M2152291 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	27.6937	67.6471%	2500000	125000000	0.8746	7.9177%	28.5683	70.2087%	2.5616%
PrimeNet	2⁵⁸	0.0178	62.0690%	9000	170000	0.0017	2.7343%	0.0195	63.1061%	1.0371%
GPU72	2⁶²	0.2854	64.5161%	10000	160000	0.0017	1.5181%	0.2872	65.0548%	0.5387%
Difference	+6	+27.4082	+3.1309%	+2490000	+124840000	+0.8729	+6.3996%	+28.2812	+5.1539%	+5.1539%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2152291	548138744161430708311	21	68.893	127338437079705 3 × 5 × 19 × 446801533613	2020-02-29	19	446801533613	36.982	2,320.8	4,334.6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-03-07T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.225%
2010-11-03T21:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.254%
2010-12-30T22:20:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.353%
2011-01-15T02:57:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.513%
2011-01-24T07:16:00	James Heinrich	i7-920	135000	2666250		-		-	-	0.026	-	-	2.682%
2016-05-02T01:23:02	Jocelyn Larouche	Manual testing	270000	9954562	12	-		-	-	0.076	-	-	3.983%
2017-10-04T07:45:19	Jocelyn Larouche	low 4M	540000	5400000	6	-		-	-	0.077	-	-	3.830%
2017-11-14T02:08:18	Jocelyn Larouche	low 4M	648000	10950018	12	-		-	-	0.115	-	-	4.546%
2017-12-11T20:38:41	mikr	MSI	2500000	125000000	12	-		-	-	0.875	-	-	7.918%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-29T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.018	-	-
2016-02-23T16:29:07	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.054	-	-
2009-01-04T10:39:00	Sturle Sunde	gehry.ifi	2⁶⁰	2⁶¹		-	-	0.071	-	-
2009-01-08T11:25:00	Sturle Sunde	klughardt.ifi	2⁶¹	2⁶²		-	-	0.143	-	-
2013-09-08T17:50:00	ramgeis	Manual testing	2⁶²	2⁶³		-	-	0.456	-	-
2015-03-22T08:28:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.912	-	-
2015-03-22T08:28:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.736	-	-
2015-12-30T18:01:33	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.472	-	-
2016-11-04T03:09:02	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.944	-	-
2019-05-20T13:24:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.89	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	4.883 GHz-days
Estimated T-Level:	3.250

Digits	B1	Curves	Complete	FacMiss
20	11000	65 / 100	0.650	52.034%
25	50000	55 / 280	0.196	82.137%

New Calculation Method

Total ECM effort:	4.883 GHz-days
Estimated T-Level:	3.250

Digits	B1	Complete	FacMiss
20	11000	1.776	16.924%
25	50000	0.160	85.183%
30	250000	0.010	99.017%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		10	0.188
50000	5000000		54	4.610
50000	5000000	548138744161430708311	1	0.085

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-12-18T15:38:00	mognuts	hallowes	50000	5000000						3	0.256
2009-11-27T03:28:00	SubPrime	abd0	50000	5000000						3	0.256
2011-08-15T15:02:00	S36049	Wolle5	50000	5000000						3	0.256
2013-04-25T21:26:00	Donna Noble	opt4820	50000	5000000						3	0.256
2013-09-08T00:10:00	Matthias Wurtinger	i5-750	11000	1100000						10	0.188
2015-07-14T01:26:00	guru	w6	50000	5000000						3	0.256
2016-02-20T10:09:28	Sintax	cloud	50000	5000000						3	0.256
2016-05-17T09:17:20	lettp	Home	50000	5000000						3	0.256
2016-08-26T12:31:11	Bruce	Desk6	50000	5000000						3	0.256
2017-01-25T13:26:39	Bruce	Desk6	50000	5000000						3	0.256
2017-08-23T21:03:16	Bruce	Desk6	50000	5000000						3	0.256
2018-01-09T07:34:20	Bruce	Desk6	50000	5000000						3	0.256
2018-06-22T01:34:22	Bruce	Desk6	50000	5000000						3	0.256
2019-06-25T20:09:31	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.256
2020-01-23T01:21:37	Keysarecool	HPLaptop	50000	5000000						3	0.256
2020-01-30T03:38:40	Keysarecool	Boat_Anchor	50000	5000000						3	0.256
2020-02-08T12:00:39	Keysarecool	i9	50000	5000000						3	0.256
2020-02-15T22:11:51	mnd9	eileen	50000	5000000						3	0.256
2020-02-23T17:27:06	mnd9	libproj	50000	5000000						3	0.256
2020-03-01T00:49:58	MarkS	desktop-i7	50000	5000000	548138744161430708311	68.893	1	2	8291593589421206	1	0.085

date	userid	compid	res64	spent (GHz-days)
1999-02-21T00:00:00	ANONYMOUS	v4_computers	45E4CD90C2AD7797	0.142
2018-04-09T09:09:43	kkmrkkblmbrbk	old	45E4CD90C2AD7797	0.142

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 = 2500000, B2 = 125000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 648000, B2 = 10950018 (P-1 stage 2)

B1 = 540000, B2 = 5400000 (P-1 stage 2)

B1 = 270000, B2 = 9954562 (P-1 stage 2)

B1 = 648000 (P-1 stage 1)

B1 = 540000 (P-1 stage 1)

B1 = 135000, B2 = 2666250 (P-1 stage 2)

B1 = 270000 (P-1 stage 1)

B1 = 135000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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