M75794029 Mersenne number exponent details

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M75794029

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is 2 ^75794029 - 1

has 22816277 decimal digits

takes 209.548 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁵	100.9566	64.0000%	625000	11718750	4.9285	3.5929%	105.8851	65.2934%	1.2934%
PrimeNet	2⁷⁰	3.1526	61.4286%	320000	14000000	4.2707	5.5645%	7.4233	63.5749%	2.1463%
GPU72	2⁷⁴	50.4771	63.5135%	500000	18000000	5.8266	4.1884%	56.3037	65.0417%	1.5282%
Difference	+1	+50.4795	+0.4865%	+125000	-6281250	-0.8981	-0.5955%	+49.5814	+0.2517%	+0.2517%

Known prime factors (1 factor, 85.2 bits, 0.00011239% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
75794029	43982252594175718118846617	26	85.185	290143255177632252 2² × 3 × 11 × 23 × 571 × 70183 × 2384749	2016-03-30	70183	2384749	194,949	0.7869	0.9728

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-30T21:31:18	Jwb52z	Clay	625000	11718750			43982252594175718118846617	26	85.185	4.929	419.1	9.86	3.593%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-06-01T14:51:00	Architects Cubed	m1_26	2⁶³	2⁶⁴		-	-	0.026	-	-
2010-08-14T22:46:00	seekua	X3-710	2⁶⁴	2⁶⁵		-	-	0.049	-	-
2010-08-26T03:50:00	Ethan	Work2	2⁶⁵	2⁶⁶		-	-	0.099	-	-
2010-10-31T04:07:00	blin00	CF60D108D	2⁶⁶	2⁶⁷		-	-	0.197	-	-
2010-11-03T21:43:00	blin00	CF60D108D	2⁶⁷	2⁶⁸		-	-	0.394	-	-
2010-11-07T18:57:00	tmorrow	paperclip	2⁶⁸	2⁶⁹		-	-	0.789	-	-
2010-11-10T23:23:00	tmorrow	paperclip	2⁶⁹	2⁷⁰		-	-	1.577	-	-
2012-12-18T01:55:00	wangyun183	Manual testing	2⁷⁰	2⁷¹		-	-	3.155	-	-
2015-10-22T10:39:17	RichD0	Manual testing	2⁷¹	2⁷²		-	-	6.310	-	-
2016-03-26T12:41:40	apocalypse	Manual testing	2⁷²	2⁷³		-	-	12.62	-	-
2016-03-26T12:41:40	apocalypse	Manual testing	2⁷³	2⁷⁴		-	-	25.24	-	-
2016-03-26T12:41:40	apocalypse	Manual testing	2⁷⁴	2⁷⁵		-	-	50.48	-	-

ECM factoring results:
No ECM results for M75794029

Lucas-Lehmer results:
No L-L results for M75794029

PRP results:
No PRP results for M75794029

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 = 625000, B2 = 11718750 (P-1 stage 2)

B1 = 625000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-03-30T21:31:18+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	<	146M	PrimeNet wavefront