20211121, 12:36  #1 
May 2013
Poland
2×3×17 Posts 
GHzDays credit
5000111 has a factor of 10000223.
I tried to find another factor by three methods: ECM; TF and PP1. For the effect, see the attachment. GHzDays credit was calculated for two methods (ECM and PP1). For the TF method, no. The TF method has added value to the GIMPS project and should be appreciated with GHzDays credit. Something's not right here. 
20211121, 14:39  #2  
Jul 2003
Behind BB
1806_{10} Posts 
Quote:


20211121, 16:46  #3  
May 2013
Poland
102_{10} Posts 
Quote:
TJAOI has probably tested all Mersenne numbers with a found factor up to the TF68 range, but it only reports results when it finds another factor. There is nothing in the example provided M500000003 that the Mersenne count tested was tested by TJAOI or anyone using the P1/ECM method. 

20211121, 17:39  #4  
Dec 2016
3×5×7 Posts 
But it is also not disproven by it, so the example is quite pointless. Please take masser's advise and search the forum, there has been in depth analysis of TJAOI's work.
Quote:
Last fiddled with by nordi on 20211121 at 17:42 

20211121, 18:54  #5  
May 2013
Poland
2×3×17 Posts 
Quote:
For example, I found a factor 6864212346810681024459763168 = 2^5 × 11 × 83 × 381233 × 1081139 × 57003029 + 1 by method P1 for 57003029 (B1=1800000). This factor didn't find user mgpainter who tested this Mersenne number for B1=605000 and B2=14066250. 

20211227, 15:52  #6  
Aug 2002
Buenos Aires, Argentina
2·3^{2}·79 Posts 
Quote:
If you look at the table that includes more details, you will find that TJAOI found more prime factors in the range 64 to 67 bits than all other users combined. You can see his progress at https://www.mersenne.ca/tjaoi.php . Most of the factors he finds are monotonically increasing. He is also working on other numbers trying to factor them in the range 69 to 71 bits where he probably uses Prime95. 

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