M1079753 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	2⁷¹	442.7664	70.4225%	2500000	62500000	0.2479	5.0968%	443.0143	71.9300%	1.5075%
PrimeNet	2⁵⁶	0.0089	62.5000%	4500	65000	0.0003	2.0196%	0.0092	63.2574%	0.7574%
GPU72	2⁶⁰	0.1422	65.0000%	4500	20000	0.0002	0.6526%	0.1425	65.2284%	0.2284%
Difference	+11	+442.6241	+5.4225%	+2495500	+62480000	+0.2477	+4.4442%	+442.8718	+6.7016%	+6.7016%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1079753	425988587104246364071257367	27	88.461	197262053036317733811 3 × 431 × 152561525936827327	2016-11-18	431	152561525936827327	93,379,302	357,218,575	667,184,820

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-03T00:00:00	Jocelyn Larouche	v4_computers	15000	172500		-		-	-	0.001	-	-	0.368%
2012-01-04T01:31:00	bcp19	Toshiba-740Q	200000	10000000		-		-	-	0.032	-	-	2.485%
2012-03-23T05:01:00	bcp19	Toshiba-740Q	200000	100000000		-		-	-	0.242	-	-	3.737%
2014-08-21T02:33:00	Jocelyn Larouche	Manual testing	259443	259443		-		-	-	0.011	-	-	0.808%
2014-11-06T23:05:00	Jocelyn Larouche	Manual testing	318886	318886		-		-	-	0.014	-	-	0.904%
2016-05-13T14:57:50	Jocelyn Larouche	Manual testing	976184	50000000	12	-		-	-	0.157	-	-	4.403%
2016-07-21T02:21:35	Bruno Victal	5820K-factoring	2500000	62500000	12	-		-	-	0.248	-	-	5.097%
2016-07-27T11:35:28	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.248	-	-	5.097%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.018	-	-
2016-02-23T16:28:20	Mark Rose	Manual testing	2⁵⁷	2⁶⁰		-	-	0.124	-	-
2009-02-15T06:47:00	Sturle Sunde	czerny.ifi	2⁶⁰	2⁶¹		-	-	0.142	-	-
2010-11-15T21:25:00	Michael C	Manual testing	2⁶¹	2⁶²		-	-	0.284	-	-
2012-10-18T21:47:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.909	-	-
2014-01-01T22:06:00	ramgeis	Manual testing	2⁶³	2⁶⁴		-	-	1.818	-	-
2014-01-02T17:19:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	3.460	-	-
2014-02-22T13:29:00	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	6.921	-	-
2014-02-22T13:29:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	13.84	-	-
2014-02-22T13:29:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	27.68	-	-
2014-02-22T13:29:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	55.37	-	-
2014-02-22T13:29:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	110.7	-	-
2014-04-01T16:48:00	Never Odd Or Even	Manual testing	2⁷⁰	2⁷¹		-	-	221.5	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.591 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	17.591 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.731	0.000%
25	50000	1.349	25.941%
30	250000	0.108	89.793%
35	1000000	0.007	99.295%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		278	9.76
50000	5000000	425988587104246364071257367	3	0.105
250000	25000000		44	7.724

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-27T22:47:00	James Heinrich	WHS	50000	5000000						1	0.035
2008-03-17T06:42:00	Scott Kurowski	HomeOffice	50000	5000000						3	0.105
2008-12-07T22:52:00	Sturle Sunde	v21	50000	5000000						3	0.105
2009-04-01T23:31:00	Sturle Sunde	v21	50000	5000000						3	0.105
2009-08-30T15:10:00	JimBa	FWserv	50000	5000000						3	0.105
2009-11-08T08:59:00	maxybo	CB418E216	50000	5000000						3	0.105
2010-04-07T03:13:00	Geoff Wing	GW1	50000	5000000						3	0.105
2010-12-08T23:46:00	maxybo	CB418E216	50000	5000000						3	0.105
2011-05-05T11:07:00	ANONYMOUS		50000	5000000						3	0.105
2012-01-21T19:55:00	Pool Party	sts	50000	5000000						3	0.105
2012-08-12T03:59:00	soldake		50000	5000000						3	0.105
2013-02-04T21:06:00	Pool Party	sts	50000	5000000						3	0.105
2013-06-10T03:37:00	Pool Party	sts	50000	5000000						3	0.105
2013-09-16T02:40:00	Pool Party	sts	50000	5000000						3	0.105
2014-03-09T08:56:00	Bruce	snowflake	50000	5000000						3	0.105
2014-07-25T09:37:00	OS1	Tina	50000	5000000						3	0.105
2015-03-01T19:43:00	arnaud	adm-11-107	50000	5000000						3	0.105
2015-04-24T01:23:00	OS1	Tina	50000	5000000						3	0.105
2015-07-26T19:01:00	OS1	Tina	50000	5000000						3	0.105
2015-10-25T03:12:15	Jason U	Dell-Win7	50000	5000000						3	0.105
2016-03-30T15:20:23	ANONYMOUS		50000	5000000						3	0.105
2016-04-11T04:50:13	ANONYMOUS		50000	5000000						3	0.105
2016-05-07T12:33:14	Jason U	Dell-Win7	50000	5000000						3	0.105
2016-05-15T09:38:06	Jason U	Dell-Win7	50000	5000000						3	0.105
2016-06-17T20:44:21	OLAFE	pcjcchudson02	50000	5000000						3	0.105
2016-08-08T12:48:19	OS1	Tina	50000	5000000						3	0.105
2016-11-19T01:00:13	Bruce	Desk9	50000	5000000	425988587104246364071257367	88.461	3	2		3	0.105
2017-06-30T19:47:49	TJAOI	Manual testing	50000	5000000						61	2.142
2018-01-05T12:40:09	TJAOI	Manual testing	50000	5000000						141	4.951
2020-08-07T11:04:23	TJAOI	Manual testing	250000	25000000						44	7.724

date	userid	compid	res64	spent (GHz-days)
2015-11-11T15:34:18	MadPoo	Manual testing	84225ECA93B3970B	0.032

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 = 200000, B2 = 100000000 (P-1 stage 2)

B1 = 976184, B2 = 50000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 976184 (P-1 stage 1)

B1 = 200000, B2 = 10000000 (P-1 stage 2)

B1 = 318886 (P-1 stage 1)

B1 = 259443 (P-1 stage 1)

B1 = 200000 (P-1 stage 1)

B1 = 15000, B2 = 172500 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

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