M13863433 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	2⁷³	137.9777	67.1233%	1600000	1620978450	57.7898	8.5038%	195.7675	69.9191%	2.7958%
Target	2⁶⁹	8.6116	65.2174%	90000	2200000	0.1319	2.7935%	8.7435	66.1891%	0.9717%
Difference	+4	+129.3660	+1.9059%	+1510000	+1618778450	+57.6579	+5.7103%	+187.0240	+3.7300%	+1.8241%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
13863433	127349300298065012657008984750657838623	39	126.582	4592992958456430404251565422167 3 × 13 × 23 × 281 × 4507 × 33503 × 140363 × 291727 × 2947111	2023-01-12	291727	2947111	1.043e+10	0.2808	0.3820

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-01T00:00:00	ANONYMOUS	v4_computers	155000	2208750		-		-	-	0.172	-	-	1.940%
2002-05-05T00:00:00	ANONYMOUS	v4_computers	200000	200000		-		-	-	0.129	-	-	0.836%
2022-12-16T13:15:48	nordi	sweet16_30.8b14	1600000	1600000		-		-	-	1.029	-	-	2.176%
2023-01-12T19:18:17	nordi	sweet16_30.8b14	1600000	1620978450			127349300298065012657008984750657838623	39	126.582	57.79	12.30	115.6	8.504%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-07-25T00:00:00	lalera	v4_computers	2¹	2⁵⁶		-	-	0.001	-	-
2000-07-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.526	-	-
2014-07-08T13:09:00	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.539	-	-
2015-09-04T23:15:00	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	1.078	-	-
2017-12-23T05:02:07	-Anonymous-	Manual testing	2⁶⁷	2⁶⁸		-	-	2.156	-	-
2018-01-14T22:54:00	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	4.312	-	-
2021-08-08T08:25:35	SRBase	Manual testing	2⁶⁹	2⁷⁰		-	-	8.624	-	-
2021-08-23T14:22:02	Chuck	GPU72_TF	2⁷⁰	2⁷¹		-	-	17.25	-	-
2021-09-06T01:52:02	LaurV	GPU72_TF	2⁷¹	2⁷²		-	-	34.50	-	-
2021-10-29T11:56:22	RichD0	Manual testing	2⁷²	2⁷³		-	-	69.00	-	-

ECM factoring results:

Total ECM effort:	1.349 GHz-days
Estimated T-Level:	0.385

Digits	B1	Complete	FacMiss
20	11000	0.077	92.596%
25	50000	0.007	99.291%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		2	1.349

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-08-20T20:20:46	Adam Buran	asus78	50000	5000000						1	0.675
2019-04-28T06:26:22	SXS2297	M-Laptop	50000	5000000						1	0.675

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-06-06T00:00:00	ANONYMOUS	v4_computers	9B288A3C0286C118	6.151
2005-09-22T00:00:00	ANONYMOUS	v4_computers	9B288A3C0286C118	6.151

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 = 2208750 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

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

2⁵⁶

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	<	146M	PrimeNet wavefront