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A046394 Palindromes with exactly 4 distinct prime factors. 3

%I #16 Apr 07 2022 16:30:07

%S 858,2002,2442,3003,4774,5005,5115,6666,10101,15351,17871,22422,22722,

%T 24242,26562,26962,28482,35853,36363,41314,43734,43834,45654,47874,

%U 49494,49794,49894,51015,51315,51415,53535,53835,53935,56865,58485

%N Palindromes with exactly 4 distinct prime factors.

%H Robert Israel, <a href="/A046394/b046394.txt">Table of n, a(n) for n = 1..10000</a>

%p filter:= proc(n) local F;

%p F:= ifactors(n)[2];

%p nops(F)=4 and max(map(t->t[2],F))=1

%p end proc:

%p makepali:= proc(n,d) local L;

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

%p if d::even then 10^(d/2)*n + add(L[i]*10^(d/2-i),i=1..d/2)

%p else 10^((d-1)/2)*n + add(L[i]*10^((d+1)/2-i),i=2..(d+1)/2)

%p fi

%p end proc:

%p select(filter, [seq(seq(makepali(x,d),

%p x=10^ceil(d/2-1)..10^ceil(d/2)-1),d=1..6)]); # _Robert Israel_, Jun 05 2018

%t Select[Range[60000],PalindromeQ[#]&&PrimeNu[#]==Total[FactorInteger[#][[All,2]]] == 4&] (* _Harvey P. Dale_, Apr 07 2022 *)

%Y Cf. A046330, A046410.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Jun 15 1998

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Last modified May 12 20:41 EDT 2024. Contains 372494 sequences. (Running on oeis4.)