M3007621 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	79.4484	68.5714%	32767111	1867725327	16.3817	11.8760%	95.8301	72.3039%	3.7325%
PrimeNet	2⁶⁰	0.0511	63.3333%	12000	220000	0.0029	2.5163%	0.0539	64.2560%	0.9226%
GPU72	2⁶⁴	1.1834	65.6250%	13000	200000	0.0029	1.3876%	1.1863	66.1020%	0.4770%
Difference	+6	+78.2649	+2.9464%	+32754111	+1867525327	+16.3788	+10.4884%	+94.6438	+6.2019%	+6.2019%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3007621	2354198261457820860833	22	70.996	391372161162896 2⁴ × 24460760072681	2021-01-13	16	24460760072681	103.13	164,469	307,182

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%
2009-08-03T04:25:00	harlee	P4_2600	35000	516250		-		-	-	0.008	-	-	1.033%
2010-09-16T09:31:00	Rob_Dee	twopc	50000	100000		-		-	-	0.007	-	-	0.608%
2010-09-17T11:32:00	Rob_Dee	twopc	100000	150000		-		-	-	0.013	-	-	0.803%
2010-09-18T09:37:00	Rob_Dee	twopc	150000	200000		-		-	-	0.019	-	-	0.951%
2010-09-19T10:06:00	Rob_Dee	twopc	200000	250000		-		-	-	0.025	-	-	1.074%
2010-09-20T10:47:00	Rob_Dee	twopc	250000	300000		-		-	-	0.031	-	-	1.180%
2010-09-21T10:58:00	Rob_Dee	twopc	300000	350000		-		-	-	0.037	-	-	1.274%
2010-09-22T12:17:00	Rob_Dee	twopc	350000	400000		-		-	-	0.044	-	-	1.359%
2010-09-23T10:45:00	Rob_Dee	twopc	400000	450000		-		-	-	0.050	-	-	1.437%
2010-09-24T11:27:00	Rob_Dee	twopc	450000	500000		-		-	-	0.056	-	-	1.508%
2010-09-25T12:52:00	Rob_Dee	twopc	500000	550000		-		-	-	0.062	-	-	1.575%
2010-09-26T12:04:00	Rob_Dee	twopc	550000	600000		-		-	-	0.068	-	-	1.637%
2010-09-27T10:46:00	Rob_Dee	twopc	600000	650000		-		-	-	0.074	-	-	1.695%
2010-09-28T11:22:00	Rob_Dee	twopc	650000	700000		-		-	-	0.081	-	-	1.750%
2010-09-29T11:13:00	Rob_Dee	twopc	700000	750000		-		-	-	0.087	-	-	1.803%
2010-09-30T10:54:00	Rob_Dee	twopc	750000	800000		-		-	-	0.093	-	-	1.852%
2010-10-01T10:52:00	Rob_Dee	twopc	800000	850000		-		-	-	0.099	-	-	1.900%
2010-10-02T10:38:00	Rob_Dee	twopc	850000	900000		-		-	-	0.105	-	-	1.945%
2010-10-03T11:13:00	Rob_Dee	twopc	900000	950000		-		-	-	0.111	-	-	1.988%
2010-10-04T10:48:00	Rob_Dee	twopc	950000	1000000		-		-	-	0.118	-	-	2.030%
2010-10-05T11:08:00	Rob_Dee	twopc	1000000	1100000		-		-	-	0.124	-	-	2.109%
2016-07-31T11:50:21	trebor		1650000	46200000	12	-		-	-	0.503	-	-	5.666%
2016-08-17T10:11:41	trebor		1650000	120000000	12	-		-	-	0.999	-	-	6.626%
2016-10-13T21:50:54	trebor		1650000	300000000	12	-		-	-	2.210	-	-	7.565%
2019-01-28T05:28:34	oodaira	com5	32767111	1867725327	12	-		-	-	16.38	-	-	11.876%
2021-01-14T13:16:36	Jocelyn Larouche	Manual testing	300762	300762		-		-	-	0.037	-	-	1.183%
2021-01-14T22:55:42	Jocelyn Larouche	Manual testing	300762	3007621	6	-		-	-	0.055	-	-	2.630%
2021-12-18T19:15:21	Jocelyn Larouche	Manual testing	3007621	108985800		-		-	-	1.084	-	-	6.905%
2021-12-22T00:12:38	Jocelyn Larouche	Manual testing	3007621	637421400		-		-	-	4.637	-	-	8.876%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-07-07T00:00:00	Ignacio_Larrosa	v4_computers	2¹	2⁵⁹		-	-	0.026	-	-
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.051	-	-
2009-01-24T16:30:00	Jayson King	atlas	2⁶⁰	2⁶¹		-	-	0.051	-	-
2010-08-31T13:03:00	Sid & Andy	Buzz	2⁶¹	2⁶²		-	-	0.102	-	-
2013-01-07T13:52:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.326	-	-
2014-01-02T16:25:00	kracker	Manual testing	2⁶³	2⁶⁴		-	-	0.653	-	-
2014-01-03T23:52:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.242	-	-
2015-05-30T14:36:00	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	2.485	-	-
2016-08-20T12:55:42	trebor	Manual testing	2⁶⁶	2⁶⁷		-	-	4.969	-	-
2016-08-20T12:55:42	trebor	Manual testing	2⁶⁷	2⁶⁸		-	-	9.94	-	-
2017-08-16T16:06:44	Yxinity	Manual testing	2⁶⁸	2⁶⁹		-	-	19.88	-	-
2017-08-24T15:54:40	Yxinity	Manual testing	2⁶⁹	2⁷⁰		-	-	39.75	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.112 GHz-days
Estimated T-Level:	2.200

Digits	B1	Curves	Complete	FacMiss
20	11000	44 / 100	0.440	64.261%
25	50000	44 / 280	0.157	85.434%

New Calculation Method

Total ECM effort:	5.112 GHz-days
Estimated T-Level:	2.200

Digits	B1	Complete	FacMiss
20	11000	1.692	18.409%
25	50000	0.157	85.506%
30	250000	0.010	99.017%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		39	4.531
50000	5000000	2354198261457820860833	5	0.581

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-05T14:41:00	James Hintz	4115	50000	5000000						3	0.349
2011-05-22T01:37:00	S00030	op9020-usff	50000	5000000						3	0.349
2013-09-05T21:25:00	arnaud	Chamot18	50000	5000000						3	0.349
2016-01-18T00:37:26	Bruce	Desk7	50000	5000000						3	0.349
2016-12-06T04:02:24	trebor		50000	5000000						20	2.324
2020-12-12T03:46:26	RIHATEC	i7-3770K	50000	5000000						7	0.813
2021-01-13T03:55:59	Zenzoma	AMD3970X	50000	5000000	2354198261457820860833	70.996	5	2	6228252596390830	5	0.581

date	userid	compid	res64	spent (GHz-days)
1999-06-15T00:00:00	ANONYMOUS	v4_computers	5ACDA885C0BE4A04	0.256
2001-07-07T00:00:00	Ignacio_Larrosa	v4_computers	5ACDA885C0BE4A04	0.256
2012-09-03T09:41:00	kdgehman	i5-2500k	5ACDA885C0BE4A04	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 = 32767111, B2 = 1867725327 (P-1 stage 2)

B1 = 3007621, B2 = 637421400 (P-1 stage 2)

B1 = 32767111 (P-1 stage 1)

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

B1 = 3007621, B2 = 108985800 (P-1 stage 2)

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

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

B1 = 3007621 (P-1 stage 1)

B1 = 1650000 (P-1 stage 1)

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

B1 = 1000000 (P-1 stage 1)

B1 = 950000, B2 = 1000000 (P-1 stage 2)

B1 = 950000 (P-1 stage 1)

B1 = 900000, B2 = 950000 (P-1 stage 2)

B1 = 900000 (P-1 stage 1)

B1 = 850000, B2 = 900000 (P-1 stage 2)

B1 = 850000 (P-1 stage 1)

B1 = 800000, B2 = 850000 (P-1 stage 2)

B1 = 800000 (P-1 stage 1)

B1 = 750000, B2 = 800000 (P-1 stage 2)

B1 = 750000 (P-1 stage 1)

B1 = 700000, B2 = 750000 (P-1 stage 2)

B1 = 700000 (P-1 stage 1)

B1 = 650000, B2 = 700000 (P-1 stage 2)

B1 = 650000 (P-1 stage 1)

B1 = 600000, B2 = 650000 (P-1 stage 2)

B1 = 600000 (P-1 stage 1)

B1 = 550000, B2 = 600000 (P-1 stage 2)

B1 = 550000 (P-1 stage 1)

B1 = 500000, B2 = 550000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 450000, B2 = 500000 (P-1 stage 2)

B1 = 450000 (P-1 stage 1)

B1 = 300762, B2 = 3007621 (P-1 stage 2)

B1 = 400000, B2 = 450000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

B1 = 350000, B2 = 400000 (P-1 stage 2)

B1 = 350000 (P-1 stage 1)

B1 = 300000, B2 = 350000 (P-1 stage 2)

B1 = 300762 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 250000, B2 = 300000 (P-1 stage 2)

B1 = 250000 (P-1 stage 1)

B1 = 200000, B2 = 250000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

B1 = 150000, B2 = 200000 (P-1 stage 2)

B1 = 150000 (P-1 stage 1)

B1 = 100000, B2 = 150000 (P-1 stage 2)

B1 = 100000 (P-1 stage 1)

B1 = 35000, B2 = 516250 (P-1 stage 2)

B1 = 50000, B2 = 100000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

B1 = 35000 (P-1 stage 1)

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

B1 = 10000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

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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