M583753 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	50.9015	70.1493%	10000000	400000000	0.6608	9.8658%	51.5623	73.0943%	2.9450%
PrimeNet	2⁴⁰	0.0000	50.0000%	5500	200000	0.0003	20.0542%	0.0003	60.0271%	10.0271%
GPU72	2⁴⁴	0.0000	54.5455%	10000	340000	0.0006	15.2401%	0.0006	61.4728%	6.9273%
Difference	+23	+50.9015	+15.6038%	+9990000	+399660000	+0.6602	-5.3742%	+51.5617	+11.6215%	+11.6215%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
583753	195662334094522744844991007	27	87.338	167590003044543449751 3² × 18621111449393716639	2020-08-27	9	18621111449393716639	84,966,053	2.145e+10	4.007e+10

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-12-22T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.185%
2002-01-22T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.401%
2002-03-10T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.001	-	-	0.731%
2002-05-05T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	1.196%
2002-07-06T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.807%
2002-09-22T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.557%
2003-05-26T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	3.435%
2011-07-01T01:39:00	Jocelyn Larouche	Manual testing	400579	400579		-		-	-	0.008	-	-	1.517%
2011-08-24T01:38:00	Jocelyn Larouche	Manual testing	667632	667632		-		-	-	0.014	-	-	1.903%
2012-03-05T12:57:00	Jocelyn Larouche	Manual testing	834540	834540		-		-	-	0.018	-	-	2.088%
2013-09-28T14:49:00	David Campeau	i5-2500k	1020000	31620000		-		-	-	0.057	-	-	5.507%
2015-04-18T11:03:00	Sid & Andy	Speck	5837530	175125900		-		-	-	0.318	-	-	8.468%
2019-04-29T10:04:24	alex	laptop	10000000	400000000	12	-		-	-	0.661	-	-	9.866%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-04-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.004	-	-
2022-03-07T08:27:59	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.004	-	-
2001-04-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.016	-	-
2002-01-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.033	-	-
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.066	-	-
2016-02-23T16:28:15	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.197	-	-
2016-02-23T16:28:15	Mark Rose	Manual testing	2⁶⁰	2⁶¹		-	-	0.263	-	-
2015-07-12T19:53:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.526	-	-
2015-09-04T07:57:00	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.682	-	-
2015-09-04T07:57:00	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	3.363	-	-
2017-11-13T01:29:48	BloodERazor	Manual testing	2⁶⁴	2⁶⁵		-	-	6.401	-	-
2018-06-04T01:37:40	chuenkit	Manual testing	2⁶⁵	2⁶⁶		-	-	12.80	-	-
2020-02-20T05:54:24	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	25.60	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.281 GHz-days
Estimated T-Level:	25.984

Digits	B1	Curves	Complete	FacMiss
20	11000	498 / 100	4.980	0.670%
25	50000	498 / 280	1.779	16.834%
30	250000	126 / 640	0.197	82.117%

New Calculation Method

Total ECM effort:	16.281 GHz-days
Estimated T-Level:	25.984

Digits	B1	Complete	FacMiss
20	11000	22.500	0.000%
25	50000	2.604	7.401%
30	250000	0.231	79.394%
35	1000000	0.017	98.344%
40	3000000	0.001	99.898%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		372	6.036
250000	25000000		65	5.273
250000	25000000	195662334094522744844991007	59	4.787
250000	35000000		2	0.185

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-21T14:06:00	Chad Davis	Bayes	50000	5000000						1	0.016
2007-10-05T10:04:00	Chad Davis	Bayes	50000	5000000						1	0.016
2008-01-16T10:59:00	Sturle Sunde	lara-test	50000	5000000						3	0.049
2008-09-01T15:15:00	Sturle Sunde	v23	50000	5000000						3	0.049
2008-11-07T06:56:00	Sturle Sunde	v23	50000	5000000						3	0.049
2009-01-19T03:03:00	linded	kctz73a	50000	5000000						3	0.049
2009-03-12T03:46:00	Sturle Sunde	v23	50000	5000000						3	0.049
2009-05-25T22:17:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.049
2009-07-07T19:17:00	Architects Cubed	m1_59	50000	5000000						3	0.049
2009-07-26T15:56:00	Architects Cubed	m1_72	50000	5000000						3	0.049
2009-09-07T15:57:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.049
2009-10-03T02:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2009-10-25T17:21:00	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.049
2009-11-11T23:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2009-12-03T03:29:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.049
2009-12-26T04:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-01-14T21:58:00	James Hintz	03_122109	50000	5000000						3	0.049
2010-01-30T00:01:00	James Hintz	09_122109	50000	5000000						3	0.049
2010-03-06T03:33:00	linded	KCPB8P0-NET214	50000	5000000						3	0.049
2010-03-24T22:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-04-10T03:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-05-16T16:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-06-04T01:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-07-10T04:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-07-11T01:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-07-24T21:26:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-08-21T00:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-08-25T17:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-09-07T18:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-09-24T04:33:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-10-11T06:58:00	josibo	Ziben	50000	5000000						3	0.049
2010-10-25T18:57:00	Beat Bucheli	I7	50000	5000000						3	0.049
2010-11-08T06:46:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-11-27T20:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-12-09T18:58:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2010-12-26T20:19:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-01-11T22:37:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.049
2011-01-24T05:05:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.049
2011-02-09T06:36:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.049
2011-02-23T02:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-03-07T04:28:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.049
2011-03-21T23:58:00	James Hintz	06_122109	50000	5000000						3	0.049
2011-04-07T20:55:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.049
2011-04-29T07:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-05-17T04:01:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.049
2011-05-31T20:21:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-06-19T19:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-07-13T23:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-08-11T23:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2011-09-27T19:31:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.049
2011-11-25T01:43:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.049
2012-01-16T22:42:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.049
2012-03-02T01:09:00	Sturle Sunde	TOR-ST-0041	50000	5000000						3	0.049
2012-05-02T23:10:00	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.049
2012-07-15T15:21:00	Lukasz Wrobel	v7	50000	5000000						3	0.049
2012-09-20T06:18:00	Andriy Makukha	home-i5	50000	5000000						3	0.049
2013-04-15T05:44:00	Lackó	Iroda_Laci_uj	50000	5000000						3	0.049
2013-11-27T12:46:00	Bruce	bfc-ws	50000	5000000						3	0.049
2014-03-28T08:28:00	Bruce	snowflake	50000	5000000						3	0.049
2014-03-30T18:44:00	Bruce	snowflake	50000	5000000						3	0.049
2014-04-02T12:36:00	Bruce	snowflake	50000	5000000						3	0.049
2015-05-26T01:23:00	Nacnud	Calculator	50000	5000000						3	0.049
2015-10-26T05:51:39	Nacnud	Calculator	50000	5000000						3	0.049
2016-01-26T00:20:38	tsandstr		50000	5000000						3	0.049
2016-03-18T10:49:16	TJAOI	Manual testing	50000	5000000						5	0.081
2016-05-13T20:40:30	Obsidian	Ace	50000	5000000						3	0.049
2016-05-23T06:08:39	bayanne	iMac	50000	5000000						3	0.049
2016-06-05T16:46:38	bayanne	iMac	50000	5000000						3	0.049
2016-06-11T08:26:24	Bruce J. Wilder	VIPER	50000	5000000						3	0.049
2016-06-23T01:13:51	MIS-ASUSG73s	ASUS_G73S	50000	5000000						3	0.049
2016-06-27T04:30:00	Bruce J. Wilder	VIPER	50000	5000000						3	0.049
2016-06-27T06:20:32	bayanne	iMac	50000	5000000						3	0.049
2016-07-06T03:53:38	bayanne	iMac	50000	5000000						3	0.049
2016-07-25T19:47:07	ANONYMOUS	C272CE75B	50000	5000000						3	0.049
2016-08-19T04:41:08	Obsidian	Ace	50000	5000000						3	0.049
2016-08-31T13:28:36	ANONYMOUS	C272CE75B	50000	5000000						3	0.049
2016-09-25T22:14:44	Bruce	test	50000	5000000						3	0.049
2016-10-10T00:36:45	Oussama Kiamouche	Home	50000	5000000						3	0.049
2016-10-17T23:42:48	Oussama Kiamouche	Home	50000	5000000						3	0.049
2016-10-24T04:36:23	ANONYMOUS	_isor_1530	50000	5000000						3	0.049
2016-10-24T11:48:24	westicles	Manual testing	50000	5000000						46	0.746
2016-10-25T19:26:19	Gnorfe	_1557_old	50000	5000000						3	0.049
2016-11-11T16:52:16	TJAOI	Manual testing	50000	5000000						85	1.379
2018-06-07T22:50:41	ramgeis	kivalzs	250000	25000000						3	0.243
2018-12-07T13:05:04	TJAOI	Manual testing	250000	25000000						26	2.109
2020-02-01T21:32:34	monsted	rootweiler	250000	25000000						3	0.243
2020-02-06T10:41:34	monsted	rootweiler	250000	25000000						3	0.243
2020-02-10T19:15:16	Hugemon	Beast_Gamer_Mk2	250000	25000000						3	0.243
2020-03-13T12:23:15	monsted	rootweiler	250000	25000000						3	0.243
2020-03-24T00:31:51	monsted	rootweiler	250000	25000000						3	0.243
2020-04-02T02:28:14	TSRPrime	TSRLoftus	250000	25000000						3	0.243
2020-04-15T09:10:34	monsted	rootweiler	250000	25000000						3	0.243
2020-04-26T15:20:30	monsted	rootweiler	250000	25000000						3	0.243
2020-05-08T12:29:40	monsted	rootweiler	250000	25000000						3	0.243
2020-05-22T16:43:53	monsted	rootweiler	250000	25000000						3	0.243
2020-06-23T05:10:45	Gordon Wood	hotrod	250000	25000000						3	0.243
2020-07-05T23:22:16	monsted	rootweiler	250000	25000000						3	0.243
2020-08-27T08:58:39	nordi	sweet16	250000	25000000	195662334094522744844991007	87.338	59	2	3427039141372274	59	4.787
2022-01-25T11:43:19	TJAOI	Manual testing	250000	35000000						2	0.185

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