101,41221,84011), dH = 8, but after error, the decoding with the maximum likelihood is alone insufficient. Then, we use the property of "prime number word-code" for improve the decoding.

LINKS

Table of n, a(n) for n=1..45.

MAPLE

with(numtheory): for n from 2 to 10000 do: l:=evalf(floor(ilog10(n))+1): n0:=n:indic:=0:for m from 1 to l do:q:=n0:u:=irem(q, 10):v:=iquo(q, 10): n0:=v : if u=3 or u= 5 or u= 6 or u=7 or u=9 then indic :=1 :else fi :od :if indic = 0 and type(n, prime) = true then print(n):else fi:od:

CROSSREFS

See A066593 Cf. A066591, A066592.

Sequence in context: A175447 A078746 A066593 * A062256 A024522 A144841

Adjacent sequences:  A173577 A173578 A173579 * A173581 A173582 A173583

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Feb 22 2010

STATUS

approved

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Last modified January 20 14:02 EST 2020. Contains 331094 sequences. (Running on oeis4.)