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-   -   Factoring database (https://www.mersenneforum.org/showthread.php?t=11119)

bur 2021-05-04 13:21

[QUOTE=Mini-Geek;363687]"Silvester/Euclid sequence"s should not when a prime term is reached (by the [URL="https://en.wikipedia.org/wiki/Sylvester's_sequence"]definitions[/URL] at [URL="https://en.wikipedia.org/wiki/Euclid%E2%80%93Mullin_sequence"]Wikipedia[/URL]), but they do. E.g. [url]http://factordb.com/sequences.php?se=28&aq=2&action=last20&fr=0&to=100[/url][/QUOTE]This is still the case, it's blocking the "real" Silvester sequence (a(0) = 2) which just stops at 2. Since factorization is not required to continue the sequence it should just proceed.

MisterBitcoin 2021-05-19 20:16

I started a worker on C86s. Most are done within a few secs.

Any one else working on small composites?

richs 2021-05-19 21:18

I have had one worker on C81+ for the past few months. I was staying afloat until some spammer overflowed the C70's+.

chris2be8 2021-05-20 16:05

I'm working on C70-C80s. And occasionally looking for easy numbers in the 80-90 digits range (easy usually means doable with SNFS).

I noticed a lot of numbers like 50##/206 (product of first 50 primes divided by some small number) and set a script going to factor them. That cleared out about 12,000 of them (mainly limited by how many updates per hour factordb would allow).

If you can think of a sensible reason for adding them to factordb in the first place I'd be interested to hear it.

Chris

MisterBitcoin 2021-05-20 18:47

[QUOTE=chris2be8;578776]I'm working on C70-C80s. And occasionally looking for easy numbers in the 80-90 digits range (easy usually means doable with SNFS).

I noticed a lot of numbers like 50##/206 (product of first 50 primes divided by some small number) and set a script going to factor them. That cleared out about 12,000 of them (mainly limited by how many updates per hour factordb would allow).

If you can think of a sensible reason for adding them to factordb in the first place I'd be interested to hear it.

Chris[/QUOTE]


After about 22 hours in C86:


[CODE]============================================================
Runtime (H:M:S).....................: 0022:34:45
Time waiting for composites (H:M)...: 0000:00
Composite range.....................: 86 - 86 digits

Report factors for composite #......: 3716
Factored C86 in.....................: 2.3 sec.

New factors added...........: 2 / 4825
Factors already known.......: 1 / 1832
Small factors...............: 0 / 11190

Only small factors..........: 240
Worker collisions...........: 6

Total page requests.........: 7432
============================================================
164.6 composites/hr
329.1 page requests/hr
418.5 page requests/hr (last 60 composite requests)
306.9 new factors added/hr (last 60 composite requests)[/CODE]

MattcAnderson 2021-06-16 17:57

I really enjoy [URL="factordb.com"]factordb.com[/URL]
It is very impressive and can handle 200 digit numbers.

my latest contribution is

66640677780239073397348544449935115508844251925178751602054631202961

<68 digits>
is

3138306167<10> · 2123460052...83<59>

So C68 = P10 * P59.
Used Maple computer algebra system ifactor() command.

Very interesting. Good mathematical trivia.

Uncwilly 2021-06-16 18:09

[QUOTE=MattcAnderson;581162]I really enjoy [URL="factordb.com"]factordb.com[/URL]
It is very impressive and can handle 200 digit numbers.

my latest contribution is

66640677780239073397348544449935115508844251925178751602054631202961

<68 digits>
is

3138306167<10> · 2123460052...83<59>

So C68 = P10 * P59.[/QUOTE]That is trivial and a waste of factordb

MattcAnderson 2021-06-18 21:12

Hi again all,
Factordb.com has a limit to largest input it would take.
I received the error.
Error: Limit of about 10.000.000 digits exceeded

I found an interesting result for a C1,000,000

[10^1,000,000] + 1

so that is (1- to the power of one million) + 1

factordb comes back with 12 prime factors and 2 composite factors.

Woo Hoo

Matt

Happy5214 2021-06-20 06:14

[QUOTE=MattcAnderson;581370]Hi again all,
Factordb.com has a limit to largest input it would take.
I received the error.
Error: Limit of about 10.000.000 digits exceeded

I found an interesting result for a C1,000,000

[10^1,000,000] + 1

so that is (1- to the power of one million) + 1

factordb comes back with 12 prime factors and 2 composite factors.

Woo Hoo

Matt[/QUOTE]
Check the date (found under "More information"):

[quote][B]Create time[/B]
Before November 4, 2018, 12:20 am
[/quote]

There was a major database reset around that time that reset all of the dates, so this entry is older, probably much, much older.

chris2be8 2021-06-20 15:41

@ MattcAnderson

If you want to do something useful try running the script in [url]https://mersenneforum.org/showthread.php?t=16849&page=43[/url] post 471 for a few days. There are a lot of smallish composites in factordb and it could do with some help factoring them.

Chris

Dr Sardonicus 2021-06-22 16:14

[QUOTE=chris2be8;581453]@ MattcAnderson

If you want to do something useful try running the script in [url]https://mersenneforum.org/showthread.php?t=16849&page=43[/url] post 471 for a few days. There are a lot of smallish composites in factordb and it could do with some help factoring them.

Chris[/QUOTE]Alas, [url=https://mersenneforum.org/showpost.php?p=581502&postcount=5]this post[/url] indicates he might be part of the problem...


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