M1082533 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	2⁷¹	441.6293	70.4225%	2500000	62500000	0.2479	5.0982%	441.8772	71.9304%	1.5079%
PrimeNet	2⁵⁶	0.0089	62.5000%	4500	65000	0.0003	2.0208%	0.0092	63.2578%	0.7578%
GPU72	2⁶⁰	0.1419	65.0000%	4500	20000	0.0002	0.6530%	0.1421	65.2285%	0.2285%
Difference	+11	+441.4874	+5.4225%	+2495500	+62480000	+0.2477	+4.4452%	+441.7351	+6.7019%	+6.7019%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1082533	1623069162917486699809	22	70.459	749662672139088 2⁴ × 3 × 15617972336231	2016-06-16	16	15617972336231	254.58	36,569	68,301

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-04T19:21:00	bcp19	Toshiba-740Q	200000	10000000		-		-	-	0.032	-	-	2.486%
2012-02-08T00:13:00	bcp19	Toshiba-740Q	200000	100000000		-		-	-	0.242	-	-	3.738%
2014-08-21T02:33:00	Jocelyn Larouche	Manual testing	259290	259290		-		-	-	0.011	-	-	0.808%
2014-11-06T23:05:00	Jocelyn Larouche	Manual testing	318580	318580		-		-	-	0.014	-	-	0.904%
2016-05-26T05:58:49	Jocelyn Larouche	Manual testing	1082533	1082533		-		-	-	0.047	-	-	1.619%
2016-07-27T11:35:29	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.248	-	-	5.098%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.018	-	-
2016-02-23T16:28:21	Mark Rose	Manual testing	2⁵⁷	2⁶⁰		-	-	0.124	-	-
2009-02-26T17:11:00	Sturle Sunde	czerny.ifi	2⁶⁰	2⁶¹		-	-	0.142	-	-
2010-11-16T20:34:00	Michael C	Manual testing	2⁶¹	2⁶²		-	-	0.284	-	-
2012-10-18T21:47:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.907	-	-
2014-02-02T14:52:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.814	-	-
2014-02-03T01:04:00	ANONYMOUS	Manual testing	2⁶⁴	2⁶⁵		-	-	3.452	-	-
2014-02-22T13:31:00	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	6.903	-	-
2014-02-22T13:31:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	13.81	-	-
2014-02-22T13:31:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	27.61	-	-
2014-02-22T13:31:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	55.22	-	-
2014-02-22T13:31:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	110.4	-	-
2014-04-01T16:49:00	Never Odd Or Even	Manual testing	2⁷⁰	2⁷¹	MISSED FACTOR!	-	-	220.9	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.597 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	17.597 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.731	0.000%
25	50000	1.349	25.941%
30	250000	0.108	89.793%
35	1000000	0.007	99.295%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		279	9.80
50000	5000000	1623069162917486699809	2	0.070
250000	25000000		44	7.727

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-27T14:07:00	Chad Davis	Bayes	50000	5000000						1	0.035
2008-03-18T20:38:00	Sturle Sunde	lara	50000	5000000						3	0.105
2008-12-08T05:16:00	Sturle Sunde	v23	50000	5000000						3	0.105
2009-04-03T04:06:00	Sturle Sunde	v23	50000	5000000						3	0.105
2009-08-26T02:51:00	maxybo	CB418E216	50000	5000000						3	0.105
2009-11-10T15:24:00	SubPrime	c2d0	50000	5000000						3	0.105
2010-04-10T16:19:00	unconnected	can-01	50000	5000000						3	0.105
2010-12-14T23:32:00	Nguyen Xuan Khanh	khanhnx	50000	5000000						3	0.105
2011-06-19T22:14:00	arnaud	ARNAUD	50000	5000000						3	0.105
2012-01-29T10:56:00	Pool Party	sts	50000	5000000						3	0.105
2012-08-15T05:52:00	soldake		50000	5000000						3	0.105
2013-02-09T23:42:00	Pool Party	sts	50000	5000000						3	0.105
2013-06-15T17:53:00	Pool Party	sts	50000	5000000						3	0.105
2013-09-18T16:28:00	Pool Party	sts	50000	5000000						3	0.105
2014-03-09T13:30:00	Bruce	snowflake	50000	5000000						3	0.105
2014-08-05T03:30:00	Xyzzy	jv	50000	5000000						3	0.105
2015-03-04T03:37:00	OS1	Tina	50000	5000000						3	0.105
2015-04-30T22:08:00	arnaud	CHAMOT06	50000	5000000						3	0.105
2015-07-31T02:53:00	OS1	Tina	50000	5000000						3	0.105
2015-10-28T14:25:30	Jason U	Dell-Win7	50000	5000000						3	0.105
2016-02-04T15:15:02	Hartmut Birr	C7CE7B89E	50000	5000000						3	0.105
2016-03-18T08:22:29	raman22feb1988	Raja	50000	5000000						3	0.105
2016-04-13T13:27:08	raman22feb1988	Alex_Pandian	50000	5000000						3	0.105
2016-05-08T23:26:13	OS1	Tina	50000	5000000						3	0.105
2016-06-16T11:38:44	raman22feb1988	Sri_Sridhar	50000	5000000	1623069162917486699809	70.459	2	2		2	0.070
2017-03-03T18:21:53	TJAOI	Manual testing	50000	5000000						68	2.388
2018-01-19T13:25:12	TJAOI	Manual testing	50000	5000000						141	4.952
2020-11-20T10:35:53	TJAOI	Manual testing	250000	25000000						44	7.727

date	userid	compid	res64	spent (GHz-days)
2004-01-18T00:00:00	ANONYMOUS	v4_computers	C09833B9A0FB5469	0.032
2016-06-01T18:47:45	MadPoo	Manual testing	C09833B9A0FB5469	0.032

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 = 62500000 (P-1 stage 2)

B1 = 200000, B2 = 100000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 1082533 (P-1 stage 1)

B1 = 200000, B2 = 10000000 (P-1 stage 2)

B1 = 318580 (P-1 stage 1)

B1 = 259290 (P-1 stage 1)

B1 = 200000 (P-1 stage 1)

10⁰

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10¹⁴

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