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Forum: Information & Answers 2021-11-05, 21:04
Replies: 69
Views: 10,197
Posted By VBCurtis
I, too, am willing to run stage 2 on some...

I, too, am willing to run stage 2 on some big-bound ECM curves for M1277. I have a 128GB machine with ~100GB free currently, so bounds on the order of B1=3e9-6e9 are fine with me.
Forum: Information & Answers 2021-11-04, 04:38
Replies: 69
Views: 10,197
Posted By VBCurtis
I used the rather more naive "odds of an n-bit...

I used the rather more naive "odds of an n-bit factor are around 1/n" and summed 1/66 through 1/80. That's in the vicinity of 20%, rounded down because actual factors-found rates are less than 1/n....
Forum: Information & Answers 2021-09-24, 16:14
Replies: 69
Views: 10,197
Posted By VBCurtis
You're in a math forum, talking about something...

You're in a math forum, talking about something for which actual numerical probabilities are not hard to compute- that is Batalov's homework assignment for you, after all. So, you read the...
Forum: Information & Answers 2018-05-06, 03:04
Replies: 69
Views: 10,197
Posted By VBCurtis
I did some more test-sieving, enough to figure...

I did some more test-sieving, enough to figure out that lambda isn't quite what I thought it was: it seems that lambda is the multiple of the lim (in bits) that a cofactor is allowed to be, rather...
Forum: Information & Answers 2018-04-27, 05:09
Replies: 69
Views: 10,197
Posted By VBCurtis
I tried that in past experiments, and -J 16...

I tried that in past experiments, and -J 16 increases yield 40%, as expected. However, it is quite unstable; something like 25% of the test-sieves crashed (dQ=1000 per test). One candidate had no...
Forum: Information & Answers 2018-04-26, 06:22
Replies: 69
Views: 10,197
Posted By VBCurtis
I got curious, too, so I tested the same poly as...

I got curious, too, so I tested the same poly as fivemack:
16f siever, prime Q only, lambda = 3.8, alim=rlim=536M, 39-bit LP:
mfbr/a = 112 (3 large primes on each side)
Q=400M 4062 relations 1.64...
Forum: Information & Answers 2018-04-24, 17:08
Replies: 69
Views: 10,197
Posted By VBCurtis
This is indeed what CADO does. A single...

This is indeed what CADO does. A single 4-threaded instance of the I=17 siever will use the same memory as 1-threaded; I haven't tried more than 4 threads.

I had in mind that large-memory folks...
Forum: Information & Answers 2018-04-23, 19:32
Replies: 69
Views: 10,197
Posted By VBCurtis
The standard suggestion for ECM depth is 0.21 or...

The standard suggestion for ECM depth is 0.21 or 0.20 * digits (the multiplier shrinks a little as the input grows, 0.22 is used for small jobs); that's 77 to 81 in this case. I'd call half a t80...
Forum: Information & Answers 2018-04-23, 17:07
Replies: 69
Views: 10,197
Posted By VBCurtis
Page 15 of https://eprint.iacr.org/2014/653.pdf...

Page 15 of https://eprint.iacr.org/2014/653.pdf summarizes matrix size and CPU-time for a list of mersenne factorizations completed by the CADO group.

Sampling, 2^1123-1 was 124M matrix, and took...
Forum: Information & Answers 2018-04-23, 07:01
Replies: 69
Views: 10,197
Posted By VBCurtis
You could run SNFS on it. If you get an Amazon...

You could run SNFS on it. If you get an Amazon AWS account, you could likely solve it within the year for $10,000 or so. Ok, maybe $20k.

There's a stub of an explanation at...
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