|
| |
|
|
A030078
|
|
Cubes of primes.
|
|
56
| |
|
|
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, 2048383, 2248091, 2571353, 2685619
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Numbers with exactly three factorizations: A001055(a(n)) = 3 (e.g. a(4) = 1*343 = 7*49 = 7*7*7). - Reinhard Zumkeller, Dec 29, 2001
|
|
|
LINKS
| T. D. Noe, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, MathWorld: Prime Power
|
|
|
FORMULA
| n such that A062799(n)=3 - Benoit Cloitre, Apr 06 2002
a(n) = A000040(n)^3. [From Omar E. Pol, Jul 27 2009]
A064380(a(n))=A000010(a(n)) [From Vladimir Shevelev, Apr 19 2010]
A003415(a(n)) = A079705(n). [Reinhard Zumkeller, Jun 26 2011]
A056595(a(n)) = 2. [Reinhard Zumkeller, Aug 15 2011]
|
|
|
MATHEMATICA
| Array[Prime[ # ]^3&, 5! ] [From Vladimir Orlovsky, Sep 01 2008]
|
|
|
PROG
| (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, Jul 27 2009]
Sequence in context: A153147 A062838 A046452 * A051751 A133042 A181361
Adjacent sequences: A030075 A030076 A030077 * A030079 A030080 A030081
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
|
| |
|
|
