M3003323 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁰	79.5621	68.5714%	32791953	1869141321	16.3941	11.8762%	95.9562	80.4476%	17.1143%
PrimeNet	2⁶⁰	0.0511	63.3333%	12000	220000	0.0029	2.5156%	0.0540	65.8490%	2.5156%
GPU72	2⁶⁴	1.1851	65.6250%	13000	200000	0.0029	1.3872%	1.1880	67.0122%	1.3872%
Difference	+6	+78.3770	+2.9464%	+32778953	+1868941321	+16.3912	+10.4890%	+94.7682	+13.4354%	+13.4354%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
3003323	1053299004225765786180560701257146951	37	119.664	175355598486370894202947984825 5² × 31 × 283 × 21611 × 33037 × 15306061 × 73163183	15306061	73163183	2018-11-09	5.924e+10	2.2780	3.8443

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-23T00:00:00	Team Prime Rib	v4_computers	10000	10000		-		-	-	0.001	-	-	0.099%
2004-02-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.161%
2009-05-28T11:53:00	Rob_Dee	twopc	35000	560000		-		-	-	0.008	-	-	1.058%
2010-06-28T09:41:00	Rob_Dee	twopc	50000	100000		-		-	-	0.007	-	-	0.608%
2010-06-29T08:00:00	Rob_Dee	twopc	100000	150000		-		-	-	0.013	-	-	0.803%
2010-06-30T08:12:00	Rob_Dee	twopc	150000	200000		-		-	-	0.019	-	-	0.951%
2010-07-01T08:38:00	Rob_Dee	twopc	200000	250000		-		-	-	0.025	-	-	1.073%
2010-07-02T08:37:00	Rob_Dee	twopc	250000	300000		-		-	-	0.031	-	-	1.179%
2010-07-03T07:49:00	Rob_Dee	twopc	300000	350000		-		-	-	0.037	-	-	1.274%
2010-07-04T08:36:00	Rob_Dee	twopc	350000	400000		-		-	-	0.044	-	-	1.359%
2010-07-05T07:46:00	Rob_Dee	twopc	400000	450000		-		-	-	0.050	-	-	1.436%
2010-07-06T08:07:00	Rob_Dee	twopc	450000	500000		-		-	-	0.056	-	-	1.508%
2010-07-07T07:57:00	Rob_Dee	twopc	500000	550000		-		-	-	0.062	-	-	1.574%
2010-07-08T08:48:00	Rob_Dee	twopc	550000	600000		-		-	-	0.068	-	-	1.636%
2010-07-09T07:56:00	Rob_Dee	twopc	600000	650000		-		-	-	0.074	-	-	1.695%
2010-07-10T07:49:00	Rob_Dee	twopc	650000	700000		-		-	-	0.081	-	-	1.750%
2010-07-11T08:54:00	Rob_Dee	twopc	700000	750000		-		-	-	0.087	-	-	1.802%
2010-07-12T09:13:00	Rob_Dee	twopc	750000	800000		-		-	-	0.093	-	-	1.852%
2010-07-13T09:25:00	Rob_Dee	twopc	800000	850000		-		-	-	0.099	-	-	1.899%
2010-07-14T09:16:00	Rob_Dee	twopc	850000	900000		-		-	-	0.105	-	-	1.945%
2010-07-15T09:18:00	Rob_Dee	twopc	900000	950000		-		-	-	0.111	-	-	1.988%
2010-07-16T08:59:00	Rob_Dee	twopc	950000	1000000		-		-	-	0.118	-	-	2.029%
2010-07-17T09:51:00	Rob_Dee	twopc	1000000	1100000		-		-	-	0.124	-	-	2.108%
2016-07-22T02:19:12	trebor		1650000	46200000	12	-		-	-	0.503	-	-	5.666%
2016-08-08T02:09:03	trebor		1650000	120000000	12	-		-	-	0.999	-	-	6.625%
2016-09-13T22:54:18	trebor		1650000	300000000	12	-		-	-	2.210	-	-	7.564%
2018-11-09T06:14:36	oodaira	com5	32791953	1869141321	12		1053299004225765786180560701257146951	37	119.664	16.39	0.511	32.79	11.876%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁰		-	-	0.026	-	-
2009-01-24T21:31:00	Jayson King	atlas	2⁶⁰	2⁶¹		-	-	0.051	-	-
2010-08-22T14:19:00	Sid & Andy	Buzz	2⁶¹	2⁶²		-	-	0.102	-	-
2013-01-07T13:52:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.327	-	-
2013-12-13T02:00:00	kracker	Manual testing	2⁶³	2⁶⁴		-	-	0.654	-	-
2013-12-20T00:36:00	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	1.244	-	-
2015-05-30T14:36:00	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	2.488	-	-
2021-01-16T17:21:45	Jocelyn Larouche	Manual testing	2⁶⁵	2⁶⁶		-	-	2.488	-	-
2016-08-20T12:55:39	trebor	Manual testing	2⁶⁶	2⁶⁷		-	-	4.976	-	-
2016-08-20T12:55:39	trebor	Manual testing	2⁶⁷	2⁶⁸		-	-	9.95	-	-
2017-09-04T15:57:43	Yxinity	Manual testing	2⁶⁸	2⁶⁹		-	-	19.91	-	-
2017-09-04T15:57:43	Yxinity	Manual testing	2⁶⁹	2⁷⁰		-	-	39.81	-	-

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		32	3.717

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-03T23:36:00	James Hintz	13_060209	50000	5000000						3	0.348
2011-05-18T07:05:00	S00030	op9020-usff	50000	5000000						3	0.348
2013-08-28T15:33:00	Bruce	fx6840-21	50000	5000000						3	0.348
2016-01-16T17:02:14	Bruce	Desk10	50000	5000000						3	0.348
2016-12-07T11:44:27	trebor		50000	5000000						20	2.323

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	ANONYMOUS	v4_computers	F0EDF82AEF93AD5D	0.256
2012-08-30T10:18:00	kdgehman	i5-2500k	F0EDF82AEF93AD5D	0.256

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 = 32791953, B2 = 1869141321 (stage 2)

B1 = 32791953 (stage 1)

B1 = 1650000, B2 = 300000000 (stage 2)

B1 = 1650000, B2 = 120000000 (stage 2)

B1 = 1650000, B2 = 46200000 (stage 2)

B1 = 1650000 (stage 1)

B1 = 1000000, B2 = 1100000 (stage 2)

B1 = 1000000 (stage 1)

B1 = 950000, B2 = 1000000 (stage 2)

B1 = 950000 (stage 1)

B1 = 900000, B2 = 950000 (stage 2)

B1 = 900000 (stage 1)

B1 = 850000, B2 = 900000 (stage 2)

B1 = 850000 (stage 1)

B1 = 800000, B2 = 850000 (stage 2)

B1 = 800000 (stage 1)

B1 = 750000, B2 = 800000 (stage 2)

B1 = 750000 (stage 1)

B1 = 700000, B2 = 750000 (stage 2)

B1 = 700000 (stage 1)

B1 = 650000, B2 = 700000 (stage 2)

B1 = 650000 (stage 1)

B1 = 600000, B2 = 650000 (stage 2)

B1 = 600000 (stage 1)

B1 = 550000, B2 = 600000 (stage 2)

B1 = 550000 (stage 1)

B1 = 500000, B2 = 550000 (stage 2)

B1 = 500000 (stage 1)

B1 = 450000, B2 = 500000 (stage 2)

B1 = 450000 (stage 1)

B1 = 400000, B2 = 450000 (stage 2)

B1 = 400000 (stage 1)

B1 = 350000, B2 = 400000 (stage 2)

B1 = 350000 (stage 1)

B1 = 300000, B2 = 350000 (stage 2)

B1 = 300000 (stage 1)

B1 = 250000, B2 = 300000 (stage 2)

B1 = 250000 (stage 1)

B1 = 200000, B2 = 250000 (stage 2)

B1 = 200000 (stage 1)

B1 = 150000, B2 = 200000 (stage 2)

B1 = 150000 (stage 1)

B1 = 100000, B2 = 150000 (stage 2)

B1 = 100000 (stage 1)

B1 = 35000, B2 = 560000 (stage 2)

B1 = 50000, B2 = 100000 (stage 2)

B1 = 50000 (stage 1)

B1 = 35000 (stage 1)

B1 = 2048, B2 = 204800 (stage 2)

B1 = 10000 (stage 1)

B1 = 2048 (stage 1)

10²

10³

10⁴

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10⁷

10⁸

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10³

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10⁹

10¹⁰

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	<	123M	PrimeNet wavefront