M13 770 481 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷³	138.9090	67.1233%	1600000	1620978450	57.7898	8.4982%	196.6988	69.9172%
Target	2⁶⁹	8.6698	65.2174%	90000	11000000	0.4403	2.7907%	9.1101	66.1881%
Difference	+4	+130.2393	+1.9059%	+1510000	+1609978450	+57.3495	+5.7075%	+187.5888	+3.7291%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-02-17	ANONYMOUS	v4_computers	155000	2131250		-		-	-	0.169	-	-	1.920%
2022-12-11	nordi	sweet16_30.8b14	1600000	1600000		-		-	-	1.029	-	-	2.174%
2023-01-08	nordi	sweet16_30.8b14	1600000	1620978450		-		-	-	57.79	-	-	8.498%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-07-25	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.258	-	-
2000-08-01	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.530	-	-
2014-07-02	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.543	-	-
2015-08-19	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	1.085	-	-
2017-12-23	-Anonymous-	Manual testing	2⁶⁷	2⁶⁸		-	-	2.171	-	-
2018-01-29	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	4.341	-	-
2021-08-08	SRBase	Manual testing	2⁶⁹	2⁷⁰		-	-	8.683	-	-
2021-09-04	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	17.37	-	-
2021-09-20	RichD0	GPU72_TF	2⁷¹	2⁷²		-	-	34.73	-	-
2023-10-28	Sid & Andy	Manual testing	2⁷²	2⁷³		-	-	69.46	-	-

ECM factoring results:

Total ECM effort:	0.675 GHz-days
Estimated T-Level:	0.192

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.675

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-08-13	kkmrkkblmbrbk	kel1	50000	5000000						1	0.675

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-02-16	ANONYMOUS	v4_computers	97C9ADA0CB303F80	6.110
2005-03-20	ANONYMOUS	v4_computers	97C9ADA0CB303F80	6.110

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 = 1600000, B2 = 1620978450 (P-1 stage 2)

B1 = 1600000 (P-1 stage 1)

B1 = 155000, B2 = 2131250 (P-1 stage 2)

B1 = 155000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 69

TF double-checked to: 67.9

ECM T-Level=0.19 ~= -16-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