Carmichael function: Revision history

27 September 2024

• curprev 07:1907:19, 27 September 2024‎ CYCcc talk contribs‎ 22,412 bytes +1‎ →‎Numerical examples undo

16 August 2024

• curprev 15:5815:58, 16 August 2024‎ Will Orrick talk contribs‎ 22,411 bytes −601‎ Expand comparison with Euler's totient function in the introduction. Reorganize and shorten numerical examples. undo

1 August 2024

• curprev 17:0517:05, 1 August 2024‎ Graham87 talk contribs‎ 23,012 bytes +32‎ →‎Carmichael's theorems: +anchor for old links (e.g. at RSA (cryptosystem) undo

10 March 2024

• curprev 16:5416:54, 10 March 2024‎ Will Orrick talk contribs‎ 22,980 bytes +37‎ The revised lead defines lambda using an expression involving lambda, which may also cause confusion. Minimization takes place over a set, which is how the previous wording was meant to be read. Added slight clarification of this point. undo
• curprev 05:3405:34, 10 March 2024‎ 103.148.38.47 talk‎ 22,943 bytes −2‎ introduction of m in the lede was confusing. rephrased in terms of \lambda(n) undo Tag: Visual edit: Switched

9 March 2024

• curprev 05:2805:28, 9 March 2024‎ Rtombs talk contribs‎ 22,945 bytes −2‎ →‎Carmichael's theorems: Remove a 't ' typo undo Tags: Mobile edit Mobile web edit

14 November 2023

• curprev 19:5519:55, 14 November 2023‎ Will Orrick talk contribs‎ 22,947 bytes +1,872‎ "Extension for powers of two" is a misleading section heading and out of place, as this section proves a core part of Theorem 1, and is not an extension of anything. I've renamed and moved this, and provided the rest of the proof of Theorem 1. undo
• curprev 15:3515:35, 14 November 2023‎ Will Orrick talk contribs‎ 21,075 bytes +792‎ Incorporate notion of primitive lambda-root into the introduction and numerical examples. Give more accurate title to subsection "Minimality". Slightly elaborate proof in subsection "Divisibility". Small wording changes and typo corrections, undo

13 November 2023

• curprev 04:3104:31, 13 November 2023‎ Will Orrick talk contribs‎ 20,283 bytes +1,955‎ Compress and consolidate the material on computing lambda to try to make it more accessible. Then expand on what Carmichael proved about these expressions, mentioning his notion of primitive lambda-roots. Remove some now-redundant sections. undo
• curprev 02:1702:17, 13 November 2023‎ Will Orrick talk contribs‎ 18,328 bytes −63‎ It was a mistake to use sfn, as it's not used elsewhere in the article. Change style of sfn footnote to match other footnotes. undo

12 November 2023

• curprev 15:2015:20, 12 November 2023‎ DuncanHill talk contribs‎ 18,391 bytes +75‎ Fixing harv/sfn error introduced in preceding edit. ref = {{SfnRef|Carmichael|1914}} and {{sfn whitelist|CITEREFCarmichael1914}}. Please watchlist Category:Harv and Sfn no-target errors and install User:Trappist the monk/HarvErrors.js to help you spot such errors when reading and editing. undo
• curprev 15:0615:06, 12 November 2023‎ Will Orrick talk contribs‎ 18,316 bytes −248‎ add requested page numbers in Carmichael's book; use Gutenberg template (Nabu Press reproduction of Wiley original seems no longer easily available); eliminate duplication of referencing using sfn undo Tag: harv-error

4 October 2023

• curprev 15:0015:00, 4 October 2023‎ 2001:a18:a:1d06:deec:8386:9745:ac47 talk‎ 18,564 bytes +75‎ →‎Divisibility undo

20 September 2023

• curprev 02:3802:38, 20 September 2023‎ Citation bot talk contribs‎ 18,489 bytes +19‎ Alter: pages. Add: s2cid. Formatted dashes. | Use this bot. Report bugs. | Suggested by Abductive | #UCB_webform 898/3824 undo

31 July 2023

• curprev 17:0617:06, 31 July 2023‎ Nomen4Omen talk contribs‎ m 18,470 bytes −7‎ Undid revision 1168073302 by 197.149.231.190 (talk) coprime is sufficient! undo Tag: Undo
• curprev 16:3516:35, 31 July 2023‎ 197.149.231.190 talk‎ 18,477 bytes +7‎ No edit summary undo Tag: Reverted

25 January 2023

• curprev 22:3622:36, 25 January 2023‎ Onel5969 talk contribs‎ m 18,470 bytes +13‎ Disambiguating links to Prime (disambiguation) (link changed to Prime number) using DisamAssist. undo

14 October 2022

• curprev 18:5918:59, 14 October 2022‎ Nomen4Omen talk contribs‎ m 18,457 bytes −33‎ full sentence undo
• curprev 17:5317:53, 14 October 2022‎ MaxBBR talk contribs‎ 18,490 bytes +1‎ Fix modulus m --> n undo
• curprev 15:5815:58, 14 October 2022‎ Felixsj talk contribs‎ m 18,489 bytes −45‎ No edit summary undo Tag: Visual edit

28 June 2022

• curprev 05:1705:17, 28 June 2022‎ WikiCleanerBot talk contribs‎ m 18,534 bytes 0‎ v2.04b - Bot T20 CW#61 - Fix errors for CW project (Reference before punctuation) undo Tag: WPCleaner

21 June 2022

• curprev 19:1319:13, 21 June 2022‎ Sligocki talk contribs‎ 18,534 bytes +292‎ Link to original paper (AFAICT) and year invented. undo

19 April 2022

• curprev 09:2309:23, 19 April 2022‎ Nomen4Omen talk contribs‎ m 18,242 bytes +70‎ →‎Exponential cycle length: more explicit undo

16 April 2022

• curprev 18:1618:16, 16 April 2022‎ SilTheFirst talk contribs‎ m 18,172 bytes −1‎ →‎Properties of the Carmichael function undo
• curprev 08:0908:09, 16 April 2022‎ Nomen4Omen talk contribs‎ m 18,173 bytes +24‎ →‎Computing {{math | λ(n)}} with Carmichael's theorem: i.e. undo
• curprev 06:5206:52, 16 April 2022‎ 93.99.7.18 talk‎ 18,149 bytes +30‎ explicit condition for p,r so reader does not have to deduce it from the list undo

30 March 2022

• curprev 15:2115:21, 30 March 2022‎ Nomen4Omen talk contribs‎ m 18,119 bytes −43‎ →‎Numerical example: trzing to rectify good faith contribution undo

29 March 2022

• curprev 03:1803:18, 29 March 2022‎ Tlatitude talk contribs‎ 18,162 bytes +1,139‎ →‎Numerical example: Added an extended example, to show more detail of the Charmichael function algorithm. undo Tags: Mobile edit Mobile web edit

15 January 2022

• curprev 20:1620:16, 15 January 2022‎ Macrakis talk contribs‎ 17,023 bytes +1‎ Changing short description from "function of interest in number theory" to "Function in mathematical number theory" (Shortdesc helper) undo
• curprev 12:5712:57, 15 January 2022‎ Saolof talk contribs‎ m 17,022 bytes +3‎ →‎{{math | λ(n)}} divides {{math | φ(n)}} undo
• curprev 12:5612:56, 15 January 2022‎ Saolof talk contribs‎ 17,019 bytes +198‎ →‎{{math | λ(n)}} divides {{math | φ(n)}} undo

13 January 2022

• curprev 10:3310:33, 13 January 2022‎ Saolof talk contribs‎ 16,821 bytes +1‎ →‎Properties of the Carmichael function: Reordered subsections undo

12 January 2022

• curprev 23:1523:15, 12 January 2022‎ Saolof talk contribs‎ 16,820 bytes −59‎ →‎Divisibility: Simplified further undo
• curprev 23:1023:10, 12 January 2022‎ Saolof talk contribs‎ 16,879 bytes +96‎ →‎Divisibility: Previous proof was unsatisfactory, and gave no indication why lambda(p) should divide lambda(p^2) for example. undo

7 January 2022

• curprev 15:1115:11, 7 January 2022‎ Macrakis talk contribs‎ 16,783 bytes −13‎ put alternate name with others undo
• curprev 15:1015:10, 7 January 2022‎ Macrakis talk contribs‎ 16,796 bytes +3‎ oops undo
• curprev 15:1015:10, 7 January 2022‎ Macrakis talk contribs‎ 16,793 bytes +44‎ alternate name undo
• curprev 15:0315:03, 7 January 2022‎ Macrakis talk contribs‎ 16,749 bytes −43‎ reword for simplicity undo

6 November 2021

• curprev 00:1100:11, 6 November 2021‎ Blacklemon67 talk contribs‎ 16,792 bytes +213‎ →‎Properties of the Carmichael function: clarify notation for section undo

2 August 2021

• curprev 09:0709:07, 2 August 2021‎ Nomen4Omen talk contribs‎ m 16,579 bytes −98‎ Undid revision 1036677434 by LofASof (talk) (1) "primitive root module" isn't a math term. (2) There is no primitive root mod 8, but lambda(8)=2. undo Tag: Undo
• curprev 02:2702:27, 2 August 2021‎ LofASof talk contribs‎ m 16,677 bytes +98‎ The explanation of the what the Carmicheal Function (lambda) find explains that the function finds the primitive root modulo of a number n. But never mentions the term primitive root modulo. undo Tag: Reverted

17 February 2021

• curprev 02:4202:42, 17 February 2021‎ IznoRepeat talk contribs‎ 16,579 bytes +229‎ clean pre-lead undo Tag: AWB

1 November 2020

• curprev 14:4314:43, 1 November 2020‎ Ericamick talk contribs‎ m 16,350 bytes +3‎ →‎Use in cryptography undo

17 August 2020

• curprev 16:1516:15, 17 August 2020‎ Traffic Tse talk contribs‎ m 16,347 bytes +12‎ →‎Computing {{math|λ(n)}} with Carmichael's theorem undo

2 July 2020

• curprev 17:4417:44, 2 July 2020‎ DannyS712 talk contribs‎ m 16,335 bytes −2‎ Remove extra space around parenthesis undo

20 June 2020

• curprev 21:3121:31, 20 June 2020‎ Nomen4Omen talk contribs‎ m 16,337 bytes −11‎ →‎Average value: typo undo
• curprev 20:0120:01, 20 June 2020‎ Jerodlycett talk contribs‎ m 16,348 bytes +5‎ v2.02 - WP:WCW project (Subscript tag without correct match) undo Tag: WPCleaner

1 May 2020

• curprev 20:5420:54, 1 May 2020‎ AnomieBOT talk contribs‎ m 16,343 bytes +14‎ Dating maintenance tags: {{Page needed}} undo
• curprev 18:5318:53, 1 May 2020‎ 86.145.57.132 talk‎ 16,329 bytes +476‎ Cleanup undo

17 April 2020

• curprev 06:5606:56, 17 April 2020‎ OAbot talk contribs‎ m 15,853 bytes +34‎ Open access bot: doi added to citation with #oabot. undo