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A030078 Cubes of primes. +0
46
8, 27, 125, 343, 1331, 2197, 4913, 6859, 12167, 24389, 29791, 50653, 68921, 79507, 103823, 148877, 205379, 226981, 300763, 357911, 389017, 493039, 571787, 704969, 912673, 1030301, 1092727, 1225043, 1295029, 1442897 (list; graph; listen)
OFFSET

1,1

COMMENT

Numbers with exactly three factorizations: A001055(a(n)) = 3 (e.g. a(4) = 1*343 = 7*49 = 7*7*7). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 29, 2001

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

n such that A062799(n)=3 - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 06 2002

a(n) = A000040(n)^3. [From Omar E. Pol (info(AT)polprimos.com), Jul 27 2009]

MATHEMATICA

Array[Prime[ # ]^3&, 5! ] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 01 2008]

PROGRAM

(SAGE) BB = primes_first_n(36) list = [] for i in range(36): list.append(BB[i]^3) list - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 15 2007

CROSSREFS

Cf. A001248, A060800, A131991.

Cf. A000040, A001248. [From Omar E. Pol (info(AT)polprimos.com), Jul 27 2009]

Sequence in context: A153147 A062838 A046452 this_sequence A051751 A133042 A056570

Adjacent sequences: A030075 A030076 A030077 this_sequence A030079 A030080 A030081

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com)

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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