M2744969 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	21.7142	67.6471%	2700000	84000000	0.7984	7.6752%	22.5127	70.1302%	2.4832%
PrimeNet	2⁵⁹	0.0280	62.7119%	12000	220000	0.0026	2.8515%	0.0306	63.7751%	1.0633%
GPU72	2⁶³	0.5814	65.0794%	14000	240000	0.0029	1.7084%	0.5844	65.6760%	0.5966%
Difference	+5	+21.1328	+2.5677%	+2686000	+83760000	+0.7955	+5.9668%	+21.9283	+4.4543%	+4.4543%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2744969	50708037052383925164526607	26	85.390	9236540932226179087 9236540932226179087	2021-07-07	1	9236540932226179087	4,267,660	5.636e+10	1.053e+11

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-16T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.241%
2003-11-28T00:00:00	Team Prime Rib	v4_computers	15000	225000		-		-	-	0.003	-	-	0.798%
2010-12-21T01:09:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.269%
2010-12-29T20:12:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.373%
2011-01-21T23:30:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.006	-	-	0.539%
2011-05-01T18:14:00	James Heinrich	WHS	185000	4625000		-		-	-	0.048	-	-	3.315%
2016-11-17T00:12:28	mikr	MSI	2700000	84000000	12	-		-	-	0.798	-	-	7.675%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:20	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.056	-	-
2009-01-31T15:09:00	Sturle Sunde	giacco.ifi	2⁶⁰	2⁶¹		-	-	0.056	-	-
2012-04-01T23:53:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.112	-	-
2013-01-14T12:31:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.358	-	-
2015-04-21T09:20:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.715	-	-
2015-04-21T09:20:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.361	-	-
2016-02-04T08:53:26	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.722	-	-
2017-10-05T11:09:31	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.445	-	-
2019-02-18T09:11:44	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.89	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.906 GHz-days
Estimated T-Level:	21.804

Digits	B1	Curves	Complete	FacMiss
20	11000	101 / 100	1.010	36.237%
25	50000	101 / 280	0.361	69.673%

New Calculation Method

Total ECM effort:	10.906 GHz-days
Estimated T-Level:	21.804

Digits	B1	Complete	FacMiss
20	11000	3.293	3.716%
25	50000	0.297	74.338%
30	250000	0.018	98.194%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	50000		7	0.417
50000	5000000		99	10.28
50000	5000000	50708037052383925164526607	2	0.208

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-30T21:42:00	Stun	Core2	50000	5000000						3	0.312
2010-09-07T15:57:00	Wolfgang Fluck	C91F72025	50000	5000000						3	0.312
2013-02-25T12:49:00	Donna Noble	PH2x6	50000	5000000						3	0.312
2015-03-05T23:28:00	Jason U	Server7	50000	5000000						3	0.312
2016-02-12T02:17:45	Jason U	Server7	50000	5000000						3	0.312
2016-05-11T13:57:41	Jason U	Server7	50000	5000000						3	0.312
2016-12-29T23:32:50	Ensigma	vps_sing	50000	5000000						3	0.312
2017-07-24T16:04:23	JMGarcia	jmgarcia-pW07	50000	5000000						3	0.312
2017-12-20T23:27:40	Sebastian Hornbostel	V2	50000	5000000						3	0.312
2018-09-10T14:22:40	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.312
2020-07-31T11:42:38	daveward2005	Dave2	50000	5000000						3	0.312
2020-08-08T10:12:58	rextherunt	ice	50000	5000000						3	0.312
2020-08-16T22:58:47	GAN	OSB-01	50000	5000000						7	0.727
2020-09-17T10:44:33	daveward2005	Dave2	50000	5000000						7	0.727
2020-10-17T22:21:42	mnd9	221Lb	50000	5000000						7	0.727
2020-11-19T20:59:59	Zenzoma	i7-6820HQ	50000	5000000						7	0.727
2020-12-28T17:40:35	rextherunt	ice	50000	5000000						7	0.727
2021-01-27T10:37:54	Zenzoma	AMD3970X	50000	5000000						7	0.727
2021-02-26T00:36:18	Zenzoma	AMD3970X	50000	5000000						7	0.727
2021-04-01T21:38:39	daveward2005	Dave2	50000	5000000						7	0.727
2021-05-19T01:22:59	A child prodigy in maths	math_child_prodigy	50000	50000						7	0.417
2021-05-27T12:50:27	kutens	vega	50000	5000000						7	0.727
2021-07-07T14:15:48	daveward2005	Dave2	50000	5000000	50708037052383925164526607	85.390	2	2	8766629771341584	2	0.208

date	userid	compid	res64	spent (GHz-days)
1999-04-23T00:00:00	ANONYMOUS	v4_computers	B5EB55B43AA14C1C	0.212
2018-08-12T17:55:18	kkmrkkblmbrbk	old	B5EB55B43AA14C1C	0.212

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 = 2700000, B2 = 84000000 (P-1 stage 2)

B1 = 2700000 (P-1 stage 1)

B1 = 185000, B2 = 4625000 (P-1 stage 2)

B1 = 185000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 225000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

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

B1 = 2048 (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