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Old 2016-10-23, 14:36   #221
Raman
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2,1061- computation was probably being wasted up with by using NFS@Home.
Had Joppe Bos et al. team taken it, they could have probably done with lots of savings of computational power with their used shared polynomial of Coppersmith SNFS - Factorization Factory variant!

NFS@Home could have done with 3,661- 7,379- or 7,379+ with similar difficulty levels instead with no prime factors known of non-primitive parts.
Any way, ultimately all Cunningham tables, including Fibonacci numbers, Lucas numbers, and then yes Homogeneous Cunningham numbers and then an other additive and then multiplicative twisted groups as like these types of things have to be done some day (when?) ever by using Coppersmith SNFS - Factorization Factory variant only ever! Right? Or not?
Not to include mixing up with GNFS candidates in to the these types of things. They are being separate candidates! Right? Or not?

2,1123+ will be an excellent choice, but that it is being a longer and then harder candidate! Right? Or not? By using how many times than 2,1061- 3,661- 7,379- 7,379+?
No non-primitive prime factors are being known as like right now at all for this very candidate besides of the trivial prime factor of 3! Right? Or not?
So for 2,1259+ 2,1433+ 2,1697+ 2,1777+ 2,1913+ 2,1993+ etc. and then so on!
End of thinking capacity!

For your information, when ever Joppe Bos et al. team reserved for 2,1127- for the first time, initially, they had accidentally reserved for 2,1123- before later on correcting it to 2,1127-. All ever!
After 2,959- 2,973- 2,1043- and then before 2,1183-. All ever!

Sequence and then series of SNFS sextics - Cunningham numbers 2- tables where by ever exponent is being a multiple of 7 - not completely factored prime factor parts.
Clearing away with sub optimal candidates for Coppersmith SNFS - Factorization Factory variant before focusing up on fewer optimal candidates!

Wondering up with what ever Joppe Bos et al. team doing up with right now!
They could be able to easily clean up with entire Cunningham tables, including Fibonacci numbers, Lucas numbers, and then yes Homogeneous Cunningham numbers and then an other additive and then multiplicative twisted groups as like these types of things have to be done some day (when?) ever by using Coppersmith SNFS - Factorization Factory variant only ever! Right? Or not? At their own will only, available up with their own resources and then their own computational cluster power and then budget funding!

New paste bin tag, $ tag, $$ tag, the latter that it is being different from LaTeX tag, not former, not TeX tag, not La tag - tag!

Different line, different smiley and then their own emoticon used up with emotion as like any some funding budget!
All commonly used up with important smiley emotion emoticon to be able to be - in to the used up with these types of things ever!
At least two points per para graph!

Any way, ultimately all smiley emoticon emotion that it is being removed away with - deleted up with ever!

Text editor file case - all ever!
Test text testing texting - all ever!

Last fiddled with by Raman on 2016-10-23 at 15:05
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Old 2018-03-01, 22:50   #222
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2,1232+ is done. Ryan performed the sieving and I did the postprocessing.
Code:
p110 factor: 35939315303631714477656355791486195918024248929618665427939817638380283293352168933810182743888510535160829249
p161 factor: 79875979208782552514140788781990858372743580030648918145213319147020629573298882128310704633251263481770396357182628957075686893524918081984968271878981279163009
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Old 2019-02-05, 20:31   #223
pinhodecarlos
 
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6484 2,1133+ c259 22230382665857711335378100344144359355900632409691710795442377261577. p192 NFS@Home snfs
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Old 2019-02-21, 18:14   #224
DukeBG
 
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Factorization of 2,1204+ has appeared in FactorDB.
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Old 2019-02-22, 05:21   #225
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Quote:
Originally Posted by DukeBG View Post
Factorization of 2,1204+ has appeared in FactorDB.
So has 2^1033+1
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Old 2019-02-22, 07:28   #226
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6489 2,1204+ c304 143458096872740846324792491674119024317255853251377548782956597898585042428782180238586900730976613828960167089. p214 NFS@Home snfs
6490 2,1033+ c255 2381328904710765274821468566321477960134327627074875346869097098713143166668320618736388741839374771. p155 NFS@Home snfs
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Old 2019-02-22, 21:18   #227
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NFS @ Home status webpages' discussion is moved there.
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Old 2019-06-21, 14:03   #228
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2^1301+1 has a 48-digit factor: 158538524646017900250810607995506380920082613411

The tables for 2+ (odd) end at 1300.

So there is low-hanging fruit just beyond the Cunningham range...
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Old 2020-03-23, 21:29   #229
pinhodecarlos
 
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2,1063+ done by NFS@Home.


https://pastebin.com/Mdj1cyB2
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Old 2020-04-12, 07:08   #230
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2,1072+ Done by NFS@Home
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