歡迎來到 財團法人台北市九章數學教育基金會
首頁 新聞區 討論區 檔案下載
重要公告

2018 澳洲AMC數學能力檢定


2017年國際中小學數學能力檢測(IMAS)


第21屆小學數學世界邀請賽(PMWC 2018,香港)與2018國際小學數學競賽(BIMC 2018,保加利亞Burgas市)


2018青少年數學國際城市邀請賽(BIMC 2018,保加利亞Burgas市))

歷史公告

澳洲AMC數學能力檢定

2017 澳洲AMC

2016 澳洲AMC


國際中小學數學能力檢測(IMAS)

IMAS 2017

IMAS 2016


小學數學競賽

小學數學世界邀請賽與國際小學數學競賽

PMWC 2018與BIMC 2018

PMWC 2017與InIMC 2017

國際小學數學及自然科學奧林匹亞(IMSO)

IMSO 2018

IMSO 2017


中學數學競賽

青少年數學國際城市邀請賽

BIMC 2018

InIMC 2017

國際青少年數學奧林匹亞(ITMO )

ITMO 2017

ITMO 2015

國際青少年數學家會議(IYMC )

IYMC 2016


欲查詢其餘歷史公告,可利用首頁右側之關鍵字搜尋功能
目前並未有最新新聞!
主選單
· 回首頁
· 新聞區
· 討論區
· 檔案下載
· 網站連結
· 電子相薄
· 夥伴網站
· 精華文章
/  討論區主頁10
   /  其他
      /  第45個梅森質數
限會員
發布者內容列
孫文先
Moderator



註冊日: 2002-07-30
發表數: 1094


 第45個梅森質數

以下資料請參考,更進一步資料請參考

http://www.mersenne.org/
http://www.equn.com/gimps/

http://primes.utm.edu/notes/M45_46.html

GIMPS found two new primes: 2^43112609-1 (about 12.9 million digits, Aug 08) and 2^37156667-1 (only 11.1 million digits, Sept 08).

It had been about two years since GIMPS had found a prime and also two years longer than we had expected to wait for a 10,000,000 digit prime... Part of the reason for the anticipation was that such a prime would win the $100,000 prize from the Electronic Fronteir Foundation. So we waited...

Edson Smith had spent the last 10 years serving as Computing Manager for the UCLA Mathematics department. He decided to change some of the departments screen savers to something more productive, and placed the GIMPS software on these machines. On August 23rd 2008, one of them found the 45th known Mersenne

2^43,112,609-1 (12,978,189 digits).
Edson calls it the UCLA Mersenne prime in his excellent FAQ.

It takes a lot of work to verify such a behemouth, and as that work was being completed, lightening struck again! On September 6th 2008, Hans-Michael Elvenich (who runs www.primzahlen.de) in Langenfeld Germany found

2^37,156,667-1 (11,185,272 digits),
also as part of the GIMPS project.

Lightening struck twice at UCLA as well, in fact eight times! In 1952, Professor Raphael Robinson found five Mersennes, and in 1961, Professor Alexander Hurwitz found two more.

Some have asked if lightening also struck twice in another way--are these primes surpisingly close together? Probably not. We know a fair amount about the Mersennes, though not enough yet to prove there are infinitely any of them. However there is a heuristic argment that they should follow a simple pattern, and the gaps between the log of the log of these primes follow very closely to what is expected.


_________________
孫文先 敬上

 2008-09-19 18:57個人資料傳送 Email 給 孫文先
孫文先
Moderator



註冊日: 2002-07-30
發表數: 1094


 Re: 第45個梅森質數

在2013年1月25日任教於 University of Central Missouri.的 Dr. Curtis Cooper 發現了據信是第48個梅森質數的目前已知的最大質數。

此質數為 2^57,885,161-1。它共有 17,425,170 位數。詳情請瀏覽
http://www.mersenne.org/default.php

為什麼會有一群人樂此不疲地尋找最大質數?
除了樂趣與檢驗電腦功能外,它其中一個運用是在密碼學方面,請參考---密碼學, 霍安琪著,九章出版社出版。


_________________
孫文先 敬上

 2013-02-08 21:35個人資料傳送 Email 給 孫文先


九章數學出版社、九章數學基金會版權所有
本網頁各鍊結標題及鍊結內容歸原權利人所有
Copyright 2000 ~2004九章數學出版社、九章數學基金會
本網站內所有文字及資料版權均屬九章所有,未經書面同意之商業用途必究
This web site was made with XOOPS, a web portal system written in PHP.
XOOPS is a free software released under the GNU/GPL license.

TW XOOPS Official WebsiteFreeBSD Official WebsiteApache Official Website

Powered by XOOPS 1.3.10 © 2002 The XOOPS Project