M2 100 001 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	227.6562	69.0141%	60000000	1800000000	14.7582	11.0591%	242.4145	72.4408%
Target	2⁶²	0.2926	64.5161%	10000	140000	0.0016	1.4513%	0.2942	65.0311%
Difference	+9	+227.3637	+4.4980%	+59990000	+1799860000	+14.7566	+9.6078%	+242.1203	+7.4097%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-02-27	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.115%
2009-07-15	BigBrother	Miniluv	200000	5000000		-		-	-	0.044	-	-	2.358%
2012-02-10	BloodIce	Mjolnir4	10000000	10000000		-		-	-	0.953	-	-	3.858%
2012-02-16	BloodIce	Mjolnir4	50000000	50000000		-		-	-	4.767	-	-	5.871%
2021-06-06	mognuts	Manual testing	60000000	1800000000		-		-	-	14.76	-	-	11.059%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.073	-	-
2009-01-03	Sturle Sunde	othello.ifi	2⁶⁰	2⁶¹		-	-	0.073	-	-
2011-06-26	Rob_Dee	twopc	2⁶¹	2⁶²		-	-	0.146	-	-
2012-02-05	BloodIce	Manual testing	2⁶²	2⁶³		-	-	0.467	-	-
2012-02-05	BloodIce	Manual testing	2⁶³	2⁶⁴		-	-	0.935	-	-
2013-10-19	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	1.779	-	-
2014-03-08	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	3.558	-	-
2014-03-08	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	7.117	-	-
2014-03-08	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	14.23	-	-
2014-03-08	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	28.47	-	-
2014-03-08	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	56.94	-	-
2015-12-23	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	113.9	-	-

ECM factoring results:

Total ECM effort:	24.157 GHz-days
Estimated T-Level:	25.318

Digits	B1	Complete	FacMiss
20	11000	10.874	0.002%
25	50000	1.007	36.518%
30	250000	0.064	93.834%
35	1000000	0.003	99.702%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	23.91
76620	24176890		1	0.245

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-11	Nathan Slaven	q6600	50000	5000000						3	0.255
2009-11-09	SubPrime	mysql0	50000	5000000						3	0.255
2011-06-15	James Hintz	ryan	50000	5000000						3	0.255
2013-04-01	Donna Noble	CCI_PH2_955	50000	5000000						3	0.255
2014-03-15	BloodIce	NEDDylator	50000	5000000						10	0.851
2014-03-19	BloodIce	NEDDylator	50000	5000000						25	2.127
2014-05-31	BloodIce	Mjolnir4	50000	5000000						20	1.702
2015-02-13	BloodIce	URM2	50000	5000000						214	18.21
2020-11-09	Bruno Victal	Manual testing	76620	24176890						1	0.245

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Jeff Mitchell		9CDF105E9E9FE3B8	0.138
1999-02-07	ANONYMOUS	v4_computers	9CDF105E9E9FE3B8	0.138
1999-03-15	ANONYMOUS	v4_computers	9CDF105E9E9FE3B8	0.138
1999-04-02	ANONYMOUS	v4_computers	9CDF105E9E9FE3B8	0.138
1999-04-13	ANONYMOUS	v4_computers	9CDF105E9E9FE3B8	0.138
2017-09-19	kkmrkkblmbrbk	Manual testing	9CDF105E9E9FE3B8	0.138
2020-12-20	-Anonymous-		9CDF105E9E9FE3B8	0.138

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 = 60000000, B2 = 1800000000 (P-1 stage 2)

B1 = 60000000 (P-1 stage 1)

B1 = 50000000 (P-1 stage 1)

B1 = 10000000 (P-1 stage 1)

B1 = 200000, B2 = 5000000 (P-1 stage 2)

B1 = 200000 (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

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

this exponent TF target: 62

TF double-checked to: 67.7

ECM T-Level=25.32 ~= 67-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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