M1996549 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	29.8540	69.1176%	1996549	249568625	1.4763	8.5055%	31.3302	71.7444%	2.6267%
PrimeNet	2⁵⁸	0.0192	63.7931%	8000	140000	0.0014	2.4780%	0.0207	64.6903%	0.8972%
GPU72	2⁶²	0.3077	66.1290%	8000	110000	0.0013	1.2362%	0.3090	66.5477%	0.4187%
Difference	+6	+29.5462	+2.9886%	+1988549	+249458625	+1.4750	+7.2693%	+31.0212	+5.1966%	+5.1966%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1996549	1765110161311514395591	22	70.580	442040280832455 3 × 5 × 29469352055497	2020-01-21	5	29469352055497	227.40	153,071	285,894

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-03-04T05:40:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	5.711%
2018-01-29T17:13:56	Jocelyn Larouche	low 4M	1996549	30000000	12	-		-	-	0.336	-	-	6.075%
2018-02-16T12:53:18	Jocelyn Larouche	low 4M	1996549	60000000	12	-		-	-	0.492	-	-	6.863%
2018-03-09T12:48:32	Jocelyn Larouche	low 4M	1996549	120000000	12	-		-	-	0.803	-	-	7.659%
2018-05-14T10:22:17	Jocelyn Larouche	low 4M	1996549	199654900	12	-		-	-	1.217	-	-	8.247%
2018-11-26T12:53:48	Jocelyn Larouche	Manual testing	1996549	249568625	12	-		-	-	1.476	-	-	8.506%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.058	-	-
2009-12-06T20:58:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.077	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.154	-	-
2011-07-01T19:07:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.799	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.492	-	-
2015-03-03T09:04:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	0.983	-	-
2015-03-03T09:05:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.871	-	-
2015-09-12T12:52:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.743	-	-
2017-05-05T17:07:22	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.486	-	-
2019-05-19T20:32:08	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	14.97	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.412 GHz-days
Estimated T-Level:	3.200

Digits	B1	Curves	Complete	FacMiss
20	11000	64 / 100	0.640	52.560%
25	50000	64 / 280	0.229	79.534%

New Calculation Method

Total ECM effort:	5.412 GHz-days
Estimated T-Level:	3.200

Digits	B1	Complete	FacMiss
20	11000	2.065	12.688%
25	50000	0.187	82.978%
30	250000	0.011	98.858%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		63	5.328
50000	5000000	1765110161311514395591	1	0.085

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-30T14:12:00	ClknGo Software	plms3	50000	5000000						3	0.254
2009-09-02T13:11:00	SubPrime	mysql0	50000	5000000						3	0.254
2011-02-02T23:18:00	arnaud	Arnaud-PC	50000	5000000						3	0.254
2012-12-31T11:32:00	MadPoo	IntLAVH03	50000	5000000						3	0.254
2014-03-04T02:08:00	Syntony	Geomancer	50000	5000000						3	0.254
2015-06-27T18:27:00	dragon325	Falken-i7-920	50000	5000000						3	0.254
2016-02-15T13:51:48	Sintax	cloud2	50000	5000000						3	0.254
2016-04-07T13:51:27	Bruce	Desk6	50000	5000000						3	0.254
2016-07-11T22:25:29	Bruce	test	50000	5000000						3	0.254
2016-11-17T15:18:55	NBCC		50000	5000000						3	0.254
2017-06-16T16:12:02	Bruce	Desk6	50000	5000000						3	0.254
2017-10-27T16:41:04	Conductor	Sasha	50000	5000000						3	0.254
2018-02-22T17:00:19	Bruce	Desk6	50000	5000000						3	0.254
2018-07-25T16:24:45	Bruce	Desk6	50000	5000000						3	0.254
2019-09-14T19:36:47	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2019-12-16T13:16:34	Keysarecool	Boat_Anchor	50000	5000000						3	0.254
2019-12-22T03:59:28	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.254
2019-12-28T06:05:19	TheJudger	myECM	50000	5000000						3	0.254
2020-01-01T17:41:14	TheJudger	myECM	50000	5000000						3	0.254
2020-01-07T19:11:11	daveward2005	Davy	50000	5000000						3	0.254
2020-01-16T01:02:02	J.R. Allen	lapdell	50000	5000000						3	0.254
2020-01-21T12:03:00	mnd9	221Rb	50000	5000000	1765110161311514395591	70.580	1	2	1533203733743092	1	0.085

date	userid	compid	res64	spent (GHz-days)
1999-04-13T00:00:00	ANONYMOUS	v4_computers	2903E0957E34E865	0.131
2015-07-12T18:10:00	MadPoo	Manual testing	2903E0957E34E865	0.131

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 = 1996549, B2 = 249568625 (P-1 stage 2)

B1 = 1996549, B2 = 199654900 (P-1 stage 2)

B1 = 1996549, B2 = 120000000 (P-1 stage 2)

B1 = 1996549, B2 = 60000000 (P-1 stage 2)

B1 = 1996549, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1996549 (P-1 stage 1)

B1 = 1000000 (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