M2270893 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	26.2473	67.6471%	3000000	90000000	0.7379	7.6748%	26.9852	70.1301%	2.4830%
PrimeNet	2⁵⁸	0.0169	62.0690%	10000	190000	0.0019	2.9212%	0.0188	63.1770%	1.1080%
GPU72	2⁶²	0.2705	64.5161%	12000	190000	0.0021	1.7079%	0.2726	65.1221%	0.6060%
Difference	+6	+25.9768	+3.1309%	+2988000	+89810000	+0.7358	+5.9670%	+26.7126	+5.0079%	+5.0079%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2270893	8363538070209996317482985156447	31	102.722	1841464584683205311188811 1303 × 4363 × 323917000487284199	2020-10-19	4363	323917000487284199	7.202e+10	1.683e+9	3.142e+9

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	-	-	0.228%
2010-11-06T12:26:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.200%
2010-11-13T11:53:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.357%
2011-01-02T16:01:00	markr	tiny	100000	2100000		-		-	-	0.020	-	-	2.413%
2014-09-02T00:10:00	Jocelyn Larouche	Manual testing	128264	128264		-		-	-	0.012	-	-	0.933%
2016-04-02T11:41:50	Jocelyn Larouche	Manual testing	311040	311040		-		-	-	0.030	-	-	1.477%
2016-04-05T00:01:45	Jocelyn Larouche	Manual testing	373248	6718464	12	-		-	-	0.069	-	-	3.875%
2016-04-13T21:46:47	Jocelyn Larouche	Manual testing	373248	13534834	12	-		-	-	0.104	-	-	4.458%
2019-10-01T04:11:47	BigBrother	Winston	3000000	90000000	12	-		-	-	0.738	-	-	7.675%

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	-	-
2009-01-15T23:08:00	Sturle Sunde	agrell.ifi	2⁶⁰	2⁶¹		-	-	0.068	-	-
2012-05-06T11:47:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.135	-	-
2013-12-06T02:46:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.432	-	-
2015-03-10T10:45:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.865	-	-
2015-03-10T10:45:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.645	-	-
2015-10-31T16:44:11	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.291	-	-
2017-01-16T00:47:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.581	-	-
2019-04-29T13:20:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.16	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.543 GHz-days
Estimated T-Level:	21.982

Digits	B1	Curves	Complete	FacMiss
20	11000	111 / 100	1.110	32.772%
25	50000	111 / 280	0.396	67.224%

New Calculation Method

Total ECM effort:	9.543 GHz-days
Estimated T-Level:	21.982

Digits	B1	Complete	FacMiss
20	11000	3.581	2.786%
25	50000	0.324	72.353%
30	250000	0.020	98.027%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		107	9.199
50000	5000000	8363538070209996317482985156447	4	0.344

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-28T22:11:00	Smurgs	Praca	50000	5000000						3	0.258
2010-01-03T14:09:00	SubPrime	abd0	50000	5000000						3	0.258
2011-11-03T15:11:00	S36049	Wolle5	50000	5000000						3	0.258
2013-08-27T15:10:00	Chang Chia-Tche	sekhmet	50000	5000000						3	0.258
2015-04-06T12:56:00	Bruce	desk16	50000	5000000						3	0.258
2016-02-07T09:11:28	Jason U	Server7	50000	5000000						3	0.258
2016-06-10T16:43:35	Daniel Koszta		50000	5000000						3	0.258
2016-07-25T09:56:55	Bruce	Desk6	50000	5000000						3	0.258
2016-12-13T08:11:48	Bruce	Desk6	50000	5000000						3	0.258
2017-07-17T06:35:33	Bruce	Desk6	50000	5000000						3	0.258
2017-12-27T02:04:21	Bruce	Desk6	50000	5000000						3	0.258
2018-06-16T14:07:40	Bruce	Desk6	50000	5000000						3	0.258
2019-07-05T21:56:40	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.258
2020-02-27T05:24:06	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.258
2020-03-04T23:17:11	daveward2005	Davy	50000	5000000						3	0.258
2020-03-16T06:59:39	mat10243x	K2	50000	5000000						3	0.258
2020-03-19T06:49:09	mnd9	office2	50000	5000000						3	0.258
2020-03-30T18:44:28	mnd9	eileen	50000	5000000						3	0.258
2020-04-14T16:23:13	mnd9	colab2	50000	5000000						3	0.258
2020-04-23T23:46:03	nordi	sweet16	50000	5000000						3	0.258
2020-05-01T13:40:30	mnd9	27016b	50000	5000000						3	0.258
2020-05-13T17:47:17	IanGlencross	glenx24	50000	5000000						3	0.258
2020-05-28T07:01:56	Keysarecool	HPLaptop	50000	5000000						3	0.258
2020-06-16T04:11:22	lycorn	colab_A	50000	5000000						3	0.258
2020-06-29T09:29:28	GAN	PG-MS	50000	5000000						3	0.258
2020-07-06T07:43:56	GAN	LMS-02	50000	5000000						3	0.258
2020-07-12T18:00:14	GAN	LMS-07	50000	5000000						3	0.258
2020-07-18T16:46:14	GAN	LMS-18	50000	5000000						3	0.258
2020-07-25T00:53:53	GAN	OSB-01	50000	5000000						3	0.258
2020-08-01T04:16:03	daveward2005	Davy	50000	5000000						3	0.258
2020-08-08T18:44:25	GAN	LMS-14	50000	5000000						3	0.258
2020-08-18T18:02:16	GAN	OSB-01	50000	5000000						7	0.602
2020-09-20T21:46:45	IanGlencross	glenx24	50000	5000000						7	0.602
2020-10-19T21:25:46	daveward2005	Dave2	50000	5000000	8363538070209996317482985156447	102.722	4	2	5087025566158294	4	0.344

date	userid	compid	res64	spent (GHz-days)
1999-05-16T00:00:00	ANONYMOUS	v4_computers	A6D8E40FB5962BA8	0.149
2018-04-26T03:54:38	kkmrkkblmbrbk	old	A6D8E40FB5962BA8	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 = 13534834 (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 = 128264 (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)

10²

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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