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Forum: GPU to 72 2022-12-06, 13:39
Replies: 5
Views: 929
Posted By alpertron
I found that this page has not been updated in...

I found that this page has not been updated in the last few days. For example, I found one factor yesterday and another today (both in the range 17.1M), but the Web page has not changed.
Forum: Data 2022-10-22, 18:13
Replies: 229
Views: 26,340
Posted By alpertron
With respect to the range M17.1, my computer ran...

With respect to the range M17.1, my computer ran P-1 with bounds B1 = 1M, B2 = 500M on 1999 Mersenne numbers, giving 83 factors.

Now the computer is running P-1 with B1 = 4M, B2 = 2G, and it found...
Forum: Programming 2022-10-11, 02:56
Replies: 0
Views: 851
Posted By alpertron
Animation for Ulam spiral and Gaussian prime web applications

I've just added animation to these two graphics applications: Ulam spiral (https://www.alpertron.com.ar/ULAM.HTM) and Gaussian prime (https://www.alpertron.com.ar/GAUSSPR.HTM).

After pressing the...
Forum: Homework Help 2022-10-10, 02:00
Replies: 7
Views: 1,738
Posted By alpertron
When n = 4, 2n+1 = 17 is not multiple of 3. ...

When n = 4, 2n+1 = 17 is not multiple of 3.


In general, since 2^n is not multiple of 3, one of (2^n-1) or (2^n+1) must be multiple of 3.

You can continue from here.
Forum: Data 2022-10-08, 13:51
Replies: 229
Views: 26,340
Posted By alpertron
17.1M complete. My computer found 83 factors...

17.1M complete. My computer found 83 factors while running P-1 with bounds B1=1M, B2=500M.

I will continue with the same range, this time with B1=4M, B2=2G in order to reach 4000 factors in this...
Forum: Factoring 2022-09-19, 01:20
Replies: 19
Views: 1,318
Posted By alpertron
Ask other people that are running that browser to...

Ask other people that are running that browser to run the calculator so you can check whether it works or not.
Forum: Factoring 2022-09-19, 00:46
Replies: 19
Views: 1,318
Posted By alpertron
I will need the output shown in the browser...

I will need the output shown in the browser console.

Please be sure that you are running the current version. Possibly some Javascript function does not work on old browsers.
Forum: Factoring 2022-09-16, 11:44
Replies: 19
Views: 1,318
Posted By alpertron
A few weeks ago I stopped compatibility with...

A few weeks ago I stopped compatibility with Internet Explorer. This reduced the size of the application, which is very important because the entire program is downloaded by your browser before...
Forum: Factoring 2022-09-15, 01:15
Replies: 19
Views: 1,318
Posted By alpertron
I found some errors in my code. Please refresh...

I found some errors in my code. Please refresh the page (CTRL-F5) and let me know if the fix works for you.
Forum: mersenne.ca 2022-09-09, 12:36
Replies: 973
Sticky: mersenne.ca
Views: 138,752
Posted By alpertron
There is a problem in the exponent details page. ...

There is a problem in the exponent details page.

For example: https://www.mersenne.ca/exponent/17187307

You can see that the Difference row shows the difference between the Actual and GPU72...
Forum: Data 2022-08-26, 19:02
Replies: 1,414
Views: 213,820
Posted By alpertron
Actually the vast majority of factors are found...

Actually the vast majority of factors are found with TF with programs using GPU (so Prime95 is not relevant for the task of reducing the number you cite above to 20,000,000). The most prolific...
Forum: Factoring 2022-08-19, 20:55
Replies: 42
Views: 12,738
Posted By alpertron
After a lot of work by Eric Jeancolas, the table...

After a lot of work by Eric Jeancolas, the table of minimal and maximal base-2 brilliant numbers is complete up to exponent 400, as you can see at https://www.alpertron.com.ar/BRILLIANT2.HTM.
Forum: Data 2022-08-16, 13:38
Replies: 229
Views: 26,340
Posted By alpertron
I finished the ranges 17.6M and 17.8M. Now they...

I finished the ranges 17.6M and 17.8M. Now they have 4000 exponents with known factors.

I will continue with the range 17.1M.
Forum: PrimeNet 2022-07-05, 12:13
Replies: 2,697
Views: 361,836
Posted By alpertron
It appears that there is a problem in the key...

It appears that there is a problem in the key "i". In the same sentence "avalable" should be "available".
Forum: PrimeNet 2022-07-04, 23:47
Replies: 2,697
Views: 361,836
Posted By alpertron
The download software...

The download software (https://www.mersenne.org/download/) page says "Huge mprovements" instead of "Huge improvements"
Forum: Data 2022-06-18, 16:00
Replies: 229
Views: 26,340
Posted By alpertron
I want to reserve 17.6M, 17.7M and 17.8M. ...

I want to reserve 17.6M, 17.7M and 17.8M.

The range 17.1M requires extra TF that I cannot perform because I do not have a powerful GPU.
Forum: Data 2022-06-17, 19:34
Replies: 229
Views: 26,340
Posted By alpertron
Now all these ranges have 4000 exponents with...

Now all these ranges have 4000 exponents with known prime factors. So I unreserve them.
Forum: mersenne.ca 2022-06-12, 12:55
Replies: 2
Views: 672
Posted By alpertron
It is working OK. Thanks.

It is working OK. Thanks.
Forum: mersenne.ca 2022-06-11, 13:57
Replies: 2
Views: 672
Posted By alpertron
Change in the tool to find P-1 done with the worst bounds

I found that when the exponent is less than 10M, you can see Mersenne numbers with probabilities that have been factoring using P-1 from 0% to 19.9%.

If you enter a range of exponents greater than...
Forum: Programming 2022-06-02, 12:21
Replies: 39
Views: 25,491
Posted By alpertron
I've just uploaded to the Web server a new...

I've just uploaded to the Web server a new version of the polynomial root calculator. Now it can compute the exact roots of quintic equations when the Galois group is 5 (all five roots are real). In...
Forum: GPU to 72 2022-05-22, 04:05
Replies: 5
Views: 929
Posted By alpertron
I've just imported the factoring limits report...

I've just imported the factoring limits report from 49.9M to 50M (the URL is https://www.mersenne.org/report_factoring_effort/?exp_lo=49900000&exp_hi=50000000&bits_lo=1&bits_hi=99&tftobits=72) to...
Forum: Factoring 2022-05-13, 17:12
Replies: 86
Views: 93,040
Posted By alpertron
The first site is limited to 70 digits and the...

The first site is limited to 70 digits and the Magma calculator failed when trying to factor a 70-digit composite number:

print Factorization(10^69+2607) returns: The computation exceeded the time...
Forum: Factoring 2022-05-13, 11:40
Replies: 86
Views: 93,040
Posted By alpertron
Notice that the third to the sixth links point to...

Notice that the third to the sixth links point to calculators that can only factor small numbers.
Forum: Factoring 2022-05-12, 21:16
Replies: 86
Views: 93,040
Posted By alpertron
I would need some moderator to change the first...

I would need some moderator to change the first post of this thread.

"Java ECM (java applet)" should be changed to "HTML5/Javascript/WebAssembly web application." (or "web application" if the...
Forum: GPU to 72 2022-04-27, 03:36
Replies: 5
Views: 929
Posted By alpertron
Thanks for the update. Notice that in the...

Thanks for the update.

Notice that in the range 49.x the Avg B2 values are wrong if the numbers in the Low P-1 column are correct.
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