20180608, 21:36  #1  
Bemusing Prompter
"Danny"
Dec 2002
California
4477_{8} Posts 
I did a dou🅱️le 🅱️ackflip when I saw this residue
https://mersenne.org/report_exponent...0657053&full=1
Quote:
Last fiddled with by ixfd64 on 20180612 at 01:18 

20180608, 22:01  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9334_{10} Posts 
BBBBBBBut what do you see wrong wwwwwwith it?

20180608, 22:18  #3 
Sep 2003
3^{2}·7·41 Posts 
I occasionally search for unverified exponents with a residue containing six repeated digits, and verify them. They're pretty rare, obviously.
Recent nonlegit examples were 81857519 and 81857537 with FFFFFFFF800000__, which I posted about elsewhere. That user's other results are being doublechecked by endless_mike, with a fair number of mismatches. 
20180609, 03:00  #4 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
5·1,217 Posts 
The best possible residue would be 6666666666666666
A probability on the order of 2⁻⁶⁴, but one can hope. 
20180609, 08:40  #5 
Oct 2017
++41
5^{3} Posts 
Did we had BADC0FFEE

20180609, 13:19  #6 
Bamboozled!
"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across
2×7×757 Posts 

20180609, 14:53  #7 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
5×1,217 Posts 

20180609, 15:51  #8 
Dec 2011
After milion nines:)
17×83 Posts 

20180609, 16:02  #9 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2^{2}·3^{2}·137 Posts 
Here you go:
badresidues=( 'cllucas', '0x0000000000000002, 0xffffffff80000000', 'cudalucas', '0x0000000000000000, 0x0000000000000002, 0xfffffffffffffffd', 'cudapm1', '0x0000000000000000, 0x0000000000000001', 'gpuowl', '0x0000000000000000', ); 
20180609, 18:56  #10  
"Composite as Heck"
Oct 2017
769 Posts 
Quote:


20180609, 21:32  #11 
"Forget I exist"
Jul 2009
Dumbassville
20300_{8} Posts 
Only 10*16^9 so 3*10^6 % of them.
Last fiddled with by science_man_88 on 20180609 at 21:37 
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