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A085987 Product of exactly four primes, three of which are distinct. 30
60, 84, 90, 126, 132, 140, 150, 156, 198, 204, 220, 228, 234, 260, 276, 294, 306, 308, 315, 340, 342, 348, 350, 364, 372, 380, 414, 444, 460, 476, 490, 492, 495, 516, 522, 525, 532, 550, 558, 564, 572, 580, 585, 620, 636, 644, 650, 666, 693, 708, 726 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

A014613 is completely determined by A030514, A065036, A085986, A085987 and A046386 since p(4) = 5. (cf. A000041). More generally, the first term of sequences which completely determine the k-almost primes can be found in A036035 (a resorted version of A025487).

Subsequence of A178212. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 24 2010]

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

EXAMPLE

a(1) = 60 since 60 = 2*2*3*5 and has three distinct prime factors.

MATHEMATICA

f[n_]:=Sort[Last/@FactorInteger[n]]=={1, 1, 2}; Select[Range[2000], f] (* From Vladimir Joseph Stephan Orlovsky, May 03 2011 *)

PROG

(PARI) list(lim)=my(v=List(), t, x, y, z); forprime(p=2, lim^(1/4), t=lim\p^2; forprime(q=p+1, sqrtint(t), forprime(r=q+1, t\q, x=p^2*q*r; y=p*q^2*r; listput(v, x); if(y<=lim, listput(v, y); z=p*q*r^2; if(z<=lim, listput(v, z)))))); vecsort(Vec(v)) \\ Charles R Greathouse IV, Jul 15 2011

CROSSREFS

Cf. A000007, A000040, A001248, A006881, A030078, A054753, A007304, A050997, A046387, A036035, A086974.

Sequence in context: A182855 A009129 A174292 * A086974 A099831 A138604

Adjacent sequences:  A085984 A085985 A085986 * A085988 A085989 A085990

KEYWORD

nonn

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), Jul 08 2003

EXTENSIONS

More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 25 2003

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Last modified February 14 09:18 EST 2012. Contains 205614 sequences.