Factor bragging

[KWSN_Dagger]

[Sat May 13 01:18:10 2006]
P-1 found a factor in stage #2, B1=70000, B2=822500.
24737*2^11050087+1 has a factor: 594262015630211281

p-1= 2 ^ 4 x 3 x 5 x 11 x 17093 x 54449 x 241861

2^4??

And of course it has to be a composite.

[SlicerAce]

[Fri Oct 26 22:49:45 2007]
P-1 found a factor in stage #2, B1=130000, B2=2200000.
55459*2^15009238+1 has a factor: 5155366181720738537

and the factor is prime

[Kman1293]

[Fri Dec 14 17:07:25 2007]
ECM found a factor in curve #2260, stage #1
Sigma=7131277753749641, B1=3000000, B2=300000000.
10223*2^1181+1 has a factor: 2869295942753555058435842630879466239475749080003

The factor is prime.

49 digits long.

[vjs]

Wow that is actually quite the find!!! Well done.

Did you check to see if the residual is prime or not? ( nope it's composite) I would say probably not prime but it would be interesting to know.

P-1 = 2 x 3 ^ 2 x 23 x 189661 x 39 361343 990616 327487 x 928 382719 429012 307749
P+1 = 2 ^ 2 x 40037 x 106 442681 x 4 343431 551583 x 38752 974121 352341 178651

Nice....

[Kman1293]

11878266738982198597668979 | 10223*2^39449+1
6650798327357434873224599831 | 10223*2^10757+1
650124655703350600814106133 | 10223*2^15437+1
9419400746144284880591 | 10223*2^41285+1
4380505951119731733855769913 | 10223*2^17477+1
13217355082313000541253 | 10223*2^42797+1

Theres a few more factors that my machine found overnight. They've all been verified and submitted.

On the 49 digit factor I haven't done any tests with the residual other than just testing to see if the factor was prime or not.