M3000299 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	2⁷²	318.7461	69.4444%	32809464	1870139448	16.4029	10.4228%	335.1490	72.6292%	3.1847%
PrimeNet	2⁶⁰	0.0512	63.3333%	12000	220000	0.0029	2.5152%	0.0541	64.2556%	0.9222%
GPU72	2⁶⁴	1.1863	65.6250%	13000	200000	0.0029	1.3870%	1.1892	66.1018%	0.4768%
Difference	+8	+317.5598	+3.8194%	+32796464	+1869939448	+16.4000	+9.0358%	+333.9598	+6.5274%	+6.5274%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.002	-	-	0.103%
2009-05-02T12:24:00	Rob_Dee	twopc	35000	551250		-		-	-	0.008	-	-	0.790%
2010-04-16T13:20:00	Rob_Dee	twopc	100000	200000		-		-	-	0.013	-	-	0.700%
2010-04-17T15:33:00	Rob_Dee	twopc	200000	300000		-		-	-	0.025	-	-	0.903%
2010-04-18T19:25:00	Rob_Dee	twopc	300000	400000		-		-	-	0.038	-	-	1.055%
2010-04-19T15:09:00	Rob_Dee	twopc	400000	500000		-		-	-	0.050	-	-	1.181%
2010-04-20T14:47:00	Rob_Dee	twopc	500000	600000		-		-	-	0.062	-	-	1.289%
2010-04-21T13:44:00	Rob_Dee	twopc	600000	700000		-		-	-	0.075	-	-	1.385%
2010-04-22T15:10:00	Rob_Dee	twopc	700000	800000		-		-	-	0.087	-	-	1.471%
2010-04-23T15:16:00	Rob_Dee	twopc	800000	900000		-		-	-	0.099	-	-	1.549%
2010-04-24T20:12:00	Rob_Dee	twopc	900000	1000000		-		-	-	0.112	-	-	1.621%
2010-04-25T11:20:00	Rob_Dee	twopc	1000000	1100000		-		-	-	0.124	-	-	1.688%
2016-07-14T16:44:48	trebor		1650000	46200000	12	-		-	-	0.503	-	-	4.741%
2016-07-25T02:25:19	trebor		1650000	120000000	12	-		-	-	0.999	-	-	5.572%
2016-08-23T07:50:10	trebor		1650000	300000000	12	-		-	-	2.210	-	-	6.391%
2018-03-18T15:22:44	mikr	Color	15000000	500000000	12	-		-	-	5.112	-	-	8.355%
2018-09-08T03:58:09	oodaira	com5	32809464	1870139448	12	-		-	-	16.40	-	-	10.423%
2022-01-27T10:28:22	Jocelyn Larouche	Manual testing	1000000	119912100		-		-	-	0.923	-	-	5.235%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-31T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2009-01-23T04:58:00	Jayson King	atlas	2⁶⁰	2⁶¹		-	-	0.051	-	-
2010-08-17T11:39:00	Sid & Andy	Buzz	2⁶¹	2⁶²		-	-	0.102	-	-
2013-01-07T13:52:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.327	-	-
2013-12-04T00:20:00	kracker	Manual testing	2⁶³	2⁶⁴		-	-	0.654	-	-
2013-12-12T21:14:00	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	1.245	-	-
2015-05-30T14:36:00	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	2.491	-	-
2016-08-20T12:55:38	trebor	Manual testing	2⁶⁶	2⁶⁷		-	-	4.981	-	-
2016-08-20T12:55:38	trebor	Manual testing	2⁶⁷	2⁶⁸		-	-	9.96	-	-
2017-09-06T15:54:36	Yxinity	Manual testing	2⁶⁸	2⁶⁹		-	-	19.93	-	-
2017-09-06T15:54:36	Yxinity	Manual testing	2⁶⁹	2⁷⁰		-	-	39.85	-	-
2019-11-02T16:20:12	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	79.70	-	-
2019-11-02T16:20:12	mikr	Manual testing	2⁷¹	2⁷²		-	-	159.4	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	376.332 GHz-days
Estimated T-Level:	29.531

Digits	B1	Curves	Complete	FacMiss
20	11000	859 / 100	8.590	0.018%
25	50000	859 / 280	3.068	4.627%
30	250000	580 / 640	0.906	40.375%

New Calculation Method

Total ECM effort:	376.332 GHz-days
Estimated T-Level:	29.531

Digits	B1	Complete	FacMiss
20	11000	58.274	0.000%
25	50000	7.886	0.038%
30	250000	0.810	44.476%
35	1000000	0.065	93.675%
40	3000000	0.004	99.571%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	179	20.79
50000	12000000	100	18.75
250000	25000000	580	336.8

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-09T23:04:00	James Heinrich	Q6600	50000	5000000						3	0.348
2011-05-26T04:17:00	Pool Party	desk_2	50000	5000000						3	0.348
2013-08-28T13:24:00	Pool Party	St.P.p	50000	5000000						3	0.348
2014-08-02T16:09:00	C.D.B.	i7-2600K_4500MHz	50000	5000000						150	17.42
2016-11-02T04:37:29	trebor		50000	5000000						20	2.323
2016-12-08T13:42:08	Harry Lee	Manual testing	50000	12000000						100	18.75
2020-01-27T18:49:46	mikr	S058	250000	25000000						239	138.8
2020-10-10T16:50:49	mikr	Nitron	250000	25000000						300	174.2
2020-10-25T16:30:07	mikr	Nitron	250000	25000000						41	23.81

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	ANONYMOUS	v4_computers	D4358899C336762D	0.255

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 = 32809464, B2 = 1870139448 (P-1 stage 2)

B1 = 15000000, B2 = 500000000 (P-1 stage 2)

B1 = 32809464 (P-1 stage 1)

B1 = 1650000, B2 = 300000000 (P-1 stage 2)

B1 = 15000000 (P-1 stage 1)

B1 = 1650000, B2 = 120000000 (P-1 stage 2)

B1 = 1000000, B2 = 119912100 (P-1 stage 2)

B1 = 1650000, B2 = 46200000 (P-1 stage 2)

B1 = 1650000 (P-1 stage 1)

B1 = 1000000, B2 = 1100000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 900000, B2 = 1000000 (P-1 stage 2)

B1 = 900000 (P-1 stage 1)

B1 = 800000, B2 = 900000 (P-1 stage 2)

B1 = 800000 (P-1 stage 1)

B1 = 700000, B2 = 800000 (P-1 stage 2)

B1 = 700000 (P-1 stage 1)

B1 = 600000, B2 = 700000 (P-1 stage 2)

B1 = 600000 (P-1 stage 1)

B1 = 500000, B2 = 600000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 400000, B2 = 500000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

B1 = 300000, B2 = 400000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 200000, B2 = 300000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

B1 = 100000, B2 = 200000 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 35000, B2 = 551250 (P-1 stage 2)

B1 = 35000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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	<	146M	PrimeNet wavefront