M5 796 487 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	2⁷²	164.9850	68.0556%	3400000	7096632270	100.1829	10.7650%	265.1679	71.4944%
Target	2⁶⁶	2.5478	65.1515%	36000	6400000	0.0984	2.2780%	2.6462	65.9454%
Difference	+6	+162.4372	+2.9040%	+3364000	+7090232270	+100.0845	+8.4870%	+262.5218	+5.5490%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5796487	2264870884752356843665519941719104657097	40	130.735	195365821121686018071421530119804 2² × 43 × 107 × 809 × 56003 × 350503 × 2170241 × 308018531	2022-10-23	2170241	308018531	3.318e+10	4.8397	8.0544

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-09-15	ANONYMOUS	v4_computers	25000	243750		-		-	-	0.009	-	-	0.618%
2011-04-20	harlee	P4_2600	65000	1088750		-		-	-	0.031	-	-	1.301%
2019-12-05	storm5510	Manual testing	720000	11520000		-		-	-	0.336	-	-	3.553%
2022-10-23	Sid & Andy	Magic_8_Ball	3400000	7096632270			2264870884752356843665519941719104657097	40	130.735	100.2	2.055	200.4	10.765%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-11	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.106	-	-
2009-03-25	GrunwalderGIMP	Manual testing	2⁶²	2⁶³		-	-	0.169	-	-
2014-11-06	Nesowa	Manual testing	2⁶³	2⁶⁴		-	-	0.339	-	-
2014-11-07	monst	Manual testing	2⁶⁴	2⁶⁵		-	-	0.645	-	-
2015-09-10	snme2pm1	Manual testing	2⁶⁵	2⁶⁶		-	-	1.289	-	-
2016-07-08	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	2.578	-	-
2018-06-07	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	5.157	-	-
2020-06-26	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	10.31	-	-
2020-12-15	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	20.63	-	-
2020-12-17	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	41.25	-	-
2020-12-18	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	82.51	-	-

ECM factoring results:

Total ECM effort:	2.425 GHz-days
Estimated T-Level:	1.731

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	2.425

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2011-05-07	Martti Järvi	SKYNET	50000	5000000						3	0.808
2016-01-08	Pale Dim	IdeaPad_U530	50000	5000000						3	0.808
2019-05-15	furkell	furkell1	50000	5000000						3	0.808

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-10-04	ANONYMOUS	v4_computers	E3D8429537C544B2	1.027
2000-10-15	ANONYMOUS	v4_computers	E3D8429537C544B2	1.027

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 = 3400000, B2 = 7096632270 (P-1 stage 2)

B1 = 3400000 (P-1 stage 1)

B1 = 720000, B2 = 11520000 (P-1 stage 2)

B1 = 720000 (P-1 stage 1)

B1 = 65000, B2 = 1088750 (P-1 stage 2)

B1 = 65000 (P-1 stage 1)

B1 = 25000, B2 = 243750 (P-1 stage 2)

B1 = 25000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

this exponent TF target: 66

TF double-checked to: 67.9

ECM T-Level=1.73 ~= -11-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

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