M108268067 Mersenne number exponent details

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is 2 ^108268067 - 1

has 32591936 decimal digits

takes 475.177 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	141.3528	64.4737%	5500000	5500000	35.0014	3.2063%	176.3542	67.6799%	5.1799%
PrimeNet	2⁷²	8.8330	62.5000%	450000	24000000	11.0291	5.4971%	19.8621	67.9971%	5.4971%
GPU72	2⁷⁶	141.3528	64.4737%	700000	24000000	12.5334	3.9804%	153.8861	68.4541%	3.9804%
Difference	-	-	-	+4800000	-18500000	+22.4680	-0.7742%	+22.4680	-0.7742%	-0.7742%

Known prime factors (1 factor, 88.1 bits, 0.00008141% 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
108268067	342408014271113891647523663	27	88.146	1581297347218334893 7 × 17 × 19 × 61 × 294313 × 38955941	294313	38955941	2021-02-23	964,102	15.278	25.227

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-02-23T06:31:38	Ernst W. Mayer	Manual testing	5500000	5500000			342408014271113891647523663	27	88.146	35.00	950.4	70.00	3.206%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-26T14:37:00	Donna Noble	PH9500	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-13T23:08:00	Jens Bolm	JMBDell	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-23T03:34:00	omiXorp	LLB03-z800-19	2⁶⁵	2⁶⁶		-	-	0.069	-	-
2013-10-13T18:26:00	processinfo	Manual testing	2⁶⁶	2⁶⁸		-	-	0.414	-	-
2013-10-13T18:26:00	processinfo	Manual testing	2⁶⁸	2⁶⁹		-	-	0.552	-	-
2013-10-13T18:26:00	processinfo	Manual testing	2⁶⁹	2⁷⁰		-	-	1.104	-	-
2013-10-13T18:26:00	processinfo	Manual testing	2⁷⁰	2⁷¹		-	-	2.209	-	-
2015-01-24T10:00:00	Youcef L	Manual testing	2⁷¹	2⁷²		-	-	4.417	-	-
2015-01-24T10:00:00	Youcef L	Manual testing	2⁷²	2⁷³		-	-	8.835	-	-
2015-01-24T10:00:00	Youcef L	Manual testing	2⁷³	2⁷⁴		-	-	17.67	-	-
2015-01-24T10:00:00	Youcef L	Manual testing	2⁷⁴	2⁷⁵		-	-	35.34	-	-
2020-01-23T23:45:24	xx005fs_TF	Manual testing	2⁷⁵	2⁷⁶		-	-	70.68	-	-

ECM factoring results:
Exponent "108268067" not found

Lucas-Lehmer results:
Exponent "108268067" not found

PRP results:
Exponent "108268067" 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 = 5500000 (stage 1)

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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: 2021-02-23T06:31:38+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