M2 659 931 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	11.1709	67.1642%	360000	287380170	1.7916	7.9463%	12.9626	69.7734%
Target	2⁶³	0.6000	65.0794%	13000	220000	0.0027	1.6199%	0.6027	65.6451%
Difference	+4	+10.5709	+2.0848%	+347000	+287160170	+1.7889	+6.3263%	+12.3598	+4.1283%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2659931	19584031763278980280391	23	74.052	3681304470544345 5 × 19 × 312551 × 123981601	2023-01-29	312551	123981601	2,118.6	0.7896	1.4129
2659931	63579487108624291813313	23	75.751	11951341427394976 2⁵ × 16879 × 25919 × 853693	2011-01-24	25919	853693	3,110.9	0.0080	0.0097

exponent	prime factors	composite factor	digits	bits*
2659931	19584031763278980280391 63579487108624291813313	1245142695028284585245982633065170866566645383	46	149.803

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.296%
2009-06-24	harlee	P4_2600	30000	420000		-		-	-	0.006	-	-	1.392%
2011-01-24	James Heinrich	i7-920	250000	8000000			63579487108624291813313	23	75.751	0.075	0.411	0.151	4.301%
2023-01-29	USAFSS	USAFSACS	360000	287380170			19584031763278980280391	23	74.052	1.792	0.411	3.583	7.946%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-01-26	Sturle Sunde	goober.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-

ECM factoring results:

Total ECM effort:	0.620 GHz-days
Estimated T-Level:	1.154

Digits	B1	Complete	FacMiss
20	11000	0.231	79.392%
25	50000	0.021	97.887%
30	250000	0.001	99.865%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		6	0.620

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-07	ClknGo Software Corp	cngs1	50000	5000000						3	0.310
2010-07-14	unconnected	X3220--xp	50000	5000000						3	0.310

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Ken Kriesel		F8090C7CF3BF7253	0.205
1999-07-12	ANONYMOUS	v4_computers	F8090C7CF3BF7253	0.205

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-18

Oliver Kruse

GTX-0

63579487108624291813313

D3A9A5B875E101__

2017-12-03

ATH

ec2-1xf

63579487108624291813313

D3A9A5B875E101__

2023-01-31

LordJulius

WhiteBox

19584031763278980280391

63579487108624291813313

D3A9A5B875E10109

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 360000, B2 = 287380170 (P-1 stage 2)

B1 = 250000, B2 = 8000000 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

B1 = 250000 (P-1 stage 1)

B1 = 30000, B2 = 420000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront