M2645341 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	2⁶⁸	22.5320	67.6471%	2000000	50000000	0.5169	6.8567%	23.0489	69.8654%	2.2183%
PrimeNet	2⁵⁹	0.0290	62.7119%	11000	200000	0.0024	2.7035%	0.0314	63.7199%	1.0081%
GPU72	2⁶³	0.6033	65.0794%	13000	200000	0.0026	1.5742%	0.6059	65.6291%	0.5497%
Difference	+5	+21.9287	+2.5677%	+1987000	+49800000	+0.5143	+5.2825%	+22.4430	+4.2363%	+4.2363%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2645341	2157384986402345865114992481776863	34	110.733	407770678034012602744786491 3 × 7 × 467 × 5261 × 221477303 × 35684719711	2021-04-04	221477303	35684719711	5.857e+10	241.19	406.67

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-31T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.239%
2009-06-22T05:28:00	harlee	P4_2600	30000	420000		-		-	-	0.006	-	-	1.206%
2011-01-19T13:20:00	James Heinrich	i7-920	180000	4275000		-		-	-	0.045	-	-	3.228%
2016-12-28T03:20:11	Jocelyn Larouche	low 4M	171988	171988		-		-	-	0.019	-	-	1.126%
2016-12-29T21:56:28	Jocelyn Larouche	low 4M	206385	206385		-		-	-	0.023	-	-	1.238%
2017-05-08T05:55:48	Jocelyn Larouche	low 4M	360000	3600000	6	-		-	-	0.060	-	-	3.422%
2019-11-28T06:13:08	masser	Manual testing	2000000	50000000	12	-		-	-	0.517	-	-	6.857%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1997-11-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.015	-	-
1999-03-26T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.029	-	-
2016-02-23T16:29:18	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.029	-	-
2009-01-27T02:42:00	Sturle Sunde	ginjtje.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-
2012-06-07T04:49:00	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.116	-	-
2013-01-14T11:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.371	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.742	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.412	-	-
2016-01-21T23:03:49	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.825	-	-
2017-09-08T08:21:16	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.650	-	-
2019-02-25T14:14:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.30	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.396 GHz-days
Estimated T-Level:	4.550

Digits	B1	Curves	Complete	FacMiss
20	11000	91 / 100	0.910	40.068%
25	50000	91 / 280	0.325	72.211%

New Calculation Method

Total ECM effort:	9.396 GHz-days
Estimated T-Level:	4.550

Digits	B1	Complete	FacMiss
20	11000	2.935	5.311%
25	50000	0.265	76.697%
30	250000	0.016	98.380%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		90	9.292
50000	5000000	2157384986402345865114992481776863	1	0.103

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-01T03:23:00	Sturle Sunde	FLB-ST-0038	50000	5000000						3	0.310
2010-06-28T08:30:00	James Hintz	ryan	50000	5000000						3	0.310
2012-11-29T05:30:00	Donna Noble	PH2x6	50000	5000000						3	0.310
2014-11-02T07:45:00	arnaud	srv-630	50000	5000000						3	0.310
2016-01-18T16:25:11	Jason U	Server7	50000	5000000						3	0.310
2016-04-05T21:35:06	Jason U	Server7	50000	5000000						3	0.310
2016-09-15T17:46:16	ANONYMOUS	ford7619	50000	5000000						3	0.310
2017-06-30T08:58:53	Sebastian Hornbostel	V2	50000	5000000						3	0.310
2017-10-31T16:23:44	Sebastian Hornbostel	V2	50000	5000000						3	0.310
2018-05-07T03:56:40	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2019-05-02T02:07:56	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2020-07-14T02:43:00	daveward2005	Davy	50000	5000000						3	0.310
2020-07-20T03:00:40	IanGlencross	glenx24	50000	5000000						3	0.310
2020-07-26T10:22:54	GAN	LMS-12	50000	5000000						3	0.310
2020-08-02T18:51:11	GAN	PG-HP	50000	5000000						3	0.310
2020-08-10T13:04:52	GAN	LMS-18	50000	5000000						3	0.310
2020-08-25T08:00:19	M. R. Mayer	nimbus	50000	5000000						7	0.723
2020-09-28T19:43:56	lycorn	colab_ES	50000	5000000						7	0.723
2020-10-24T04:33:13	mnd9	75204	50000	5000000						7	0.723
2020-11-28T19:32:30	lycorn	colab_ES	50000	5000000						7	0.723
2021-01-02T07:13:55	mnd9	kitchen	50000	5000000						7	0.723
2021-03-03T02:36:00	daveward2005	Dave2	50000	5000000						7	0.723
2021-04-04T14:20:54	GAN	N-33	50000	5000000	2157384986402345865114992481776863	110.733	1	2	8233861797526283	1	0.103

date	userid	compid	res64	spent (GHz-days)
1997-11-29T00:00:00	ANONYMOUS	v4_computers	B7392ED153FD021F	0.204
1999-06-06T00:00:00	ANONYMOUS	v4_computers	B7392ED153FD021F	0.204
2018-07-14T04:12:52	kkmrkkblmbrbk	old	B7392ED153FD021F	0.204

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 = 2000000, B2 = 50000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 360000, B2 = 3600000 (P-1 stage 2)

B1 = 180000, B2 = 4275000 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

B1 = 206385 (P-1 stage 1)

B1 = 180000 (P-1 stage 1)

B1 = 171988 (P-1 stage 1)

B1 = 30000, B2 = 420000 (P-1 stage 2)

B1 = 30000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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