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Search: Posts Made By: alpertron
Forum: Programming 2022-01-17, 02:30
Replies: 0
Views: 42
Posted By alpertron
Blockly mode for integer factorization calculator

I've just added a new operational mode in my integer factorization calculator (https://www.alpertron.com.ar/ECM.HTM) where you can use Blockly blocks to perform calculations and integer...
Forum: Data 2022-01-13, 20:19
Replies: 1,145
Views: 140,201
Posted By alpertron
I'm in vacations since January 1st for two weeks....

I'm in vacations since January 1st for two weeks. But given the speed the results are being found, I will release these ranges.
Forum: mersenne.ca 2021-12-31, 03:09
Replies: 787
Sticky: mersenne.ca
Views: 103,434
Posted By alpertron
I've found a glitch in the GIMPS process...

I've found a glitch in the GIMPS process visualization.

If you sum the numbers in the column <71 of the page https://www.mersenne.ca/status/tf/0/0/0/100000, the result does not match the number in...
Forum: mersenne.ca 2021-12-30, 12:05
Replies: 9
Views: 213
Posted By alpertron
It works OK now. Thanks a lot. There is a...

It works OK now. Thanks a lot.

There is a problem in the same page if I sort by "Largest factor (bits)". For Mersenne numbers completely factored, your script is using S - L as the key for sorting...
Forum: mersenne.ca 2021-12-30, 12:04
Replies: 9
Views: 213
Posted By alpertron
The current record is 12 prime factors. But even...

The current record is 12 prime factors. But even if we knew 100000 prime factors of the Mersenne number, the probability that the largest prime factor has the same size as the smallest prime factor...
Forum: mersenne.ca 2021-12-30, 03:15
Replies: 9
Views: 213
Posted By alpertron
It works OK now. Another error is that all...

It works OK now. Another error is that all probabilities greater than 99.999% should be 100% and marked in green.

I do not believe it is possible to know 99.999% of the prime factors without...
Forum: mersenne.ca 2021-12-30, 02:43
Replies: 9
Views: 213
Posted By alpertron
I do not know if the last change you did is...

I do not know if the last change you did is related or not (I could not see it in action), but it appears that today the nightly data regeneration for this report takes too long.
Forum: mersenne.ca 2021-12-29, 23:14
Replies: 9
Views: 213
Posted By alpertron
Error in Top Mersenne exponents with the most known factors

in the following Web page: Top Mersenne exponents with the most known factors (https://www.mersenne.ca/manyfactors.php?s=b&o=d&exp_min=1&exp_max=9999999967&fac_min=5&fac_max=20&pct_max=100) ordered...
Forum: mersenne.ca 2021-12-29, 11:06
Replies: 13
Views: 397
Posted By alpertron
The "number of bits" or "bitsize" in this context...

The "number of bits" or "bitsize" in this context is the logarithm to the base 2 of the number without rounding up to the next integer. That's why the sum should be 1999.
Forum: mersenne.ca 2021-12-29, 01:34
Replies: 13
Views: 397
Posted By alpertron
Sum of bits of prime factors exceed exponent on M1999

The number M1999 is completely factored.

In the page https://www.mersenne.ca/manyfactors.php?s=b&o=d&exp_min=1999&exp_max=1999&fac_min=5&fac_max=20&pct_min=0.000000&pct_max=100.000000 the sum of...
Forum: Data 2021-12-28, 14:16
Replies: 7
Views: 533
Posted By alpertron
Yes, that's a "world record". There is a...

Yes, that's a "world record". There is a non-negligible probability of finding the 13th known prime number by increasing B2 to 200M (but this would require a lot of RAM).
Forum: Software 2021-12-28, 13:16
Replies: 331
Views: 15,805
Posted By alpertron
Thanks. Now the number M726064763...

Thanks. Now the number M726064763 (https://www.mersenne.ca/exponent/726064763) has 12 known prime factors. No other Mersenne number with prime exponent has this number of known prime factors.
Forum: Software 2021-12-27, 20:47
Replies: 331
Views: 15,805
Posted By alpertron
You can send me a PM with a URL where I can copy...

You can send me a PM with a URL where I can copy the save file or you can start from scratch (it took 12 hours for step 1 and 13 hours for step 2 in an i5 11400).
Forum: Software 2021-12-27, 18:53
Replies: 331
Views: 15,805
Posted By alpertron
My computer has 32 GB of RAM. I've reserved 20 GB...

My computer has 32 GB of RAM. I've reserved 20 GB so other applications are not slowed down by Prime95.

As you can see in my previous post, the save file requires 272 MiB.

I also saved the...
Forum: Software 2021-12-27, 17:06
Replies: 331
Views: 15,805
Posted By alpertron
Yes, I have the three files: 27/12/2021 ...

Yes, I have the three files:

27/12/2021 00:27 272.282.532 m726064763
26/12/2021 23:57 272.298.293 m726064763.bu
26/12/2021 23:27 272.314.101 m726064763.bu2

Step 2 without...
Forum: PrimeNet 2021-12-27, 15:52
Replies: 5
Views: 665
Posted By alpertron
TJAOI is not using Prime95 for trial factoring....

TJAOI is not using Prime95 for trial factoring. He finds the Mersenne number from the prime factor by using another application. That's why he completed the 67-bit range but there are only a few...
Forum: Data 2021-12-27, 15:07
Replies: 7
Views: 533
Posted By alpertron
I really used B2 = 10M in this test. It is...

I really used B2 = 10M in this test.

It is strange that the step 2 has completed except for the final GCD. But the GCD works OK because it found the prime factor in step 1.

I had the same...
Forum: Software 2021-12-27, 13:00
Replies: 331
Views: 15,805
Posted By alpertron
I found the bug again in 30.8 build 6 when...

I found the bug again in 30.8 build 6 when running step 2.

First I ran step 1 of P-1 on exponent 726064763 using B1 = 1M and it found the prime factor 10702385060027676180416983.

Then I used...
Forum: Data 2021-12-27, 12:50
Replies: 7
Views: 533
Posted By alpertron
Unfortunately there is bug in 30.8 build 6 when...

Unfortunately there is bug in 30.8 build 6 when running step 2.

I used the following line in worktodo.txt:

...
Forum: Data 2021-12-26, 13:37
Replies: 7
Views: 533
Posted By alpertron
New Mersenne number with 12 known prime factors

Up to now there were only 4 Mersenne numbers with 11 known prime factors. They are M7 508 981 (https://www.mersenne.ca/exponent/7508981), M9 100 919 (https://www.mersenne.ca/exponent/9100919), M3 356...
Forum: Software 2021-12-21, 21:40
Replies: 331
Views: 15,805
Posted By alpertron
It is not clear what happens. I tried to run...

It is not clear what happens. I tried to run again but Prime95 process exits so I cannot see what happened.
Forum: Software 2021-12-21, 19:09
Replies: 331
Views: 15,805
Posted By alpertron
After finishing step 2 the following line was...

After finishing step 2 the following line was added to results.json.txt:


[Tue Dec 21 15:57:13 2021]
{"status":"NF", "exponent":726064763, "worktype":"P-1", "b1":100000, "fft-length":41287680,...
Forum: Software 2021-12-21, 15:34
Replies: 331
Views: 15,805
Posted By alpertron
With the new version, the step 1 worked OK. I...

With the new version, the step 1 worked OK. I used B1=100,000. It took 12 minutes to compute the inverse at the end of this step.

For step 2, Prime95 selected B2 = 9*B1. This bound appears to be...
Forum: Software 2021-12-19, 16:35
Replies: 331
Views: 15,805
Posted By alpertron
In my new computer with 32 GB of RAM which...

In my new computer with 32 GB of RAM which supports AVX-512, I added the following line in worktodo.txt:

...
Forum: Software 2021-12-13, 12:45
Replies: 331
Views: 15,805
Posted By alpertron
You are correct. The relevant text is: ...

You are correct. The relevant text is:


With trial factoring done to 2^72, optimal B2 is 641*B1 = 1282000000.
If no prior P-1, chance of a new factor is 8.81%

In the file results.json.txt I...
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