M104136569 Mersenne number exponent details

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is 2 ^104136569 - 1

has 31348231 decimal digits

takes 414.630 GHz-days to do one PRP test

Last-known PrimeNet details:
-unknown- L-L tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	889C25C73E8503__	double-checked

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁶	146.9608	64.4737%	860000	16340000	9.8342	3.7708%	156.7950	68.2444%	5.7444%
PrimeNet	2⁷²	9.1835	62.5000%	450000	22000000	9.3765	5.3907%	18.5599	67.8907%	5.3907%
GPU72	2⁷⁶	146.9608	64.4737%	650000	24000000	11.0973	3.9231%	158.0581	68.3967%	3.9231%
Difference	-	-	-	+210000	-7660000	-1.2631	-0.1523%	-1.2631	-0.1523%	-0.1523%

Known prime factors:
No known factors for M104,136,569

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-12-03T23:36:08	Jon Pace	16-03-Julie	860000	16340000		-		-	-	9.83	-	-	3.771%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-21T18:19:00	Richard	UNKNOWN	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-30T22:47:00	Richard	UNKNOWN	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-07-04T23:26:00	sasaki3	asort	2⁶⁵	2⁶⁶		-	-	0.072	-	-
2014-10-17T15:54:00	shauge	Manual testing	2⁶⁶	2⁶⁸		-	-	0.431	-	-
2014-10-17T15:54:00	shauge	Manual testing	2⁶⁸	2⁶⁹		-	-	0.574	-	-
2014-10-17T15:54:00	shauge	Manual testing	2⁶⁹	2⁷⁰		-	-	1.148	-	-
2014-10-17T15:54:00	shauge	Manual testing	2⁷⁰	2⁷¹		-	-	2.296	-	-
2014-12-23T20:21:00	shauge	Manual testing	2⁷¹	2⁷²		-	-	4.593	-	-
2019-07-20T09:33:40	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	9.185	-	-
2019-07-20T09:33:40	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	18.37	-	-
2020-09-24T04:18:05	Bill Staffen	GPU72_TF	2⁷⁴	2⁷⁵		-	-	36.74	-	-
2020-10-04T22:30:07	RichD0	GPU72_TF	2⁷⁵	2⁷⁶		-	-	73.48	-	-

ECM factoring results:
Exponent "104136569" not found

Lucas-Lehmer results:
Exponent "104136569" not found

PRP results:

date	userid	compid	cofactors	res64	PRP
2020-12-09T01:07:56	Jon Pace	16-03-Julie		889C25C73E8503__	no

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 = 860000, B2 = 16340000 (stage 2)

B1 = 860000 (stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-12-09T01:07:56+00:00

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