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A168352 Products of 6 distinct odd primes. 3

%I #20 Mar 03 2023 07:51:59

%S 255255,285285,345345,373065,435435,440895,451605,465465,504735,

%T 533715,555555,569415,596505,608685,615615,636405,645645,672945,

%U 680295,692835,705705,719355,726495,752115,770385,780045,795795,803985,805035,811965,823515,838695,844305,858585

%N Products of 6 distinct odd primes.

%H David A. Corneth, <a href="/A168352/b168352.txt">Table of n, a(n) for n = 1..10000</a>

%F A067885 INTERSECT A005408. [_R. J. Mathar_, Nov 24 2009]

%e 255255 = 3*5*7*11*13*17

%e 285285 = 3*5*7*11*13*19

%e 345345 = 3*5*7*11*13*23

%e 435435 = 3*5*7*11*13*29

%t f[n_]:=Last/@FactorInteger[n]=={1,1,1,1,1,1}&&FactorInteger[n][[1,1]]>2; lst={};Do[If[f[n],AppendTo[lst,n]],{n,6*9!}];lst

%o (PARI) is(n) = {n%2 == 1 && factor(n)[,2]~ == [1,1,1,1,1,1]} \\ _David A. Corneth_, Aug 26 2020

%o (Python)

%o from sympy import primefactors, factorint

%o print([n for n in range(1, 1000000, 2) if len(primefactors(n)) == 6 and max(list(factorint(n).values())) == 1]) # _Karl-Heinz Hofmann_, Mar 01 2023

%Y Cf. A005408, A067885.

%Y Cf. A046391 (5 distinct odd primes).

%K nonn,easy

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Nov 23 2009

%E Definition corrected by _R. J. Mathar_, Nov 24 2009

%E More terms from _David A. Corneth_, Aug 26 2020

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Last modified August 19 09:19 EDT 2024. Contains 375284 sequences. (Running on oeis4.)