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 Cybertronic 2021-05-26 09:19

smallest tuplets certifications

Hello folk!
Have anyone of you time to certificate these numbers with primo and then make an upload to factordb.com?

prime:
[FONT=Times New Roman, serif][SIZE=2]10^7999+35887[/SIZE][/FONT]
[FONT=Times New Roman, serif][SIZE=2]10^8999+3541[/SIZE][/FONT]

twins:
7000 digits : 10^6999+ 151203769+d, d=0,2
8000 digits : 10^7999+ 439617139+d, d=0,2
9000 digits : 10^8999+ 13215871+d, d=0,2
10000 digits : 10^9999+2421018649+d, d=0,2 found by Dirk Augustin (2010)

Let me know !

best wishes
Norman

 Cybertronic 2021-05-28 10:27

I take
10^9999+2421018649 and 10^9999+2421018651

 Gelly 2021-05-28 15:42

[QUOTE=Cybertronic;579112]Hello folk!
Have anyone of you time to certificate these numbers with primo and then make an upload to factordb.com?

prime:
[FONT=Times New Roman, serif][SIZE=2]10^7999+35887[/SIZE][/FONT]
[FONT=Times New Roman, serif][SIZE=2]10^8999+3541[/SIZE][/FONT]

twins:
7000 digits : 10^6999+ 151203769+d, d=0,2
8000 digits : 10^7999+ 439617139+d, d=0,2
9000 digits : 10^8999+ 13215871+d, d=0,2
10000 digits : 10^9999+2421018649+d, d=0,2 found by Dirk Augustin (2010)

Let me know !

best wishes
Norman[/QUOTE]

I've taken Halebardo off of my current reservation to take the rest of your primes, which, to clarify, are:

10^7999+35887
10^8999+3541

10^6999+151203769+d, d=0,2
10^7999+439617139+d, d=0,2
10^8999+13215871+d, d=0,2

Should be brief enough and will upload all to factordb.

 paulunderwood 2021-05-28 16:09

The first two should be "prime", according to Norman. Maybe the certificates are not easily available.

 Cybertronic 2021-05-28 17:11

1 Attachment(s)
[QUOTE=Gelly;579319]I've taken Halebardo off of my current reservation to take the rest of your primes, which, to clarify, are:

10^7999+35887
10^8999+3541

10^6999+151203769+d, d=0,2
10^7999+439617139+d, d=0,2
10^8999+13215871+d, d=0,2

Should be brief enough and will upload all to factordb.[/QUOTE]

Gelly - super,thanks !
Should I mention your real name in my "smallest prime k-tuplet"-pdf document or not ? Yes, what is your name ?

Here the actual status:

 Cybertronic 2021-05-28 17:16

[QUOTE=paulunderwood;579326]The first two should be "prime", according to Norman. Maybe the certificates are not easily available.[/QUOTE]

Which two,Paul?

 paulunderwood 2021-05-28 17:24

[QUOTE=Cybertronic;579335]Which two,Paul?[/QUOTE]

[quote]prime:
10^7999+35887
10^8999+3541
[/quote]

Maybe you meant "PRP" :smile:

 Cybertronic 2021-05-28 17:36

@Paul
Indeed :smile:

 Cybertronic 2021-05-29 07:01

@[URL="https://www.mersenneforum.org/member.php?u=15009"][COLOR=teal]sweety439[/COLOR][/URL]

You must know, double the number of digits you will test with primo, so the runningtime will be 16 times longer (or more).

jump from 31000 to 40000 digit , about (40000/31000)^4 = 3.
Example: You need 6 months to certify a 31000 number, than you need 12 months to fall down from 40000 to 31000 digits in Phase 1 (Primo)

(estimated)

137h for a 27000 digit numer is UNBELIEVABLE fast !

10 years ago,the old primo version 3.0.9 for windows and on a singlecore needed for 10000 digits (~limit) more than 10000h on a 3 GHz Phenom...40.000 digit ~ (double the digits was 22 times longer) you need 5 million hours or 600 years.

 Gelly 2021-06-01 01:29

[QUOTE=Cybertronic;579334]Gelly - super,thanks !
Should I mention your real name in my "smallest prime k-tuplet"-pdf document or not ? Yes, what is your name ?

Here the actual status:[/QUOTE]

Sure! All the certificates are uploaded to factorDB, and my name should be listed as the certifier for them.

 Cybertronic 2021-06-01 05:11

@Gelly

That was fast, thank you !
This week, the "smallest gigantic twin" also done.

best wishes

(BTW, I see the name)

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