Need Some Papers on mersenne numbers

kurtulmehtap · 2012-10-09, 17:26

Dear All,
Le Mao-hua has ertten some papers on mersenne numbers.
Like
The Prime Divisors of Generalized Mersenne Numbers
Estimation of the number of prime factors of Mersenne numbers
and
On Mersenne Numbers
These 3 papers are referenced by some papers, unfortunately All of them are not available online. Can anybody help?

science_man_88 · 2012-10-09, 21:17

Quote:

Originally Posted by kurtulmehtap

The Prime Divisors of Generalized Mersenne Numbers

http://translate.google.ca/translate...Fid%3D20739042 is what I found

You, may need a better translation though.

kracker · 2012-10-09, 22:59

Quote:

Originally Posted by science_man_88

http://translate.google.ca/translate...Fid%3D20739042 is what I found

You, may need a better translation though.

Google translate is..*usually*..not.. very good on... that type of stuff

science_man_88 · 2012-10-09, 23:11

Quote:

Originally Posted by kracker

Google translate is..*usually*..not.. very good on... that type of stuff

yeah I found it by Google search of intitle:"The Prime Divisors of Generalized Mersenne Numbers"

only 5 results came up and the one I found that wasn't just looking like a paraphrase/ mini quote was this one, problem is that it looks like to get the second page you need to register.

LaurV · 2012-10-10, 02:32

There is nothing in that chinese paper which can't be found on other prime pages. The guy call numbers (b^n-1)/(b-1) "generalized mersenne numbers" and shows that their factors have the known structure. As an observation, we call this "repunits in base b" and this is just "one of many" different mersenne number's generalization. You can google "solinas gmn" or so, the wike articles contain links to those papers.

dabaichi · 2012-10-10, 03:01

Quote:

Originally Posted by kurtulmehtap

Dear All,
Le Mao-hua has ertten some papers on mersenne numbers.
Like
The Prime Divisors of Generalized Mersenne Numbers
Estimation of the number of prime factors of Mersenne numbers
and
On Mersenne Numbers
These 3 papers are referenced by some papers, unfortunately All of them are not available online. Can anybody help?

You can find the second paper here: http://en.cnki.com.cn/Article_en/CJF...Z201201011.htm but it seems that you have to register and pay 1.5 Chinese Yuan in order to download it. Also these articles only have Chinese version.

2012-10-09, 17:26	#1
kurtulmehtap Sep 2009 2²×3² Posts	Need Some Papers on mersenne numbers Dear All, Le Mao-hua has ertten some papers on mersenne numbers. Like The Prime Divisors of Generalized Mersenne Numbers Estimation of the number of prime factors of Mersenne numbers and On Mersenne Numbers These 3 papers are referenced by some papers, unfortunately All of them are not available online. Can anybody help?

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2012-10-10, 02:32	#5
LaurV Romulan Interpreter Jun 2011 Thailand 5²·7·53 Posts	There is nothing in that chinese paper which can't be found on other prime pages. The guy call numbers (b^n-1)/(b-1) "generalized mersenne numbers" and shows that their factors have the known structure. As an observation, we call this "repunits in base b" and this is just "one of many" different mersenne number's generalization. You can google "solinas gmn" or so, the wike articles contain links to those papers.