M9700357 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	Prob over default TF
Actual	2⁶⁸	6.1446	64.7059%	2,500,000	2,500,000	1.0573	4.0301%	7.2019	68.7360%	6.2360%
PrimeNet	2⁶⁴	0.3669	62.5000%	40,000	1,100,000	0.0413	3.5120%	0.4083	66.0120%	3.5120%
GPU72	2⁶⁸	6.1446	64.7059%	65,000	1,500,000	0.0606	2.5556%	6.2052	67.2615%	2.5556%
Difference	-	-	-	+2,435,000	+1,000,000	+0.9967	+1.4745%	+0.9967	+1.4745%	+1.4745%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
9700357	9976742434991004584938822903959123959	37	122.908	514246147589774509584483483647 7 × 89 × 431 × 1933 × 31247 × 66499 × 335077 × 1423003	335,077	1,423,003	2019-11-12	1.485e+10	0.1668	0.2884

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-07-06T00:00:00	ANONYMOUS	v4_computers	50,000	50,000		-		-	-	0.021	-	-	0.696%
2011-07-16T17:22:00	James Heinrich	Q6600	180,000	4,050,000		-		-	-	0.165	-	-	3.815%
2019-11-19T00:04:33	Dylan Delgado	Manual testing	2,500,000	2,500,000	12		9976742434991004584938822903959123959	37	122.908	1.057	5.659	2.115	4.030%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-24T00:00:00	Mason	v4_computers	?	2⁶⁴		-	-	0.202	-	-
2013-08-25T00:07:00	Nesowa	Manual testing	2⁶⁴	2⁶⁵		-	-	0.385	-	-
2015-04-22T10:48:00	VictordeHollander	Manual testing	2⁶⁵	2⁶⁶		-	-	0.770	-	-
2016-10-16T01:19:17	snme2pm1	Manual testing	2⁶⁶	2⁶⁷		-	-	1.541	-	-
2016-10-16T01:19:17	snme2pm1	Manual testing	2⁶⁷	2⁶⁸		-	-	3.081	-	-

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
50,000	5,000,000		3	1.331

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-12-08T13:32:00	S00030	op9020-usff	50,000	5,000,000						3	1.331

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-10-22T00:00:00	Mason	v4_computers	754A5A132E9A7170	2.829
2003-12-02T00:00:00	ANONYMOUS	v4_computers	754A5A132E9A7170	2.829

PRP results:

date

userid

compid

cofactors

res64

PRP

2019-11-19T17:01:23

mnd9

office2

9976742434991004584938822903959123959

2F0520D3F786A2__

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 = 2,500,000 (stage 1)

B1 = 180,000, B2 = 4,050,000 (stage 2)

B1 = 180,000 (stage 1)

B1 = 50,000 (stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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	<	123M	PrimeNet wavefront