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A199977 Primes whose multiplicative digital root is 0. 2

%I #13 Mar 01 2021 02:01:13

%S 59,101,103,107,109,239,251,257,269,293,307,349,353,401,409,439,457,

%T 479,503,509,521,523,541,547,563,569,577,587,599,601,607,619,653,659,

%U 691,701,709,757,787,809,853,857,859,877,907,947,997,1009,1013,1019,1021

%N Primes whose multiplicative digital root is 0.

%C Complement of A199978 with respect to A034048.

%H Robert Israel, <a href="/A199977/b199977.txt">Table of n, a(n) for n = 1..10000</a>

%e Prime 239 is in sequence because 2*3*9 = 45, 4*5 = 20, 2*0 = 0.

%p mdr:= proc(n) local L,r;

%p r:= n;

%p while r >= 10 do

%p r:= convert(convert(r,base,10),`*`)

%p od;

%p r

%p end proc:

%p select(mdr=0, [seq(ithprime(i),i=1..1000)]); # _Robert Israel_, Feb 28 2021

%t digRoot[n_] := Module[{k = n}, While[k > 9, k = Times @@ IntegerDigits[k]]; k]; Select[Range[1200], PrimeQ[#] && digRoot[#] == 0 &] (* _T. D. Noe_, Nov 23 2011 *)

%Y Cf. A199978 (nonprime numbers whose multiplicative digital root is 0).

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Nov 13 2011

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Last modified August 13 06:03 EDT 2024. Contains 375113 sequences. (Running on oeis4.)