A155547 - OEIS

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A155547

a(n) = prime(n) without prime digits in n.

2, 7, 13, 19, 23, 29, 31, 43, 53, 61, 67, 173, 179, 193, 199, 223, 227, 281, 283, 311, 317, 337, 347, 409, 419, 433, 443, 457, 461, 463, 467, 491, 503, 521, 523, 541, 547, 569, 577, 593, 599, 601, 607, 619, 641, 647, 653, 809, 811, 827, 839, 857, 859, 941, 947

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Prime digit = 2, 3, 5 or 7.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A000040(A084984(n)). - R. J. Mathar, Jan 25 2009

MAPLE

isA084984 := proc(n) local dgs ; dgs := convert(convert(n, base, 10), set) ; if dgs intersect {2, 3, 5, 7} <> {} then false; else true; fi; end: A084984 := proc(n) option remember ; local a ; if n = 1 then 1; else for a from procname(n-1)+1 do if isA084984(a) then RETURN(a) ; fi; od; fi; end: A155547 := proc(n) ithprime(A084984(n)) ; end: for n from 1 to 80 do printf("%d, ", A155547(n)) ; od: # R. J. Mathar, Jan 25 2009

MATHEMATICA

Prime[#]&/@Select[Range[200], NoneTrue[IntegerDigits[#], PrimeQ]&] (* Harvey P. Dale, Jan 28 2024 *)

CROSSREFS

Cf. A000027, A000040.

Sequence in context: A209886 A168465 A140562 * A007821 A156007 A067774

Adjacent sequences: A155544 A155545 A155546 * A155548 A155549 A155550

KEYWORD

nonn,base

AUTHOR

Juri-Stepan Gerasimov, Jan 24 2009

STATUS

approved