M104625839 Mersenne number exponent details

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is 2 ^104625839 - 1

has 31495516 decimal digits

takes 416.578 GHz-days to do one PRP test

Last-known PrimeNet details:
-unknown- L-L 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	2⁷⁶	146.2736	64.4737%	5000000	5000000	28.8666	3.0985%	175.1401	67.5722%	5.0722%
PrimeNet	2⁷²	9.1405	62.5000%	450000	22000000	9.3765	5.3937%	18.5170	67.8937%	5.3937%
GPU72	2⁷⁶	146.2736	64.4737%	650000	24000000	11.0973	3.9253%	157.3709	68.3990%	3.9253%
Difference	-	-	-	+4350000	-19000000	+17.7693	-0.8268%	+17.7693	-0.8268%	-0.8268%

Known prime factors (1 factor, 83.1 bits, 0.00007938% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
104625839	10051414479643065351511583	26	83.056	48035048395851169 281 × 509 × 2377 × 141287893	2377	141287893	2020-11-02	30,107	44.455	83.004

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-11-02T05:47:23	Ryan Propper	Manual testing	5000000	5000000			10051414479643065351511583	26	83.056	28.87	833.2	57.73	3.098%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-24T00:32:00	Richard	UNKNOWN	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-28T02:56:00	Donna Noble	ATH2-630-temp	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-05-06T17:53:00	sasaki3	mate_ma1	2⁶⁵	2⁶⁶		-	-	0.071	-	-
2014-05-13T22:27:00	Satan	Manual testing	2⁶⁶	2⁶⁸		-	-	0.429	-	-
2014-05-13T22:27:00	Satan	Manual testing	2⁶⁸	2⁶⁹		-	-	0.571	-	-
2014-05-13T22:27:00	Satan	Manual testing	2⁶⁹	2⁷⁰		-	-	1.143	-	-
2014-05-13T22:27:00	Satan	Manual testing	2⁷⁰	2⁷¹		-	-	2.286	-	-
2014-12-30T11:24:00	Quantum Singularity	Manual testing	2⁷¹	2⁷²		-	-	4.571	-	-
2020-03-06T23:20:47	Will Hockensmith	Manual testing	2⁷²	2⁷³		-	-	9.142	-	-
2020-04-03T05:40:43	SRBase	Manual testing	2⁷³	2⁷⁴		-	-	18.28	-	-
2020-09-25T03:51:05	RichD0	GPU72_TF	2⁷⁴	2⁷⁵		-	-	36.57	-	-
2020-10-03T22:35:03	ktony	GPU72_TF	2⁷⁵	2⁷⁶		-	-	73.14	-	-

ECM factoring results:
Exponent "104625839" not found

Lucas-Lehmer results:
Exponent "104625839" not found

PRP results:
Exponent "104625839" not found

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 = 5000000 (stage 1)

10²

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10²

10³

10⁴

10⁵

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10⁹

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-11-02T05:47:23+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