[go: up one dir, main page]

login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
Revision History for A048597 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A048597 Very round numbers: reduced residue system consists of only primes and 1.
(history; published version)
#59 by Sean A. Irvine at Sat Jul 03 18:49:28 EDT 2021
STATUS

proposed

approved

#58 by FUNG Cheok Yin at Sat Jun 19 04:01:00 EDT 2021
STATUS

editing

proposed

#57 by FUNG Cheok Yin at Sat Jun 19 03:59:22 EDT 2021
COMMENTS

Golden's guess is true. See a proof in the links section. - FUNG Cheok Yin, Jun 19 2021

LINKS

Fung Cheok Yin, <a href="http://oeis.org/wiki/User:FUNG_Cheok_Yin/proof(i)_A048597">A property of the set "2, 4, 6, 10, 12"</a>, Dec 24 2020.

STATUS

approved

editing

#56 by Michel Marcus at Sat Feb 22 18:24:15 EST 2020
STATUS

editing

approved

#55 by Michel Marcus at Sat Feb 22 18:24:09 EST 2020
REFERENCES

J. E. Roberts, Lure of Integers, pp. 179-180 MAA 1992.

STATUS

approved

editing

#54 by Susanna Cuyler at Sat Feb 22 18:03:47 EST 2020
STATUS

proposed

approved

#53 by Michel Marcus at Sat Feb 22 13:15:02 EST 2020
STATUS

editing

proposed

#52 by Michel Marcus at Sat Feb 22 13:14:57 EST 2020
LINKS

Bill Taylor, <a href="http://mathforum.org/epigone/sci.math/chaxclixsnerm">Posting to sci.math, Sep 13 1999</a>> [Broken link]

#51 by Michel Marcus at Sat Feb 22 13:12:08 EST 2020
REFERENCES

R. Honsberger, Mathematical Diamonds, MAA, 2003, see p. 79. [Added by N. J. A. Sloane, Jul 05 2009]

LINKS

Ross Honsberger, <a href="https://www.jstor.org/stable/3026742">Mathematical Gems</a>, The Two-Year College Mathematics Journal, Vol. 10, No. 3 (Jun., 1979), pp. 195-197 (3 pages).

Ross Honsberger, <a href="https://archive.org/details/MathematicalDiamonds/page/n87/mode/2up">Two distinguished integers</a>, in Mathematical Diamonds, MAA, 2003, see p. 79. [Added by N. J. A. Sloane, Jul 05 2009]

EXAMPLE

The reduced residue systems of these numbers are as follows: {{1, {1}}, {2, {1}}, {3, {1, 2}}, {4, {1, 3}}, {6, {1, 5}}, {8, {1, 3, 5, 7}}, {12, {1, 5, 7, 11}}, {18, {1, 5, 7, 11, 13, 17}}, {24, {1, 5, 7, 11, 13, 17, 19, 23}}, {30, {1, 7, 11, 13, 17, 19, 23, 29}}}}}}.

STATUS

approved

editing

#50 by Michael Somos at Sun Feb 16 21:11:21 EST 2020
STATUS

editing

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 29 21:33 EDT 2024. Contains 375518 sequences. (Running on oeis4.)