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-   -   Holy new Mersenne prime, Batman! (M47 related) (https://www.mersenneforum.org/showthread.php?t=10564)

cheesehead 2008-09-06 22:18

That conspiracy theory again ...
 
[quote=Mini-Geek;141168]Check out this thread:
[URL]http://www.mersenneforum.org/showthread.php?t=10616[/URL]
Is it possible we just found M46 as well? Gotta admit, it sounds like it can't be, but hey it's there...[/quote]GIMPSTOC (Great Internet Mersenne Prime Security-Through-Obscurity Cabal) has stepped up its efforts!

Watch as the supposed number of Unverified Primes approaches M44 itself!

Andi47 2008-09-06 22:31

[QUOTE=Mini-Geek;141168]Check out this thread:
[url]http://www.mersenneforum.org/showthread.php?t=10616[/url]
Is it possible we just found M46 as well? Gotta admit, it sounds like it can't be, but hey it's there...[/QUOTE]

?!?¿¿???¿!!??

TWO primes within a few weeks?¿???¿¿¿??¿ :banana: :shock:

Edit: Perhaps we should launch the "predict M47", "predict M48" and "predict M49" threads quicky...:alien:

Edit 2: Who has invented the [URL="http://www.perrypedia.proc.org/index.php/Syntron"]syntronic[/URL] computers? I want to have one of those...

Batalov 2008-09-06 23:47

Clearly, Brownian movement covers any [I]small[/I] search space pretty quickly. For one thing, the obvious decoy was probably double-checked more than 5 times already (3 times on V5 server alone), but many readers of the forum probably set their sights on all other numbers out of that short list - ...and now someone simply succesfully double-checked it again (if they started on the 23rd already, on a modern oveclocked Quad)...

Pure speculation that is, of course.

biwema 2008-09-07 00:32

[QUOTE]Wow, nice find! I'm surprised nobody else noticed that.

The residue of M42760397 (0xA6090C299C0678__) has a strangely low proportion of hexadecimal digits. Does anyone else find it a bit... eye-catching? [/QUOTE]

I was rather thinking of another candidate. Indeed, we found the suspicious residue attached to a number that was reported beween 7:00 and 8:00, but I cannot remember any post in here that says that the "Prime UNVERIFIED" notice appeared before 18:00. Therefore I was searching in that area. Tt is still possible that the fake residue is put on a 7:xx candidate.
Did
32428427 69 0xB6C80137FEDB7E__ 23-Aug-08 07:49
have the fake residue also between the 8:00 and 17:00 cleared summary or was there a different one?

Have a look at suspicious candidates in the list below:

[QUOTE=Graff;139759]That would appear to be the biggest unknown ATM (other than the
value of the new Mersenne prime, obviously). I personally
think it unlikely that the notice of the unverified prime appeared
much before 19:00, simply because of the number of people
who check those pages.

If someone can show that the notice was there in the 18:00 UTC status
report, then the result was probably received between 17:00 and
18:00 UTC, meaning that the following are candidates:

[CODE]42027443 69 0x8EFFA1B8935893__ 23-Aug-08 17:56 oxcoda None
33194627 69 0xDB4A0BAD6B161F__ 23-Aug-08 17:47 sPat hardwood
41129141 69 0xD1663E7FC97098__ 23-Aug-08 17:46 S692347 Lab
39427627 69 0x51557590030585__ 23-Aug-08 17:46 brandonlarson calculus
41539793 75 0x391960A6533F73__ 23-Aug-08 17:45 RichJacot freex4600-1
38527129 69 0xEF582D2757B573__ 23-Aug-08 17:41 mbdil homedell
43690483 69 0x386F6A9B1612FE__ 23-Aug-08 17:39 KUNCEVO6 P4-2400-GR
42908623 69 0x024114B12D6C14__ 23-Aug-08 17:38 curtisc grn307c-08l
42259759 69 0x840BDEC2C1B905__ 23-Aug-08 17:08 belynam awesome2
41122339 69 0x6B544F1F930395__ 23-Aug-08 17:06 curtisc wd-004--06l

[/CODE]

Notice a familiar team appears twice in the above list...

Finding someone with a copy of the 18:00 UTC report that [I]doesn't[/I]
show the possible prime would be helpful in confirming that the
candidate is in the first list I posted.
[/QUOTE]

biwema 2008-09-07 00:45

Yes, i know it sounds rather stupid but....

32582657 68 L 0x663C8660956654__ 04-Sep-06 17:33 curtisc wd-102--04l

When Mxx is discovered, take ther digit y = 50 - xx (in this case 50 - 44 = "6") and put it six times into the residue.

So for M45 we have to find a residue with six "5" (50 - 45). Interestingly, that number has also a "very" low portion of hexits.

:whistle:

ixfd64 2008-09-07 00:52

Hmm, this is getting more and more intriguing. It's definitely possible that "they" added one or more "features" (since the discovery of M44) to throw us off.

If that's the case, then here are the things I could think of:

1. The "Prime, UNVERIFIED: 1" does not appear until several hours after a new prime is reported.
2. Fake residues are applied to more than one other exponent.
3. Fake residues are applied to exponents outside of the time span of the real one.

I find it somewhat odd that suspicious exponents were found in both the 07:00-08:00 and the 17:00-18:00 time spans.

*hums [i]X-Files[/i] theme*

jrk 2008-09-07 02:06

The fake residue of M44 0x663C8660956654__ has 10 of its digits divisible by 3.

0x[U][B]663C[/B][/U]8[U][B]6609[/B][/U]5[U][B]66[/B][/U]54__

There is only about 1.05% chance that a random 14-digits masked residue will have 10 or more digits divisible by 3.

Could that help to determine an algorithm to make the residue?

Also considering that, this result between 0700 and 0800 23 Aug 2008 stands out:

[code]42760397 70 0xA6090C299C0678__ 23-Aug-08 07:46 curtisc JCKL-ccd62L[/code]0xA[U][B]6090C[/B][/U]2[U][B]99C06[/B][/U]78__

coyote 2008-09-07 02:07

biwema: see msg #106

[quote=patrik;139997]Furthermore, I can confirm that "Prime UNVERIFIED" first occurred in the report from 08:00 UT.[code]Status Summary Report 23 Aug 2008 07:00 (23 Aug 2008 00:00 Pacific)
[---]
------- Mersenne Exponent Test State -------

Assigned in Tests Cleared Since Last Synchronization

Factoring only : 8963 Factored composite : 798
Lucas-Lehmer testing : 73207 Lucas-Lehmer composite: 4375
Double-checking LL : 9387 Double-checked LL : 1596
---------------------- ------- ---------------------- -------
TOTAL : 91557 TOTAL : 6769[/code][code]Status Summary Report 23 Aug 2008 08:00 (23 Aug 2008 01:00 Pacific)
[---]
------- Mersenne Exponent Test State -------

Assigned in Tests Cleared Since Last Synchronization

Factoring only : 8967 Factored composite : 798
Lucas-Lehmer testing : 73223 Lucas-Lehmer composite: 4391
Double-checking LL : 9388 Double-checked LL : 1599
Prime, UNVERIFIED : 1
---------------------- ------- ---------------------- -------
TOTAL : 91578 TOTAL : 6789[/code][/quote]

jrk 2008-09-07 02:30

Continuing from my last post

Hexadecimal digits that are divisible by 3, written in binary:

0 == 0000
3 == 0011
6 == 0110
9 == 1001
C == 1100
F == 1111

They are the only such digits that contain an even number of 1's (or 0's) in sequence (if we allow for wrapping around the ends as in 1001).

Mini-Geek 2008-09-07 02:34

Yeah, it went back down to 1. I wonder why...can we get any comment from someone in the know as to what just happened?

jrk 2008-09-07 02:54

It continues to be interesting if we ignore the digit F and only look for digits 0, 3, 6, 9, and C (all digits <F divisible by 3). That makes the probability of having a masked 14 digit residue having the property that it has 10 or more of these digits 0.24%.

M44's fake residue has 10 digits 0, 3, 6, 9, and C.

42760397's residue 0xA6090C299C0678__ also has 10 digits 0, 3, 6, 9, and C, and is the only one with this remarkable property between 0700 and 0800 23-Aug-2008.

Coincidence?


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