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Search: Posts Made By: charybdis
Forum: FactorDB 2022-05-28, 15:02
Replies: 549
Views: 101,865
Posted By charybdis
There is a common theme here: When people post...

There is a common theme here:
When people post here, nothing gets done. When people email Markus, he pays attention. It's pretty clear that Markus doesn't read this thread.

In other words, for...
Forum: Lone Mersenne Hunters 2022-05-28, 14:38
Replies: 2,145
Views: 315,534
Posted By charybdis
I see that Paul's list still hasn't ben updated....

I see that Paul's list still hasn't ben updated. Did the code work correctly?
Forum: Factoring 2022-05-27, 22:28
Replies: 50
Views: 1,152
Posted By charybdis
Stargate: after what happened with Phil...

Stargate: after what happened with Phil Zimmermann and PGP in the 90s I have zero confidence in the US government in this situation.
Forum: Factoring 2022-05-27, 21:33
Replies: 50
Views: 1,152
Posted By charybdis
Thanks factorn, you've cleared up a lot of...

Thanks factorn, you've cleared up a lot of things. The one thing that still bugs me a bit is how strict you made the definition of "strong semiprime", as in practice it means many (often >100) QS/NFS...
Forum: Factoring 2022-05-27, 20:14
Replies: 50
Views: 1,152
Posted By charybdis
Okay, I retract my second comment - I see that...

Okay, I retract my second comment - I see that you did mention that multiple nonces** might be needed to find a strong semiprime. Apologies.

I understand that there is more than just mathematics...
Forum: Factoring 2022-05-27, 16:59
Replies: 50
Views: 1,152
Posted By charybdis
I know next to nothing about blockchain, but...

I know next to nothing about blockchain, but unfortunately it appears you know next to nothing about computational number theory. Here are a couple of questions for you to consider:

1. For the...
Forum: Aliquot Sequences 2022-05-27, 15:14
Replies: 238
Views: 10,929
Posted By charybdis
Henryzz has managed to get CADO running in WSL2....

Henryzz has managed to get CADO running in WSL2. There are some symlinks which need fixing, see this thread (https://mersenneforum.org/showthread.php?p=579111). Not sure if there are any further...
Forum: Lone Mersenne Hunters 2022-05-23, 18:47
Replies: 2,145
Views: 315,534
Posted By charybdis
Congratulations! This comes in at 10th place...

Congratulations!

This comes in at 10th place on the all-time P-1 list (https://members.loria.fr/PZimmermann/records/Pminus1.html), i.e. not restricted to Mersennes. You should drop Paul Zimmermann...
Forum: NFS@Home 2022-05-20, 02:34
Replies: 138
Views: 15,657
Posted By charybdis
QUEUED AS 2_2694M 2,2694M from the...

QUEUED AS 2_2694M

2,2694M from the Cunningham project is a c204 ready for GNFS on 16e-small. Thanks to Gimarel for finding the polynomial. 33/33 just about beats 33/34.

n:...
Forum: Msieve 2022-05-19, 18:47
Replies: 2,210
Views: 216,237
Posted By charybdis
Thank you! The second poly is the clear winner.

Thank you! The second poly is the clear winner.
Forum: NFS@Home 2022-05-19, 17:55
Replies: 1,922
Views: 179,708
Posted By charybdis
...but many other numbers would be completed 10...

...but many other numbers would be completed 10 weeks later in calendar time as a result. If this was some "high-priority" number - for example, if an original base-2 Cunningham had been knocked down...
Forum: NFS@Home 2022-05-19, 15:34
Replies: 1,922
Views: 179,708
Posted By charybdis
I think that must have been intended for smaller,...

I think that must have been intended for smaller, personal-size jobs. It breaks down well below GNFS-200; for example, it suggests GNFS-185 = SNFS-279, and having run both, I can tell you that...
Forum: NFS@Home 2022-05-19, 12:47
Replies: 1,922
Views: 179,708
Posted By charybdis
Firstly, I don't know where you got the idea that...

Firstly, I don't know where you got the idea that SNFS 311 is similar difficulty to GNFS 203; that would be a ratio of 0.65 rather than the more normal 0.68-0.69. Secondly, this isn't SNFS 311, it's...
Forum: Factoring 2022-05-12, 23:55
Replies: 17
Views: 716
Posted By charybdis
A030299 will produce more cubes because the...

A030299 will produce more cubes because the "carrying" ensures that the numbers are smaller and thus more likely to be cubes. Adding two digits on instead of one each time we add a number to the...
Forum: Factoring 2022-05-12, 23:46
Replies: 17
Views: 716
Posted By charybdis
Agreed. My point is that these unknown...

Agreed. My point is that these unknown constraints are extremely unlikely to exist. Off the top of my head, I can't think of a single example of a problem like this where the "correct" heuristic...
Forum: Factoring 2022-05-12, 22:48
Replies: 17
Views: 716
Posted By charybdis
I never intended my argument to be a proof, and...

I never intended my argument to be a proof, and there isn't any way to turn it into one.

Anyway, you ask about whether it's safe to assume that our permutations have the same chance of being cubes...
Forum: Factoring 2022-05-12, 10:54
Replies: 17
Views: 716
Posted By charybdis
Your conjecture is almost certainly false, but we...

Your conjecture is almost certainly false, but we don't have enough computing power to find a counterexample.

Consider permutations of the numbers from 1 to 43. The digit sum is 1 mod 9, so such a...
Forum: Miscellaneous Math 2022-05-03, 03:35
Replies: 29
Views: 1,079
Posted By charybdis
Doesn't look very prime to me, it has two 7-digit...

Doesn't look very prime to me, it has two 7-digit factors:
gp > forprime(p=2,10^7,if(Mod(2,p)^3486784401+3486784401==0,print(p)))
1454521
4965049
Forum: Miscellaneous Math 2022-05-03, 00:36
Replies: 4
Views: 152
Posted By charybdis
Your instincts are good. It's total nonsense....

Your instincts are good. It's total nonsense. There are many, many red flags before you even start reading the "proof".
Forum: CADO-NFS 2022-04-27, 20:22
Replies: 8
Views: 424
Posted By charybdis
Yeah, quartics tend to run substantially faster...

Yeah, quartics tend to run substantially faster than their score would suggest when compared to higher degree polys. But when the score is about the same as the record for 194-digit GNFS, that isn't...
Forum: CADO-NFS 2022-04-27, 01:30
Replies: 8
Views: 424
Posted By charybdis
Curtis has answered question 1, so I'll answer...

Curtis has answered question 1, so I'll answer question 2:



The quartic polynomial for this number arises because the exponent 290 is divisible by 5, and so 11^290+9^290 has an algebraic factor...
Forum: CADO-NFS 2022-04-26, 03:08
Replies: 8
Views: 424
Posted By charybdis
Are you aware of the scale of this job? This is a...

Are you aware of the scale of this job? This is a quartic of difficulty 241. I would guess it is roughly comparable to an "ordinary" SNFS (i.e. a sextic) of difficulty in the high 270s, or GNFS...
Forum: Msieve 2022-04-25, 17:36
Replies: 2,210
Views: 216,237
Posted By charybdis
Together with whatever Sam has run, that's...

Together with whatever Sam has run, that's probably enough ECM for the c202. The c204s can have some more while we wait for polynomials. Thanks Ryan!
Forum: CADO-NFS 2022-04-25, 17:34
Replies: 61
Views: 3,181
Posted By charybdis
A=28 should probably have a slightly lower qmin -...

A=28 should probably have a slightly lower qmin - maybe 7M? - as you'll be sieving a smaller range of Q. We'll see what Curtis says.
Forum: NFS@Home 2022-04-24, 20:27
Replies: 138
Views: 15,657
Posted By charybdis
QUEUED AS 2_2822M 2,2822M c202 from the...

QUEUED AS 2_2822M

2,2822M c202 from the Cunningham project is a GNFS candidate for 16e-small. Thanks to Gimarel for finding the polynomial.

n:...
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