M1271503 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	46.8775	69.1176%	100000000	512133342630	1,286.6561	21.7076%	1,333.5336	75.8215%	6.7038%
Target	2⁶⁰	0.1208	65.0000%	5500	36000	0.0003	0.9302%	0.1211	65.3256%	0.3256%
Difference	+8	+46.7567	+4.1176%	+99994500	+512133306630	+1,286.6557	+20.7774%	+1,333.4124	+10.4959%	+6.3782%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1271503	87022126052579704234242674377369827017	38	126.033	34220181176363604424937524479836 2² × 359 × 607 × 1447 × 345517 × 349813 × 224473602889	2022-11-25	349813	224473602889	1.088e+11	562.07	1,049.8

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-24T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.193%
2013-10-01T08:02:00	David Campeau	i5-2500k	1195000	34655000		-		-	-	0.139	-	-	5.671%
2016-08-03T23:51:58	Bruno Victal	5820K-factoring	2500000	62500000	12	-		-	-	0.265	-	-	6.716%
2016-08-27T10:53:02	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.265	-	-	6.716%
2018-05-03T11:47:06	Jocelyn Larouche	low 4M	1271503	127150300	12	-		-	-	0.374	-	-	7.047%
2018-10-13T20:38:16	Jocelyn Larouche	low 4M	1271503	139865330	12	-		-	-	0.405	-	-	7.147%
2022-01-09T06:41:00	onlinegame	Manual testing	100000000	200000000		-		-	-	4.846	-	-	9.365%
2022-11-25T17:35:09	Sid & Andy	Rocky	100000000	512133342630			87022126052579704234242674377369827017	38	126.033	1,287	0.081	2,573	21.708%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.008	-	-
2001-11-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.015	-	-
2003-06-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.030	-	-
2003-06-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.030	-	-
2016-02-23T16:28:26	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.091	-	-
2009-02-15T05:25:00	Sturle Sunde	eames.ifi	2⁶⁰	2⁶¹		-	-	0.121	-	-
2012-09-14T05:54:00	Axelsson	Manual testing	2⁶¹	2⁶²		-	-	0.242	-	-
2012-10-18T21:47:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.772	-	-
2015-04-09T03:31:00	omylist	Manual testing	2⁶³	2⁶⁴		-	-	1.544	-	-
2015-04-10T17:49:00	monst	Manual testing	2⁶⁴	2⁶⁵		-	-	2.939	-	-
2015-09-24T15:27:45	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	5.877	-	-
2018-09-12T17:28:15	Yxinity	Manual testing	2⁶⁶	2⁶⁷		-	-	11.75	-	-
2020-03-11T18:17:13	Gordon Spence	Manual testing	2⁶⁷	2⁶⁸		-	-	23.51	-	-

ECM factoring results:

Total ECM effort:	19.378 GHz-days
Estimated T-Level:	25.674

Digits	B1	Complete	FacMiss
20	11000	14.315	0.000%
25	50000	1.608	20.026%
30	250000	0.135	87.391%
35	1000000	0.009	99.079%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		254	9.77
250000	25000000		50	9.61

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-11-26T14:23:00	Andi47	Core2Duo	50000	5000000						1	0.038
2007-11-27T10:23:00	James Heinrich	WHS	50000	5000000						1	0.038
2007-11-29T15:22:00	Andi47	Core2Duo	50000	5000000						1	0.038
2008-12-06T03:22:00	Sturle Sunde	v21	50000	5000000						3	0.115
2009-06-01T05:09:00	SubPrime	c2d0	50000	5000000						3	0.115
2009-09-19T23:19:00	Lupo	yorick	50000	5000000						3	0.115
2010-01-30T12:07:00	Lupo	yorick	50000	5000000						3	0.115
2010-10-26T02:47:00	Charles A. Morris	magnetar	50000	5000000						3	0.115
2011-08-16T16:05:00	unconnected	can-01	50000	5000000						3	0.115
2012-03-30T11:41:00	OS1	Tina	50000	5000000						3	0.115
2012-10-07T16:34:00	ANONYMOUS		50000	5000000						3	0.115
2013-07-18T02:17:00	zampel	dufay	50000	5000000						3	0.115
2014-01-18T18:23:00	jim f in mn	asus	50000	5000000						3	0.115
2014-03-08T18:06:00	Bruce	snowflake	50000	5000000						3	0.115
2014-08-24T12:35:00	OS1	Tina	50000	5000000						3	0.115
2015-03-11T18:26:00	arnaud	adm-11-107	50000	5000000						3	0.115
2015-06-03T17:18:00	arnaud	adm-11-107	50000	5000000						3	0.115
2015-10-03T11:22:57	Jason U	Dell-Win7	50000	5000000						3	0.115
2016-01-23T13:38:58	Jason U	Dell-Win7	50000	5000000						3	0.115
2016-03-18T09:47:52	Bruce	Desk9	50000	5000000						3	0.115
2016-04-23T20:21:59	gbvalor	veleold	50000	5000000						3	0.115
2016-05-21T11:20:09	Christian Keßler		50000	5000000						3	0.115
2016-09-16T07:07:26	OLAFE	pcjcchudson02	50000	5000000						3	0.115
2016-10-22T08:18:11	Bruce	Desk9	50000	5000000						3	0.115
2017-03-22T17:08:32	Mathematicae KUHMANN	GIMPS-02	50000	5000000						3	0.115
2017-08-01T23:02:39	OS1	Tina	50000	5000000						3	0.115
2017-12-26T06:11:58	OS1	Tina	50000	5000000						3	0.115
2018-02-16T14:42:51	TJAOI	Manual testing	50000	5000000						179	6.882
2021-02-12T10:29:35	TJAOI	Manual testing	250000	25000000						50	9.61

date	userid	compid	res64	spent (GHz-days)
2002-09-14T00:00:00	ANONYMOUS	v4_computers	F9C7E6938D9B220E	0.040
2016-06-01T18:50:28	MadPoo	Manual testing	F9C7E6938D9B220E	0.040

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 = 100000000, B2 = 512133342630 (P-1 stage 2)

B1 = 100000000, B2 = 200000000 (P-1 stage 2)

B1 = 100000000 (P-1 stage 1)

B1 = 1271503, B2 = 139865330 (P-1 stage 2)

B1 = 1271503, B2 = 127150300 (P-1 stage 2)

B1 = 2500000, B2 = 62500000 (P-1 stage 2)

B1 = 1195000, B2 = 34655000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 1271503 (P-1 stage 1)

B1 = 1195000 (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

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