fond of a factor? Urn yourself to become remains

[axn]

Originally Posted by James Heinrich

Probably not coincidentally, that B2 value is 2⁶⁴. 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.

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

[penlu]

The first p-1 factor found by my hardware, after 72 unsuccessful attempts.

Factor: 1645517559786763250768607073 / (P-1, B1=760000, B2=760000, e=12, n=5184K CUDAPm1 v0.20)

90 bits!

[S485122]

Originally Posted by penlu

...
Factor: 1645517559786763250768607073 / (P-1, B1=760000, B2=760000, e=12, n=5184K CUDAPm1 v0.20)
...

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]

mersenne.ca isn't taken by these shenanigans :) 88,078,153 isn't listed there

[James Heinrich]

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)
http://www.mersenne.ca/exponent/88078153

[alpertron]

Originally Posted by S485122

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

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 = 2⁴ × 3³ × 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]

Originally Posted by alpertron

So, there is nothing special about this factorization using P-1.

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_]

Originally Posted by penlu

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.

[lycorn]

Another one only fit for ECM:


Exponent: 183713
Factor: 159739685774531509548162186329
97.012 bits
k = 2² × 13² × 643126263022633956403

[Jwb52z]

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]

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.