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A067885 Product of 6 distinct primes. 29

%I #49 Jul 18 2023 23:25:52

%S 30030,39270,43890,46410,51870,53130,62790,66990,67830,71610,72930,

%T 79170,81510,82110,84630,85470,91770,94710,98670,99330,101010,102102,

%U 103530,106590,108570,110670,111930,114114,115710,117390,122430,123690,124410,125970,128310

%N Product of 6 distinct primes.

%H T. D. Noe, <a href="/A067885/b067885.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Pri#prime_signature">Index to sequences related to prime signature</a>

%F {k: A001221(k) = A001222(k) = 6}. - _R. J. Mathar_, Jul 18 2023

%t Select[Range[125000],PrimeNu[#]==PrimeOmega[#]==6&] (* _Harvey P. Dale_, May 14 2014 *)

%o (PARI) is(n)=factor(n)[,2]==[1,1,1,1,1,1]~ \\ _Charles R Greathouse IV_, Sep 14 2015

%o (PARI) is(n)=omega(n)==6 && bigomega(n)==6 \\ _Hugo Pfoertner_, Dec 18 2018

%o (PARI) list(lim)=lim\=1; my(v=List(), L1,L2,L3,L4,P4,P5); forprime(p=13,lim\2310, L1=lim\p; forprime(q=11,min(L1\210,p-2), L2=L1\q; forprime(r=7, min(L2\30,q-2), L3=L2\r; forprime(s=5,min(L3\6,r-2), L4=L3\s; P4=p*q*r*s; forprime(t=3, min(L4\2,s-2), P5=P4*t; forprime(u=2, min(L4\t,t-1), listput(v,P5*u))))))); Set(v) \\ _Charles R Greathouse IV_, Aug 27 2021

%Y Subsequence of A074969. - _R. J. Mathar_, Nov 24 2009

%Y Cf. A006881, A007304, A046386, A046387, A067885, A123321, A123322, A115343 (product of 2, 3, 4, ... distinct primes, respectively).

%K nonn

%O 1,1

%A _Benoit Cloitre_, Mar 02 2002

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)