M1445057 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	2⁶⁷	20.5625	68.6567%	2500000	62500000	0.3194	7.4043%	20.8818	70.9775%	2.3207%
PrimeNet	2⁵⁶	0.0066	62.5000%	7000	120000	0.0007	2.9023%	0.0074	63.5883%	1.0883%
GPU72	2⁶⁰	0.1063	65.0000%	6000	90000	0.0006	1.3561%	0.1069	65.4746%	0.4746%
Difference	+7	+20.4562	+3.6567%	+2494000	+62410000	+0.3188	+6.0481%	+20.7750	+5.5028%	+5.5028%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1445057	853765811062021628323889839	27	89.464	295409043055748537367 3 × 98469681018582845789	2017-11-21	3	98469681018582845789	145,856,607	2.970e+11	5.547e+11

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-29T00:00:00	Team Prime Rib	v4_computers	15000	243750		-		-	-	0.002	-	-	0.838%
2010-06-18T13:02:00	Rob_Dee	twopc	100000	200000		-		-	-	0.006	-	-	1.215%
2010-06-19T12:42:00	Rob_Dee	twopc	200000	300000		-		-	-	0.011	-	-	1.518%
2010-06-20T19:32:00	Rob_Dee	twopc	200000	1000000		-		-	-	0.013	-	-	2.332%
2010-06-21T12:49:00	Rob_Dee	twopc	200000	2000000		-		-	-	0.017	-	-	2.818%
2010-06-22T12:51:00	Rob_Dee	twopc	200000	3000000		-		-	-	0.020	-	-	3.109%
2010-06-23T12:41:00	Rob_Dee	twopc	200000	4000000		-		-	-	0.023	-	-	3.319%
2010-06-24T12:47:00	Rob_Dee	twopc	200000	5000000		-		-	-	0.026	-	-	3.483%
2014-11-17T02:17:00	Jocelyn Larouche	Manual testing	244416	244416		-		-	-	0.014	-	-	1.386%
2015-01-27T21:58:00	Jocelyn Larouche	Manual testing	325316	325316		-		-	-	0.018	-	-	1.589%
2015-01-30T21:42:00	Jocelyn Larouche	Manual testing	357847	357847		-		-	-	0.020	-	-	1.660%
2015-02-13T18:00:00	Jocelyn Larouche	Manual testing	393631	393631		-		-	-	0.022	-	-	1.734%
2015-03-02T13:10:00	Jocelyn Larouche	Manual testing	476293	476293		-		-	-	0.026	-	-	1.886%
2015-03-03T20:46:00	Jocelyn Larouche	Manual testing	523922	523922		-		-	-	0.029	-	-	1.964%
2015-03-10T07:55:00	Jocelyn Larouche	Manual testing	576314	576314		-		-	-	0.032	-	-	2.045%
2015-04-08T16:59:00	Jocelyn Larouche	Manual testing	767072	767072		-		-	-	0.042	-	-	2.298%
2015-05-01T17:21:00	Jocelyn Larouche	Manual testing	928156	928156		-		-	-	0.051	-	-	2.476%
2015-05-07T16:19:00	Jocelyn Larouche	Manual testing	1020971	1020971		-		-	-	0.057	-	-	2.567%
2015-05-11T00:42:00	alpertron	Manual testing	2000000	60000000		-		-	-	0.286	-	-	7.226%
2016-08-20T18:31:44	Bruno Victal	5820K-factoring	2500000	62500000	12	-		-	-	0.319	-	-	7.404%
2016-08-27T10:53:51	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.319	-	-	7.404%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-10-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.013	-	-
2003-07-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.027	-	-
2016-02-23T16:28:32	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.080	-	-
2010-05-12T07:20:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.106	-	-
2016-02-23T16:28:32	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.213	-	-
2011-05-07T23:53:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	1.104	-	-
2016-02-23T16:28:32	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.679	-	-
2015-03-23T20:56:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.359	-	-
2015-03-23T20:56:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.586	-	-
2015-09-16T10:09:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	5.171	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.875 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	11.875 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		249	11.78
50000	5000000	853765811062021628323889839	2	0.095

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-01-08T01:45:00	Team_Bundu	bundu3	50000	5000000						1	0.047
2008-12-18T07:25:00	mdrg	MDRG02	50000	5000000						3	0.142
2009-09-21T15:25:00	SubPrime	abd0	50000	5000000						3	0.142
2010-04-11T16:59:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.142
2011-07-03T18:39:00	S36049	Wolle5	50000	5000000						3	0.142
2012-11-17T02:03:00	Donna Noble	q8200v2	50000	5000000						3	0.142
2013-08-13T10:40:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2014-02-16T00:56:00	Bruce	snowflake	50000	5000000						3	0.142
2014-10-21T22:17:00	LordJulius	Ranory	50000	5000000						3	0.142
2015-05-02T21:53:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2015-11-03T08:30:55	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-02-21T22:30:47	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-03-21T22:54:42	Matthew Millar	Dell_Precision_T7610	50000	5000000						3	0.142
2016-04-26T12:59:12	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2016-06-16T07:24:04	Bruce	DESK3	50000	5000000						3	0.142
2016-08-31T23:23:28	Bruce	DESK3	50000	5000000						3	0.142
2016-10-21T21:59:56	Bruce	DESK3	50000	5000000						3	0.142
2016-12-12T22:57:59	Bruce	DESK3	50000	5000000						3	0.142
2017-01-26T23:27:28	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2017-05-22T11:49:25	Chang Chia-Tche	exbpc13	50000	5000000						3	0.142
2017-11-21T11:39:23	Bruce	DESK3	50000	5000000	853765811062021628323889839	89.464	2	2		2	0.095
2019-03-01T14:45:47	TJAOI	Manual testing	50000	5000000						191	9.036

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	FBD2A2FB64E25BCA	0.055
2015-06-27T00:55:00	MadPoo	Manual testing	FBD2A2FB64E25BCA	0.055

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 = 2500000, B2 = 62500000 (P-1 stage 2)

B1 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 2000000 (P-1 stage 1)

B1 = 1020971 (P-1 stage 1)

B1 = 928156 (P-1 stage 1)

B1 = 767072 (P-1 stage 1)

B1 = 576314 (P-1 stage 1)

B1 = 523922 (P-1 stage 1)

B1 = 476293 (P-1 stage 1)

B1 = 200000, B2 = 5000000 (P-1 stage 2)

B1 = 200000, B2 = 4000000 (P-1 stage 2)

B1 = 393631 (P-1 stage 1)

B1 = 357847 (P-1 stage 1)

B1 = 200000, B2 = 3000000 (P-1 stage 2)

B1 = 325316 (P-1 stage 1)

B1 = 200000, B2 = 2000000 (P-1 stage 2)

B1 = 244416 (P-1 stage 1)

B1 = 200000, B2 = 1000000 (P-1 stage 2)

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 = 15000, B2 = 243750 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10⁰

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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