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-   -   fond of a factor? Urn yourself to become remains (https://www.mersenneforum.org/showthread.php?t=13977)

axn 2018-08-05 03:42

[QUOTE=James Heinrich;493190]Probably not coincidentally, that B2 value is 2[sup]64[/sup]. How or why I don't know, but it's not a storage-regurgitation error, that's the B2 value in the submitted result line. The result line also contains a user/computer ID, and an assignment ID, I'm not sure why the result was submitted anonymously.[/QUOTE]

Anyway, they are the all time leader now. And all the production stats are f'ed up.

penlu 2018-08-15 07:09

The first p-1 factor found by my hardware, after 72 unsuccessful attempts.
[QUOTE]Factor: 1645517559786763250768607073 / (P-1, B1=760000, B2=760000, e=12, n=5184K CUDAPm1 v0.20)[/QUOTE]
90 bits!

S485122 2018-08-15 13:22

[QUOTE=penlu;493938]...
Factor: 1645517559786763250768607073 / (P-1, B1=760000, B2=760000, e=12, n=5184K CUDAPm1 v0.20)
...
[/QUOTE]B1=B2 and E=12 ? ? ? !
1645517559786763250768607073 - 1 = 2^5 × 3^3 × 19 × 31 × 269 × 319351 × 427351 × 88078153
The factor was found in stage 1 so the Brent Sumaya extension did not come into play. CUDAPm1 brags about a E=12 that did not come into play :-(

Jacob

penlu 2018-08-15 18:19

[URL="http://www.mersenne.ca/brent-suyama.php"]mersenne.ca isn't taken by these shenanigans[/URL] :) 88,078,153 isn't listed there

James Heinrich 2018-08-15 18:27

But also note that the P-1 effort isn't registered on mersenne.ca yet either (will appear sometime after midnight GMT during the nightly sync)
[url]http://www.mersenne.ca/exponent/88078153[/url]

alpertron 2018-08-19 13:17

[QUOTE=S485122;493951]B1=B2 and E=12 ? ? ? !
1645517559786763250768607073 - 1 = 2^5 × 3^3 × 19 × 31 × 269 × 319351 × 427351 × 88078153
The factor was found in stage 1 so the Brent Sumaya extension did not come into play. CUDAPm1 brags about a E=12 that did not come into play :-(

Jacob[/QUOTE]

All factors of a Mersenne number with exponent p (prime) can be expressed as 2*k*p+1.

In your case 88078153 equals p, so k = 2[SUP]4[/SUP] × 3[SUP]3[/SUP] × 19 × 31 × 269 × 319351 × 427351.

All prime factors of k are less than the bound B1, So, there is nothing special about this factorization using P-1.

penlu 2018-08-21 06:12

[QUOTE=alpertron;494208]So, there is nothing special about this factorization using P-1.[/QUOTE]

It's special to me because it's my first :'(

I found a factor 7235281275265153693689909724758049 of M91943, which is the first my hardware has found using ECM.

ET_ 2018-08-21 11:26

[QUOTE=penlu;494353]It's special to me because it's my first :'(

I found a factor 7235281275265153693689909724758049 of M91943, which is the first my hardware has found using ECM.[/QUOTE]

:tu:

lycorn 2018-08-22 15:27

Another one only fit for ECM:


Exponent: [B]183713[/B]
Factor: 159739685774531509548162186329
[B]97.012[/B] bits
k = 2[SUP]2[/SUP] × 13[SUP]2[/SUP] × 643126263022633956403

Jwb52z 2018-09-19 05:11

P-1 found a factor in stage #1, B1=715000.
UID: Jwb52z/Clay, M88737373 has a factor: 547048396504106740832234647 (P-1, B1=715000),

88.822 bits.

Jwb52z 2018-09-28 01:27

P-1 found a factor in stage #1, B1=715000.
UID: Jwb52z/Clay, M88801717 has a factor: 863225712976878887075783713 (P-1, B1=715000

89.480 bits.


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