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The contents of the Safe prime page were merged into Safe and Sophie Germain primes on 27 June 2020. For the contribution history and old versions of the redirected page, please see its history; for the discussion at that location, see its talk page. |
With good intentions, a couple of anonymous users added some redundant passages to the article, repeating some definitions with extremely similar wording. The paragraphs they added on Sophie Germain herself are relevant but make more sense in the article on Sophie Germain. These edits resulted in an article that looked very incoherent. I'm not inclined to question their paragraph on the largest known Sophie Germain prime, but in the interest of detangling the rest of what they wrote I have also taken it out. PrimeFan 15:39, 5 October 2005 (UTC)
The current version of the article says that:
That comes as a surprise to me. I watched the film once, I recall Gwyneth Paltrow's character quoting a large Sophie Germain prime during the party at her house, but I don't recall anything that explicitly said that's what the proof was about. Later on Hal describes it as proving something that people've been trying to prove for centuries, but he doesn't any more detail than this. In general, the movie is not so much about any particular mathematical concept as it is about the psychology of an old math genius and his daughter. PrimeFan 21:45, 5 April 2006 (UTC)
Oh, it's a result, a proof. It looks like a proof. It is a proof. A very long proof. I haven't read through it all yet or checked it. I don't even know if I could check it. But if it's a proof of what I think it's a proof of, it's a very important proof.
What does it prove?
It looks like it proves a mathematical theorem about prime numbers which mathematicians have been trying to prove since there were mathematicians.
You know about this?
- Is it any good?
- It's historic, if it checks out.
What does it mean?
It means that when everybody thought your dad was crazy, he did some of the most important mathematics ever. If it checks out, it means you publish instantly. You hold press conferences. It means that all newspapers around the world are gonna want to talk to the person who found this notebook.
The section about random number generation could use some work.
The section claims that random number generation is a practical application of Sophie German primes, but the section gives no reference for this claim. Using Sophie Germain primes is not one of the mainstream ways to generate random numbers. It is not even listed in Wikipedia's List_of_random_number_generators. If the technique is practical, the section should cite at least one case in which it was used in practice, and give other evidence as needed make it clear that the technique has been established as practical.
Also, the section claims that each digit can be deduced from the previous digit. This is not true (or the example is wrong). Look at the digit '7' in the example. According to the section, the value of the next digit can be deduced merely by the presence of a 7, but in the example, 7 is followed by both 8 and by 3 in the digit stream. Maybe something was lost here in the translation from a mathematical paper to Wikipedia.
Finally, the section should say what is meant by a pseudo-random sequence. Any sequence can be considered a pseudo-random sequence. What is meant is probably that such a sequence produced in the way described in this section has certain properties that are viewed as desirable in pseudo-random sequences. The section should at least cite a reference for this; even better would be to say what one or more of those properties are.
ATBS 03:13, 12 November 2009 (UTC)ATBS —Preceding unsigned comment added by ATBS (talk • contribs)
Hi everyone. I suggest that the following external link (with some more information) be added to this article:
http://vixra.org/abs/1202.0063
I'm sorry I included the link in first place without giving enough information about it (information that you may have needed).
This link directs to an article posted on an e-print archive (viXra.org). Articles posted on that website are not necessarily peer-reviewed and of course that website doesn't review articles posted there (the same happens with the well-known website arXiv.org).
The article proves two theorems which, in particular, prove that there are infinitely many Sophie Germain Prime Numbers.
I understand that even if the work is correct, Wikipedia users probably don't have any guarantee that it is correct, but this article could be linked to the mentioned work and a note could be placed next to the external link stating that this is "proposed solution" to the problem that is mentioned in this article.
I would include the external link as shown below:
In this way we are telling Wikipedia users that Wikipedia is not saying whether the work is correct or incorrect.
Of course if you have any other suggestions on how to include the external link and which note to place next to external link, that would be great.
Regards,
--Gshp (talk) 02:30, 25 February 2012 (UTC)
According to primegrid a new record SG prime has been found, April 2012. Bubba73 You talkin' to me? 00:02, 18 April 2012 (UTC)
It would be nice to find some information on why the name "Sophie Germain prime". In particular:
Do we need safe prime as a separate article? These are rather like twin primes. It's true in this case we have separate names for the upper and lower prime, but mathematically they go together. --99.238.163.176 (talk) 17:05, 11 April 2019 (UTC)
(53) est une unité de Z/210 et 53 est un germain. Considérons alors l'inverse de (53) dans Z/210 : c'est (107). Considérons alors la suite arithmétique de premier terme 107 et de raison 210: elle fournit au moins 6 jumeaux, à savoir (107,109), (1787,1789), (1997,1999) et (3257,3259), (3467,3469, (4517,4519)... En 1787, Sophie Germain avait 11 ans et 13 ans en 1789. La dernière partie est sans doute une coïncidence mais la première ne correspondrait-elle pas à une propriété des germains ou d'objets mathématiques associés qu'il serait heureux de voir figurer dans wp? Cordialement et bon casse-tête.--Stefan jaouen (discuter) 18 août 2019 à 17:49 (CEST) — Preceding unsigned comment added by Stefan jaouen (talk • contribs) 16:10, 18 August 2019 (UTC)
This article was the subject of a Wiki Education Foundation-supported course assignment, between 22 August 2022 and 12 December 2022. Further details are available on the course page. Student editor(s): AlizianaE (article contribs).
— Assignment last updated by AlizianaE (talk) 11:56, 9 December 2022 (UTC)