fond of a factor? Urn yourself to become remains - Page 103

lycorn · 2016-06-11, 12:21

Indeed.
That one was a real teaser...
I've been squeezing M5879 hard, but to no avail. In a week or so B1=44000000 will be fully tried.

Jwb52z · 2016-06-18, 18:51

P-1 found a factor in stage #1, B1=660000.
UID: Jwb52z/Clay, M78647759 has a factor: 479779549412952847946157679 (P-1, B1=660000)

88.633 bits.

Gordon · 2016-06-18, 23:21

Quote:

Originally Posted by Jwb52z

P-1 found a factor in stage #1, B1=660000.
UID: Jwb52z/Clay, M78647759 has a factor: 479779549412952847946157679 (P-1, B1=660000)

88.633 bits.

Nice find, a lot of time saved for the project

bloodIce · 2016-06-26, 06:05

[Fri Jun 24 20:28:53 2016]
ECM found a factor in curve #203, stage #1
Sigma=61541048953985, B1=3000000, B2=300000000.
UID: BloodIce/Mjolnir4, M35591 has a factor: 137728575725419534448289970535976313 (ECM curve 203, B1=3000000, B2=300000000) ~117 bits

[Sat Jun 25 05:40:14 2016]
ECM found a factor in curve #576, stage #2
Sigma=7459404930796059, B1=3000000, B2=300000000.
UID: BloodIce/Mjolnir4, M35537 has a factor: 1532578067845635137525157423375548167 (ECM curve 576, B1=3000000, B2=300000000) ~120 bits

It seems to be very hard to find factors on sub-20K exponents, but in 30K range they are plenty of exponents which could be factored.

LaurV · 2016-06-26, 15:02

whoaa! nice! congrats!
Anyone does PRP tests for the two?

bloodIce · 2016-06-26, 21:52

I have checked the remaining cofactors of course (among the first thing I do after a factor in the lower range). Or do you mean PRP of the factors? I hope mersenne.org has a code to deal with the factors once they arrive.

bloodIce · 2016-07-02, 06:36

[Sat Jul 2 02:44:21 2016]
ECM found a factor in curve #1191, stage #2
Sigma=8753620462425117, B1=3000000, B2=300000000.
UID: BloodIce/Mjolnir4, M34537 has a factor: 442299498283919300728290218941317553933121 (ECM curve 1191, B1=3000000, B2=300000000) ~138 bits, the cofactor is not prime.

VictordeHolland · 2016-07-02, 11:56

Quote:

Originally Posted by bloodIce

I have checked the remaining cofactors of course (among the first thing I do after a factor in the lower range). Or do you mean PRP of the factors? I hope mersenne.org has a code to deal with the factors once they arrive.

PRP of the remaining cofactor. Mersenne.org verifies reported factors for primality (amoungst other things).
I believe James site also does PRP test on sub 1M exponents after new factors have been reported.

Gordon · 2016-07-03, 16:50

Quote:

Originally Posted by bloodIce

[Sat Jul 2 02:44:21 2016]
ECM found a factor in curve #1191, stage #2
Sigma=8753620462425117, B1=3000000, B2=300000000.
UID: BloodIce/Mjolnir4, M34537 has a factor: 442299498283919300728290218941317553933121 (ECM curve 1191, B1=3000000, B2=300000000) ~138 bits, the cofactor is not prime.

I did 400 curves on this just before Xmas, shame they were the wrong 400

bloodIce · 2016-07-03, 17:26

Quote:

Originally Posted by Gordon

I did 400 curves on this just before Xmas, shame they were the wrong 400

Remember M90679, we are even

. But, if you wish take any of "mine exponents" and find a factor, I will only be happy. Cheers and keep the factors coming.

Jwb52z · 2016-07-06, 04:38

Quote:

Originally Posted by Gordon

Nice find, a lot of time saved for the project

Thank you, and here's another I just found on my screen:

P-1 found a factor in stage #1, B1=660000.
UID: Jwb52z/Clay, M78866311 has a factor: 122507948640290214554639 (P-1, B1=660000)

76.697 bits.

2016-06-11, 12:21	#1123
lycorn Sep 2002 Oeiras, Portugal 2⁶·23 Posts	Indeed. That one was a real teaser... I've been squeezing M5879 hard, but to no avail. In a week or so B1=44000000 will be fully tried. Last fiddled with by lycorn on 2016-06-11 at 12:29

2016-06-26, 06:05	#1126
bloodIce Feb 2010 Sweden 173 Posts	two sub-40K down [Fri Jun 24 20:28:53 2016] ECM found a factor in curve #203, stage #1 Sigma=61541048953985, B1=3000000, B2=300000000. UID: BloodIce/Mjolnir4, M35591 has a factor: 137728575725419534448289970535976313 (ECM curve 203, B1=3000000, B2=300000000) ~117 bits [Sat Jun 25 05:40:14 2016] ECM found a factor in curve #576, stage #2 Sigma=7459404930796059, B1=3000000, B2=300000000. UID: BloodIce/Mjolnir4, M35537 has a factor: 1532578067845635137525157423375548167 (ECM curve 576, B1=3000000, B2=300000000) ~120 bits It seems to be very hard to find factors on sub-20K exponents, but in 30K range they are plenty of exponents which could be factored.

2016-06-26, 21:52	#1128
bloodIce Feb 2010 Sweden 173 Posts	I have checked the remaining cofactors of course (among the first thing I do after a factor in the lower range). Or do you mean PRP of the factors? I hope mersenne.org has a code to deal with the factors once they arrive. Last fiddled with by bloodIce on 2016-06-26 at 21:53

2016-07-02, 06:36	#1129
bloodIce Feb 2010 Sweden 10101101₂ Posts	34537 is down [Sat Jul 2 02:44:21 2016] ECM found a factor in curve #1191, stage #2 Sigma=8753620462425117, B1=3000000, B2=300000000. UID: BloodIce/Mjolnir4, M34537 has a factor: 442299498283919300728290218941317553933121 (ECM curve 1191, B1=3000000, B2=300000000) ~138 bits, the cofactor is not prime.

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2016-06-18, 18:51	#1124
Jwb52z Sep 2002 1436₈ Posts	P-1 found a factor in stage #1, B1=660000. UID: Jwb52z/Clay, M78647759 has a factor: 479779549412952847946157679 (P-1, B1=660000) 88.633 bits.

2016-06-26, 15:02	#1127
LaurV Romulan Interpreter Jun 2011 Thailand 7×1,373 Posts	whoaa! nice! congrats! Anyone does PRP tests for the two?