Forum: FactorDB
2022-05-28, 15:02
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Replies: 549
Views: 101,964
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...
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Forum: Lone Mersenne Hunters
2022-05-28, 14:38
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Replies: 2,145
Views: 315,774
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Forum: Factoring
2022-05-27, 22:28
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Replies: 61
Views: 1,326
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Forum: Factoring
2022-05-27, 21:33
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Replies: 61
Views: 1,326
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...
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Forum: Factoring
2022-05-27, 20:14
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Replies: 61
Views: 1,326
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...
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Forum: Factoring
2022-05-27, 16:59
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Replies: 61
Views: 1,326
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...
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Forum: Aliquot Sequences
2022-05-27, 15:14
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Replies: 238
Views: 11,035
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Forum: Lone Mersenne Hunters
2022-05-23, 18:47
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Replies: 2,145
Views: 315,774
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...
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Forum: NFS@Home
2022-05-20, 02:34
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Replies: 138
Views: 15,666
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:...
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Forum: Msieve
2022-05-19, 18:47
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Replies: 2,210
Views: 216,299
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Forum: NFS@Home
2022-05-19, 17:55
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Replies: 1,926
Views: 179,832
...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...
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Forum: NFS@Home
2022-05-19, 15:34
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Replies: 1,926
Views: 179,832
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Forum: NFS@Home
2022-05-19, 12:47
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Replies: 1,926
Views: 179,832
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Forum: Factoring
2022-05-12, 23:55
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Replies: 17
Views: 719
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...
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Forum: Factoring
2022-05-12, 23:46
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Replies: 17
Views: 719
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...
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Forum: Factoring
2022-05-12, 22:48
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Replies: 17
Views: 719
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...
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Forum: Factoring
2022-05-12, 10:54
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Replies: 17
Views: 719
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Forum: Miscellaneous Math
2022-05-03, 03:35
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Replies: 29
Views: 1,082
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Forum: Miscellaneous Math
2022-05-03, 00:36
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Replies: 4
Views: 154
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Forum: CADO-NFS
2022-04-27, 20:22
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Replies: 8
Views: 426
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...
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Forum: CADO-NFS
2022-04-27, 01:30
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Replies: 8
Views: 426
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...
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Forum: CADO-NFS
2022-04-26, 03:08
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Replies: 8
Views: 426
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Forum: Msieve
2022-04-25, 17:36
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Replies: 2,210
Views: 216,299
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Forum: CADO-NFS
2022-04-25, 17:34
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Replies: 64
Views: 3,250
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Forum: NFS@Home
2022-04-24, 20:27
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Replies: 138
Views: 15,666
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