M107072687 Mersenne number exponent details

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M107072687

<<<

is 2 ^107072687 - 1

has 32232091 decimal digits

takes 439.147 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	2⁷⁶	142.9309	64.4737%	756000	756000	4.4959	1.5401%	147.4268	65.0208%	0.5471%
PrimeNet	2⁷²	8.9316	62.5000%	450000	22000000	9.6586	5.4085%	18.5902	64.5282%	2.0282%
GPU72	2⁷⁶	142.9309	64.4737%	700000	24000000	11.7123	3.9751%	154.6432	65.8859%	1.4122%
Difference	-	-	-	+56000	-23244000	-7.2164	-2.4350%	-7.2164	-0.8651%	-0.8651%

Known prime factors (1 factor, 76.3 bits, 0.00007129% 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
107072687	95352689558688112327801	23	76.336	445270835309700 2² × 3 × 5² × 1847 × 2113 × 380309	2021-10-29	2113	380309	250.59	0.1351	0.2301

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-10-29T19:19:01	Jwb52z	Clay	756000	756000			95352689558688112327801	23	76.336	4.496	878.3	8.992	1.540%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-24T06:55:00	sasaki3	ssk_saver	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-06T22:27:00	WPS	s1	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-08-03T11:28:00	RMAC9.5	Compaq-PIII-933	2⁶⁵	2⁶⁶		-	-	0.070	-	-
2013-10-04T10:08:00	ANONYMOUS		2⁶⁶	2⁶⁷		-	-	0.140	-	-
2014-10-31T17:17:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.279	-	-
2014-11-12T15:52:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.558	-	-
2014-11-17T20:27:00	kutens	smoothost	2⁶⁹	2⁷⁰		-	-	1.117	-	-
2015-01-28T00:17:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	2.233	-	-
2018-02-13T17:57:45	el grocco	Manual testing	2⁷¹	2⁷²		-	-	4.467	-	-
2020-03-20T18:45:10	srow7	Manual testing	2⁷²	2⁷³		-	-	8.933	-	-
2020-03-20T18:45:10	srow7	Manual testing	2⁷³	2⁷⁴		-	-	17.87	-	-
2021-04-08T18:21:33	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	35.73	-	-
2021-04-08T18:21:33	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	71.47	-	-

ECM factoring results:
No ECM results for M107072687

Lucas-Lehmer results:
No L-L results for M107072687

PRP results:
No PRP results for M107072687

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 = 756000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-10-29T19:19:01+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