M1961347 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	30.3898	69.1176%	1961347	245168375	1.1966	8.4558%	31.5864	71.7290%	2.6113%
PrimeNet	2⁵⁸	0.0196	63.7931%	8000	140000	0.0012	2.4695%	0.0208	64.6872%	0.8941%
GPU72	2⁶²	0.3132	66.1290%	8000	90000	0.0010	1.1545%	0.3142	66.5201%	0.3911%
Difference	+6	+30.0765	+2.9886%	+1953347	+245078375	+1.1956	+7.3013%	+31.2722	+5.2089%	+5.2089%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1961347	7302700080556479995353	22	72.629	1861654281612708 2² × 3 × 11 × 14103441527369	2020-01-09	11	14103441527369	752.33	60,444	112,892

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-04-13T10:14:00	kurly	slice	1000000	30000000		-		-	-	0.203	-	-	5.700%
2018-01-29T11:07:16	Jocelyn Larouche	low 4M	1961347	30000000	12	-		-	-	0.274	-	-	6.055%
2018-02-13T12:59:54	Jocelyn Larouche	low 4M	1961347	60000000	12	-		-	-	0.403	-	-	6.840%
2018-03-04T11:00:59	Jocelyn Larouche	low 4M	1961347	120000000	12	-		-	-	0.660	-	-	7.633%
2018-05-16T11:47:05	Jocelyn Larouche	low 4M	1961347	196134700	12	-		-	-	0.986	-	-	8.198%
2018-11-26T12:53:58	Jocelyn Larouche	Manual testing	1961347	245168375	12	-		-	-	1.197	-	-	8.456%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-09T14:40:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.078	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.157	-	-
2011-08-27T22:19:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.814	-	-
2016-02-23T16:29:00	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.501	-	-
2015-04-19T12:31:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.001	-	-
2015-04-19T12:32:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.905	-	-
2015-09-08T08:29:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.810	-	-
2018-01-08T13:22:29	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.620	-	-
2019-05-14T12:32:11	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.24	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	4.456 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:	4.456 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	4.386
50000	5000000	7302700080556479995353	1	0.070

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-19T14:11:00	mognuts	hallowes	50000	5000000						3	0.209
2009-08-23T21:17:00	lindee	amokram	50000	5000000						3	0.209
2011-01-20T05:30:00	Lupo	yorick	50000	5000000						3	0.209
2012-12-01T00:24:00	Smurgs	Praca	50000	5000000						3	0.209
2014-01-17T15:37:00	OS1	L3	50000	5000000						3	0.209
2015-06-02T13:13:00	OS1	L3	50000	5000000						3	0.209
2016-02-13T20:31:33	James P McMillan	caturday	50000	5000000						3	0.209
2016-03-27T01:41:08	StarionHost	Bluto	50000	5000000						3	0.209
2016-06-30T05:55:39	Bruce	Desk6	50000	5000000						3	0.209
2016-10-17T21:54:07	Bruce	Desk6	50000	5000000						3	0.209
2017-06-06T21:49:54	Bruce	Desk6	50000	5000000						3	0.209
2017-09-19T13:56:19	Bruce	Desk6	50000	5000000						3	0.209
2018-01-21T12:58:39	Bruce	Desk6	50000	5000000						3	0.209
2018-06-19T00:16:30	Bruce	Desk6	50000	5000000						3	0.209
2019-04-26T06:29:21	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-08T01:14:24	Keysarecool	HPLaptop	50000	5000000						3	0.209
2019-12-13T01:57:19	Nesowa	6700T	50000	5000000						3	0.209
2019-12-17T15:37:27	Keysarecool	Boat_Anchor	50000	5000000						3	0.209
2019-12-23T16:10:11	J.R. Allen	lapdell	50000	5000000						3	0.209
2019-12-29T10:12:45	IanGlencross	glenx24	50000	5000000						3	0.209
2020-01-03T08:00:51	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2020-01-09T05:01:51	mnd9	221Rb	50000	5000000	7302700080556479995353	72.629	1	2	8573018363030315	1	0.070

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	PHeede	v4_computers	A62C6363B475977C	0.106
2015-06-28T05:06:00	MadPoo	Manual testing	A62C6363B475977C	0.106

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 = 1961347, B2 = 245168375 (P-1 stage 2)

B1 = 1961347, B2 = 196134700 (P-1 stage 2)

B1 = 1961347, B2 = 120000000 (P-1 stage 2)

B1 = 1961347, B2 = 60000000 (P-1 stage 2)

B1 = 1961347, B2 = 30000000 (P-1 stage 2)

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

B1 = 1961347 (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