M2271301 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	52.5632	68.1159%	3000000	90000000	0.7379	7.0677%	53.3011	70.3694%	2.2535%
PrimeNet	2⁵⁸	0.0169	62.0690%	10000	190000	0.0019	2.9213%	0.0188	63.1770%	1.1081%
GPU72	2⁶²	0.2705	64.5161%	12000	190000	0.0021	1.7079%	0.2726	65.1222%	0.6060%
Difference	+7	+52.2927	+3.5998%	+2988000	+89810000	+0.7358	+5.3598%	+53.0285	+5.2472%	+5.2472%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2271301	98369906397268020731071	23	76.381	21654969199870035 3 × 5 × 41 × 35211332032309	2021-11-23	41	35211332032309	11,048	182,896	341,600

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-04-27T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.184%
2010-11-06T12:26:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.167%
2010-11-13T11:54:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.302%
2011-01-02T12:59:00	markr	tiny	100000	2100000		-		-	-	0.020	-	-	2.140%
2014-09-02T00:10:00	Jocelyn Larouche	Manual testing	128259	128259		-		-	-	0.012	-	-	0.812%
2016-04-02T11:41:50	Jocelyn Larouche	Manual testing	311040	311040		-		-	-	0.030	-	-	1.303%
2016-04-05T00:01:45	Jocelyn Larouche	Manual testing	373248	6718464	12	-		-	-	0.069	-	-	3.497%
2016-04-13T21:46:47	Jocelyn Larouche	Manual testing	373248	13534036	12	-		-	-	0.104	-	-	4.032%
2019-10-01T23:01:36	BigBrother	Winston	3000000	90000000	12	-		-	-	0.738	-	-	7.068%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:10	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.068	-	-
2009-01-16T04:42:00	Sturle Sunde	agrell.ifi	2⁶⁰	2⁶¹		-	-	0.068	-	-
2012-05-06T11:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.135	-	-
2013-01-23T08:24:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.432	-	-
2015-03-10T10:45:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.864	-	-
2015-03-10T10:45:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.645	-	-
2015-10-31T16:44:11	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.290	-	-
2017-01-16T00:47:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.580	-	-
2019-04-29T13:20:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.16	-	-
2021-06-17T12:15:50	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	26.32	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	14.970 GHz-days
Estimated T-Level:	23.071

Digits	B1	Curves	Complete	FacMiss
20	11000	172 / 100	1.720	17.752%
25	50000	172 / 280	0.614	54.043%

New Calculation Method

Total ECM effort:	14.970 GHz-days
Estimated T-Level:	23.071

Digits	B1	Complete	FacMiss
20	11000	5.587	0.375%
25	50000	0.505	60.347%
30	250000	0.031	96.936%
35	1000000	0.001	99.858%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		149	12.81
50000	5000000	98369906397268020731071	2	0.172
50000	5150000		7	0.609
50000	6750000		14	1.378

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-29T11:28:00	Matt	Dell	50000	5000000						3	0.258
2010-01-02T16:49:00	James Hintz	ryan	50000	5000000						3	0.258
2011-11-02T22:44:00	Bud	annan	50000	5000000						3	0.258
2013-09-01T16:16:00	hiems	Laptop	50000	5000000						3	0.258
2015-04-06T10:13:00	Bruce	desk16	50000	5000000						3	0.258
2016-02-07T02:40:00	dragon325	Falken-i7-920	50000	5000000						3	0.258
2016-04-04T15:31:42	Bruce	Desk6	50000	5000000						3	0.258
2016-07-25T15:11:13	Bruce	Desk6	50000	5000000						3	0.258
2016-12-13T14:15:55	Bruce	Desk6	50000	5000000						3	0.258
2017-07-17T21:28:13	Bruce	Desk6	50000	5000000						3	0.258
2017-12-27T07:00:59	Bruce	Desk6	50000	5000000						3	0.258
2018-06-16T22:13:52	Bruce	Desk6	50000	5000000						3	0.258
2019-07-07T22:33:09	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.258
2020-02-26T23:30:04	MarkS	desktop-i7	50000	5000000						3	0.258
2020-03-04T23:13:08	IanGlencross	glenx24	50000	5000000						3	0.258
2020-03-11T18:03:01	mnd9	office2	50000	5000000						3	0.258
2020-03-25T05:12:22	mnd9	25836b	50000	5000000						3	0.258
2020-03-31T08:41:39	Alvin Bunk	BADCAT	50000	5000000						3	0.258
2020-04-13T00:00:04	mnd9	fb	50000	5000000						3	0.258
2020-04-24T07:11:54	mnd9	25836b	50000	5000000						3	0.258
2020-05-01T05:03:15	EricP	Cannonfodder	50000	5000000						3	0.258
2020-05-13T05:45:09	nordi	sweet16	50000	5000000						3	0.258
2020-05-28T23:12:57	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.258
2020-06-16T22:56:53	mnd9	25836b	50000	5000000						3	0.258
2020-06-29T15:54:58	GAN	LMS-03	50000	5000000						3	0.258
2020-07-06T10:45:57	GAN	LMS-02	50000	5000000						3	0.258
2020-07-12T20:20:12	GAN	LMS-02	50000	5000000						3	0.258
2020-07-18T22:51:27	daveward2005	Dave2	50000	5000000						3	0.258
2020-07-25T00:45:10	GAN	LMS-02	50000	5000000						3	0.258
2020-08-01T23:56:42	GAN	KL-SCH04	50000	5000000						3	0.258
2020-08-09T06:49:23	J.R. Allen	lapacer	50000	5000000						3	0.258
2020-08-20T14:04:59	Brett Walker	brain	50000	5000000						7	0.602
2020-09-22T00:02:26	GAN	KA-HP	50000	5000000						7	0.602
2020-10-20T12:34:14	Albrecht Heeffer	Ryzen52	50000	5000000						7	0.602
2020-11-23T07:43:33	IanGlencross	glenx24	50000	5000000						7	0.602
2020-12-29T09:25:21	Zenzoma	AMD3970X	50000	5000000						7	0.602
2021-01-29T08:06:16	lycorn	colab_S_2	50000	6750000						7	0.689
2021-03-02T23:58:54	LordJulius	Babybox	50000	5000000						7	0.602
2021-04-07T15:10:04	Zenzoma	AMD3970X	50000	5000000						7	0.602
2021-05-29T03:55:27	kutens	canopus	50000	5150000						7	0.609
2021-07-08T16:42:16	kutens	arcturus	50000	6750000						7	0.689
2021-09-05T06:52:40	daveward2005	Davy	50000	5000000						7	0.602
2021-11-23T04:59:16	daveward2005	Dave2	50000	5000000	98369906397268020731071	76.381	2	2	962509868491440	2	0.172

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	6BD9378798E27642	0.149
2018-04-26T06:58:04	kkmrkkblmbrbk	old	6BD9378798E27642	0.149

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 = 3000000, B2 = 90000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 373248, B2 = 13534036 (P-1 stage 2)

B1 = 373248, B2 = 6718464 (P-1 stage 2)

B1 = 373248 (P-1 stage 1)

B1 = 311040 (P-1 stage 1)

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

B1 = 128259 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

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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