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A115688 Semiprimes (A001358) whose digit reversal is a powerful(1) number (A001694). 2

%I #5 Dec 03 2019 21:13:16

%S 4,9,10,46,94,121,169,215,526,869,961,982,1042,1273,1405,1843,2918,

%T 3194,4069,4633,5213,5221,5758,6313,6511,6937,8045,8402,8651,8882,

%U 9235,9481,9586,9886,10201,10609,12538,12769,14023,16171,16327,16582

%N Semiprimes (A001358) whose digit reversal is a powerful(1) number (A001694).

%H Robert Israel, <a href="/A115688/b115688.txt">Table of n, a(n) for n = 1..908</a>

%e 869=11*79 is semiprime and 968=2^3*11^2 is powerful.

%p N:= 99999:

%p S:= {1}:

%p p:= 1:

%p do

%p p:= nextprime(p);

%p if p^2 > N then break fi;

%p S:= S union map(t -> seq(t*p^j,j=2..floor(log[p](N/t))), S);

%p od:

%p digrev:= proc(x) local L;

%p L:= convert(x,base,10);

%p add(L[-i]*10^(i-1),i=1..nops(L))

%p end proc:

%p sort(convert({10} union select(t -> numtheory:-bigomega(t)=2, map(digrev, select(t -> t mod 10 <> 0, S))),list)); # _Robert Israel_, Dec 03 2019

%Y Cf. A001358, A001694, A115687.

%K nonn,base

%O 1,1

%A _Giovanni Resta_, Jan 31 2006

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Last modified April 24 05:49 EDT 2024. Contains 371918 sequences. (Running on oeis4.)