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R.D. Silverman 2020-06-15 07:27

[QUOTE=R.D. Silverman;541909]BTW, 2,1115+ is the same difficulty as 2,2230M. It should be added to Greg's queue.[/QUOTE]

Will 2,1115+ be added to the queue?

2,1165+ finished sieving and 3,667- has started. It was next in line in terms of
SNFS difficulty. (Greg has skipped 12,319- [quintic] for the time being)

The status page has not been updated recently. All of the numbers on it have been sieved,
so we do not know what is planned.

frmky 2020-06-19 01:49

I've been very busy with teaching a 5 week summer course from home so I just threw 3,667- in to keep the clients busy. I'll update everything in a couple of weeks or so.

Batalov 2020-06-19 02:18

Just for the convenience of new visitors, here is the S.S.W. wanted page with done numbers removed (I will periodically update)

[CODE]Here are the wanted lists issued with Page 136.
. . . . When what is done is removed

Ten Most Wanted:
1. 2,1207- C337
4. 10,323- C271

Twenty-Four More Wanted:
2,1213- C297
2,1091+ C307
2,1097+ C288
2,2126M C219 -- res'd
2,1076+ C238 -- res'd
3,667- C275 <<< in progress
3,668+ C277
5,452+ C246 -- res'd
5,454+ C285 -- res'd
6,409+ C311
7,379- C320
7,376+ C311 -- res'd
7,379+ C320
10,323+ C242
10,332+ C295
11,307- C289
11,307+ C276
12,293- C238 -- res'd

Smaller-but-Needed:
3,748+ C204[/CODE]

R.D. Silverman 2020-06-19 13:33

[QUOTE=Batalov;548475]Just for the convenience of new visitors, here is the S.S.W. wanted page with done numbers removed (I will periodically update)

[CODE]Here are the wanted lists issued with Page 136.
. . . . When what is done is removed

Ten Most Wanted:
1. 2,1207- C337
4. 10,323- C271

Twenty-Four More Wanted:
2,1213- C297
2,1091+ C307
2,1097+ C288
2,2126M C219 -- res'd
2,1076+ C238 -- res'd
3,667- C275 <<< in progress
3,668+ C277
5,452+ C246 -- res'd
5,454+ C285 -- res'd
6,409+ C311
7,379- C320
7,376+ C311 -- res'd
7,379+ C320
10,323+ C242
10,332+ C295
11,307- C289
11,307+ C276
12,293- C238 -- res'd
12,293+ C303 -- res'd

Smaller-but-Needed:
3,748+ C204[/CODE][/QUOTE]

Also, here is a list of 15 potential candidates in order of increasing SNFS SIZE.
I ignore quartics. [2,1115+ is a C269 quartic]


12,319- C313 (quintic)
3,668+ C319
6,409+ C319

5,457+ C320
11,307+ C320
11,307- C320

5,458+ C321
7,379+ C321
7,379- C321
3,784+ C321

12,298+ C322
3,674+ C322

10,323+ C323
10,323- C323
5,461+ C323

Let me know if I missed anything. Based upon how long 2,1084+ took to sieve (6 weeks) I guess that the NFS@Home limit is about 330 diigits.

R.D. Silverman 2020-06-19 13:43

[QUOTE=frmky;548472]I've been very busy with teaching a 5 week summer course from home so I just threw 3,667- in to keep the clients busy. I'll update everything in a couple of weeks or so.[/QUOTE]

It is nice to hear that Universities are still going!

Greg, do you know of anyone offering a first course (on-line) in string theory?
I'd love to take one. Or a course in quantum field theory? I did get to take
a course in relativistic quantum mech from Ed Purcell when I was an undergrad.
[45 years ago, however!] It was a small fun class; he was a superb teacher.

I'm not sure if I have the needed pre-reqs.
My differential geometry background is minimal, so I may need to take that first.
Basic tensor analysis is not a problem.

sweety439 2020-06-19 15:14

[QUOTE=R.D. Silverman;548036](Greg has skipped 12,319- [quintic] for the time being)
[/QUOTE]

He also skipped 10 323-

R.D. Silverman 2020-06-19 19:43

[QUOTE=sweety439;548502]He also skipped 10 323-[/QUOTE]

If you would bother to read or if you would bother to engage some brain cells
you would see that 10,323- is about 5 digits bigger than the smallest current SNFS
candidates.

Since Greg generally does them in order of size [look at the status page] you should realize
that 10,323- [b]HAS NOT BEEN SKIPPED[/b].

Idiot.

12,319- [b]WAS SKIPPED[/b] because quintics yield larger matrices making this number
"LA constrained".

BTW, what is your obsession with this particular number? Is it OCD??

xilman 2020-06-20 14:04

[QUOTE=R.D. Silverman;548496]It is nice to hear that Universities are still going!

Greg, do you know of anyone offering a first course (on-line) in string theory?
I'd love to take one. Or a course in quantum field theory? I did get to take
a course in relativistic quantum mech from Ed Purcell when I was an undergrad.
[45 years ago, however!] It was a small fun class; he was a superb teacher.

I'm not sure if I have the needed pre-reqs.
My differential geometry background is minimal, so I may need to take that first.
Basic tensor analysis is not a problem.[/QUOTE]I would like to learn more about string theory.

An excellent introduction to QFT can be found in [URL="https://www.abebooks.com/9780071543828/Quantum-Field-Theory-Demystified-McMahon-0071543821/plp"]quantum field theory DeMYSTiFieD[/URL] (the StuDlY CapS is how it appears on the front cover) by David McMahon. Not knowing your present level I couldn't say whether you would find it useful or too basic.

R.D. Silverman 2020-06-25 00:26

Record
 
[QUOTE=xilman;548594]

<snip>

.[/QUOTE]

12,293+ just set a new record for largest penultimate factor.

Batalov 2020-06-25 01:05

Very nice! Persistence pays off!

sweety439 2020-06-25 21:01

[QUOTE=R.D. Silverman;548527]If you would bother to read or if you would bother to engage some brain cells
you would see that 10,323- is about 5 digits bigger than the smallest current SNFS
candidates.

Since Greg generally does them in order of size [look at the status page] you should realize
that 10,323- [b]HAS NOT BEEN SKIPPED[/b].

Idiot.

12,319- [b]WAS SKIPPED[/b] because quintics yield larger matrices making this number
"LA constrained".

BTW, what is your obsession with this particular number? Is it OCD??[/QUOTE]

but 12^319 > 10^323, so 10^323-1 should be factored first

Also Phi_319(12) > Phi_323(10)


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