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Revision History for A007304

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Showing entries 1-10 | older changes
A007304 Sphenic numbers: products of 3 distinct primes.
(history; published version)
#98 by N. J. A. Sloane at Wed Jul 17 18:58:11 EDT 2024
STATUS

editing

#97 by N. J. A. Sloane at Wed Jul 17 18:58:08 EDT 2024
CROSSREFS

Cf. A006881, A046386, A046387, A067885 (product of 2, 4, 5 and 6 distinct primes, resp.)

STATUS

approved

#96 by Peter Luschny at Tue Dec 13 12:57:52 EST 2022
STATUS

proposed

#95 by Michel Marcus at Tue Dec 13 10:36:01 EST 2022
STATUS

editing

Discussion
Tue Dec 13 11:08
Michel Marcus: or should correct comment ?
12:57
Peter Luschny: That's OK.
#94 by Michel Marcus at Tue Dec 13 10:35:35 EST 2022
COMMENTS

Or the numbers n such that 13 = number of perfect partitions of n. - Juri-Stepan Gerasimov, Oct 07 2009

Discussion
Tue Dec 13 10:36
Michel Marcus: wrong comment removed; see the 3rd formula for the real thing
#93 by Michel Marcus at Tue Dec 13 10:33:52 EST 2022
EXTENSIONS

Formula index corrected - R. J. Mathar, Oct 14 2009

Discussion
Tue Dec 13 10:34
Michel Marcus: extension already noted with 3rd formula
#92 by Michel Marcus at Tue Dec 13 10:32:14 EST 2022
FORMULA

A050326(a(n)) = 5, subsequence of A225228; A162143(n) = a(n)^2. - Reinhard Zumkeller, May 03 2013

CROSSREFS

Discussion
Tue Dec 13 10:33
Michel Marcus: moved A162143 to crossrefs
#91 by Michel Marcus at Tue Dec 13 10:26:38 EST 2022
COMMENTS

A178254(a(n)) = 36. - Reinhard Zumkeller, May 24 2010

A050326(a(n)) = 5, subsequence of A225228; A162143(n) = a(n)^2. - Reinhard Zumkeller, May 03 2013

FORMULA

#90 by Michel Marcus at Tue Dec 13 10:19:23 EST 2022
COMMENTS

Also the volume of a sphenic brick. A sphenic brick is a rectangular parallelopiped whose sides are components of a sphenic number, namely whose sides are three distinct primes. Example: The distinct prime triple (3,5,7) produces a 3x5x7 unit brick which has volume 105 cubic units. 3-D analog of 2-D A037074 Product of twin primes, per Cino Hilliard's comment. Compare with 3-D A107768 Golden 3-almost primes = Volumes of bricks (rectangular parallelopipeds) each of whose faces has golden semiprime area. - Jonathan Vos Post, Jan 08 2007

STATUS

approved

#89 by N. J. A. Sloane at Fri Nov 20 17:13:40 EST 2020
STATUS

proposed

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Last modified August 25 10:00 EDT 2024. Contains 375437 sequences. (Running on oeis4.)