M2807303 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	2⁶⁹	42.5272	68.1159%	5000000	200000000	1.7498	8.4830%	44.2770	70.8207%	2.7047%
PrimeNet	2⁵⁹	0.0274	62.7119%	12000	240000	0.0027	2.9285%	0.0301	63.8038%	1.0920%
GPU72	2⁶³	0.5685	65.0794%	15000	260000	0.0032	1.7906%	0.5717	65.7047%	0.6253%
Difference	+6	+41.9587	+3.0366%	+4985000	+199740000	+1.7466	+6.6924%	+43.7053	+5.1160%	+5.1160%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2807303	1838968833007255308304277369	28	90.571	327533015318840771428 2² × 17 × 137 × 35158116715204033	2021-11-27	137	35158116715204033	118,859,074	214,522,621	400,668,515

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.196%
2010-11-12T22:13:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.002	-	-	0.176%
2010-11-19T06:47:00	markr	tiny	100000	2100000		-		-	-	0.023	-	-	2.212%
2014-11-25T02:49:00	Jocelyn Larouche	Manual testing	122863	122863		-		-	-	0.014	-	-	0.823%
2015-01-29T22:02:00	Jocelyn Larouche	Manual testing	148663	148663		-		-	-	0.017	-	-	0.918%
2015-01-30T21:42:00	Jocelyn Larouche	Manual testing	163529	163529		-		-	-	0.018	-	-	0.968%
2015-01-31T14:55:00	Jocelyn Larouche	Manual testing	179881	179881		-		-	-	0.020	-	-	1.019%
2015-02-01T13:32:00	Jocelyn Larouche	Manual testing	197869	197869		-		-	-	0.022	-	-	1.073%
2015-02-06T22:00:00	Jocelyn Larouche	Manual testing	435310	435310		-		-	-	0.049	-	-	1.580%
2015-02-25T03:47:00	Jocelyn Larouche	Manual testing	478841	478841		-		-	-	0.054	-	-	1.649%
2015-03-02T13:10:00	Jocelyn Larouche	Manual testing	526725	526725		-		-	-	0.059	-	-	1.720%
2015-03-12T10:39:00	Jocelyn Larouche	Manual testing	579397	579397		-		-	-	0.065	-	-	1.793%
2015-03-15T18:55:00	Jocelyn Larouche	Manual testing	637336	637336		-		-	-	0.071	-	-	1.868%
2015-03-29T20:50:00	Jocelyn Larouche	Manual testing	771175	771175		-		-	-	0.086	-	-	2.023%
2015-04-08T16:59:00	Jocelyn Larouche	Manual testing	848292	848292		-		-	-	0.095	-	-	2.102%
2015-05-01T17:21:00	Jocelyn Larouche	Manual testing	1026433	1026433		-		-	-	0.115	-	-	2.268%
2015-05-22T00:29:00	Jocelyn Larouche	Manual testing	1129076	1129076		-		-	-	0.126	-	-	2.353%
2015-05-26T18:17:00	Jocelyn Larouche	Manual testing	1241983	1241983		-		-	-	0.139	-	-	2.440%
2015-06-08T13:43:00	Jocelyn Larouche	Manual testing	1366181	1366181		-		-	-	0.153	-	-	2.528%
2015-06-25T21:15:00	Jocelyn Larouche	Manual testing	1502799	1502799		-		-	-	0.168	-	-	2.619%
2015-07-07T18:13:00	Jocelyn Larouche	Manual testing	1653078	1653078		-		-	-	0.185	-	-	2.711%
2016-05-09T02:17:49	mognuts	Stanley	15000	135000		-		-	-	0.002	-	-	0.577%
2016-08-04T04:14:10	Jocelyn Larouche	Manual testing	1653078	3306156	6	-		-	-	0.195	-	-	3.409%
2018-04-29T00:33:48	Jocelyn Larouche	low 4M	2807303	5614606	6	-		-	-	0.332	-	-	4.026%
2019-11-13T13:54:42	masser	Manual testing	3000000	30000000	12	-		-	-	0.501	-	-	5.945%
2020-01-11T17:53:47	masser	Manual testing	5000000	200000000	12	-		-	-	1.750	-	-	8.483%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:22	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.055	-	-
2009-02-12T23:47:00	Sturle Sunde	fungo.ifi	2⁶⁰	2⁶¹		-	-	0.055	-	-
2012-02-25T13:35:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.109	-	-
2013-01-14T12:31:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.350	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.699	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.331	-	-
2016-02-10T11:15:46	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.662	-	-
2017-10-24T17:48:47	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.324	-	-
2018-12-30T14:49:39	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.65	-	-
2021-06-07T10:36:04	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	21.30	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.556 GHz-days
Estimated T-Level:	21.946

Digits	B1	Curves	Complete	FacMiss
20	11000	109 / 100	1.090	33.438%
25	50000	109 / 280	0.389	67.707%

New Calculation Method

Total ECM effort:	11.556 GHz-days
Estimated T-Level:	21.946

Digits	B1	Complete	FacMiss
20	11000	3.547	2.880%
25	50000	0.321	72.548%
30	250000	0.020	98.042%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		93	9.69
50000	5000000	1838968833007255308304277369	2	0.208
50000	6450000		7	0.821
50000	6650000		7	0.834

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-20T23:37:00	Never Odd Or Even	C_Quad	50000	5000000						3	0.313
2010-10-19T12:39:00	James Classen	towerofart	50000	5000000						3	0.313
2013-03-24T21:01:00	Donna Noble	PH2x6	50000	5000000						3	0.313
2015-03-24T20:06:00	Jason U	Server7	50000	5000000						3	0.313
2016-02-17T07:30:25	Sintax	cloud	50000	5000000						3	0.313
2016-06-02T21:14:55	Daniel Koszta		50000	5000000						3	0.313
2017-02-14T13:14:23	Bruce	eleven	50000	5000000						3	0.313
2017-08-29T20:20:35	Sebastian Hornbostel	V2	50000	5000000						3	0.313
2018-02-05T00:15:40	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.313
2018-12-14T10:10:53	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.313
2020-08-23T02:31:31	M. R. Mayer	nimbus	50000	5000000						7	0.730
2020-09-26T06:59:47	daveward2005	Dave2	50000	5000000						7	0.730
2020-10-23T03:05:33	nordi	sweet16	50000	5000000						7	0.730
2020-12-31T23:53:46	Zenzoma	AMD3970X	50000	5000000						7	0.730
2021-01-26T13:54:34	Zenzoma	AMD3970X	50000	5000000						7	0.730
2021-02-01T09:34:38	lycorn	colab_S	50000	6650000						7	0.834
2021-03-06T03:33:13	mnd9	50869	50000	5000000						7	0.730
2021-04-10T14:46:54	Zenzoma	AMD3970X	50000	5000000						7	0.730
2021-06-05T17:42:08	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.730
2021-07-13T23:06:52	kutens	canopus	50000	6450000						7	0.821
2021-09-08T02:11:53	mnd9	25836b	50000	5000000						7	0.730
2021-11-27T18:29:16	MarkS	laptop64	50000	5000000	1838968833007255308304277369	90.571	2	2	2538130440724219	2	0.208

date	userid	compid	res64	spent (GHz-days)
1999-05-02T00:00:00	ANONYMOUS	v4_computers	B6FFB5B272039FB2	0.217
2018-09-02T19:50:21	kkmrkkblmbrbk	old	B6FFB5B272039FB2	0.217

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 = 5000000, B2 = 200000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 3000000, B2 = 30000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 2807303, B2 = 5614606 (P-1 stage 2)

B1 = 2807303 (P-1 stage 1)

B1 = 1653078, B2 = 3306156 (P-1 stage 2)

B1 = 1653078 (P-1 stage 1)

B1 = 1502799 (P-1 stage 1)

B1 = 1366181 (P-1 stage 1)

B1 = 1241983 (P-1 stage 1)

B1 = 1129076 (P-1 stage 1)

B1 = 1026433 (P-1 stage 1)

B1 = 848292 (P-1 stage 1)

B1 = 771175 (P-1 stage 1)

B1 = 637336 (P-1 stage 1)

B1 = 579397 (P-1 stage 1)

B1 = 526725 (P-1 stage 1)

B1 = 478841 (P-1 stage 1)

B1 = 435310 (P-1 stage 1)

B1 = 100000, B2 = 2100000 (P-1 stage 2)

B1 = 197869 (P-1 stage 1)

B1 = 179881 (P-1 stage 1)

B1 = 163529 (P-1 stage 1)

B1 = 148663 (P-1 stage 1)

B1 = 122863 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 15000, B2 = 135000 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (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

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