20210429, 00:11  #562  
Feb 2017
Nowhere
2^{2}×1,523 Posts 
Quote:
PRP_PRP_PRP_PRP_ But here, although the history says the remaining cofactor is a probable prime, the PRP cofactor residue is a hex value with, I presume, the last few digits obscured pending confirmation... 

20210429, 01:05  #563  
Einyen
Dec 2003
Denmark
110101010101_{2} Posts 
Quote:
Now I ran it again and unintentionally double checked my own result, now it shows as PRP. But PRPCF usually do not have hidden or fake residues? I'm not sure why it used type 1 PRP test, here in the 2nd manual test I specifically told it to do a type 5 test. Someone else please double check it as well. Last fiddled with by ATH on 20210429 at 01:06 

20210429, 04:47  #564 
Sep 2003
13×199 Posts 
Like Ryan's other recent factor discoveries, the factor got reported almost immediately to FactorDB (by Ryan himself?), and the cofactor is usually already certified prime there before the first PRP test completes on PrimeNet.
FactorDB link Last fiddled with by GP2 on 20210429 at 04:58 
20210429, 05:23  #565 
Romulan Interpreter
"name field"
Jun 2011
Thailand
3·5·683 Posts 
Wow, 61 digits? That's a beast! Congrats Ryan!

20210429, 11:14  #566 
Feb 2017
Nowhere
1011111001100_{2} Posts 
A 61 decimal digit factor winkled out. Amazing!
Whatever the problem was with the PRP cofactor residue, it's been fixed. Two tests show a residue of PRP_PRP_PRP_PRP_ And, as previously noted, the cofactor is already certified prime. Another fullyfactored Mersenne composite! 
20210520, 13:50  #567 
Sep 2003
13·199 Posts 
There are now 357 known Mersenne numbers with prime exponent that are composite and either fully factored or probably fully factored.
The most recent is M4021. Its final factor (66 digits) was found by Ryan Propper on 20210519 and the PRP test was done by user "mnd9". FactorDB link The cofactor was already certified prime yesterday on FactorDB. 
20211106, 11:20  #568 
"Tucker Kao"
Jan 2020
Head Base M168202123
1440_{8} Posts 
Just finished the PRPCF of M3769231 and M5078387, looks like Ben Delo will certify both exponents like last time.
Wondering whether anyone has a PPRP cofactor with the exponent size over 1M on the record? Last fiddled with by masser on 20211106 at 15:12 Reason: read more, post less 
20211106, 15:17  #569 
Jul 2003
Behind BB
11110011010_{2} Posts 

20211106, 16:27  #570 
Feb 2017
Nowhere
2^{2}×1,523 Posts 

20211106, 16:45  #571 
Jul 2003
Behind BB
2×7×139 Posts 
I would like young Tucker to do some of the legwork himself.

20211106, 21:30  #572  
"Tucker Kao"
Jan 2020
Head Base M168202123
2^{5}×5^{2} Posts 
Quote:


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