I did a dou🅱️le 🅱️ackflip when I saw this residue

ixfd64 · 2018-06-08, 21:36

https://mersenne.org/report_exponent...0657053&full=1

Quote:

4CD14BBBBBBB66CE

Surprisingly, it's legit!

Batalov · 2018-06-08, 22:01

BBBBBBBut what do you see wrong w-w-w-w-w-with it?

GP2 · 2018-06-08, 22:18

I occasionally search for unverified exponents with a residue containing six repeated digits, and verify them. They're pretty rare, obviously.

Recent non-legit examples were 81857519 and 81857537 with FFFFFFFF800000__, which I posted about elsewhere. That user's other results are being double-checked by endless_mike, with a fair number of mismatches.

retina · 2018-06-09, 03:00

The best possible residue would be 6666666666666666

A probability on the order of 2⁻⁶⁴, but one can hope.

heliosh · 2018-06-09, 08:40

Did we had BADC0FFEE

xilman · 2018-06-09, 13:19

Quote:

Originally Posted by retina

The best possible residue would be 6666666666666666

A probability on the order of 2⁻⁶⁴, but one can hope.

Personally I'd rather see 00000000000000000

retina · 2018-06-09, 14:53

Quote:

Originally Posted by xilman

Personally I'd rather see 00000000000000000

Nah, those are too common. There are already 50 of them. Boring.

pepi37 · 2018-06-09, 15:51

Quote:

Originally Posted by retina

Nah, those are too common. There are already 50 of them. Boring.

kriesel · 2018-06-09, 16:02

Quote:

Originally Posted by xilman

Personally I'd rather see 00000000000000000

Here you go:

badresidues=(
'cllucas', '0x0000000000000002, 0xffffffff80000000',
'cudalucas', '0x0000000000000000, 0x0000000000000002, 0xfffffffffffffffd',
'cudapm1', '0x0000000000000000, 0x0000000000000001',
'gpuowl', '0x0000000000000000',
);

M344587487 · 2018-06-09, 18:56

Quote:

Originally Posted by GP2

I occasionally search for unverified exponents with a residue containing six repeated digits, and verify them. They're pretty rare, obviously.

Recent non-legit examples were 81857519 and 81857537 with FFFFFFFF800000__, which I posted about elsewhere. That user's other results are being double-checked by endless_mike, with a fair number of mismatches.

I await the research paper on residues that contain 5318008 ;)

science_man_88 · 2018-06-09, 21:32

Quote:

Originally Posted by M344587487

I await the research paper on residues that contain 5318008 ;)

Only 10*16^9 so 3*10^-6 % of them.

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2018-06-08, 22:01	#2
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 9334₁₀ Posts	BBBBBBBut what do you see wrong w-w-w-w-w-with it?

2018-06-08, 22:18	#3
GP2 Sep 2003 3²·7·41 Posts	I occasionally search for unverified exponents with a residue containing six repeated digits, and verify them. They're pretty rare, obviously. Recent non-legit examples were 81857519 and 81857537 with FFFFFFFF800000__, which I posted about elsewhere. That user's other results are being double-checked by endless_mike, with a fair number of mismatches.

2018-06-09, 03:00	#4
retina 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.

2018-06-09, 08:40	#5
heliosh Oct 2017 ++41 5³ Posts	Did we had BADC0FFEE