M107203427 Mersenne number exponent details

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M107203427

<<<

is 2 ^107203427 - 1

has 32271448 decimal digits

takes 439.683 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	142.7566	64.4737%	757000	21023000	11.0683	3.9160%	153.8248	65.8649%	1.3912%
PrimeNet	2⁷²	8.9207	62.5000%	450000	22000000	9.6586	5.4092%	18.5793	64.5285%	2.0285%
GPU72	2⁷⁶	142.7566	64.4737%	700000	24000000	11.7123	3.9757%	154.4689	65.8861%	1.4124%
Difference	-	-	-	+57000	-2977000	-0.6441	-0.0596%	-0.6441	-0.0212%	-0.0212%

Known prime factors (1 factor, 77.8 bits, 0.00007256% 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
107203427	260429952341275128058663	24	77.785	1214653111515153 3⁵ × 929 × 3181 × 1691479	2021-11-05	3181	1691479	395.09	0.5659	1.0236

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-11-05T05:01:59	Jwb52z	Clay	757000	21023000			260429952341275128058663	24	77.785	11.07	879.4	22.14	3.916%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-24T14:22:00	MartinatMersea	Qosmio	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-07T12:43:00	sasaki3	ssk_saver	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-19T04:05:00	omiXorp	LLB03-z800-20	2⁶⁵	2⁶⁶		-	-	0.070	-	-
2015-05-02T02:45:00	Judge Hale	Manual testing	2⁶⁶	2⁶⁸		-	-	0.418	-	-
2015-05-02T02:45:00	Judge Hale	Manual testing	2⁶⁸	2⁶⁹		-	-	0.558	-	-
2015-05-02T02:45:00	Judge Hale	Manual testing	2⁶⁹	2⁷⁰		-	-	1.115	-	-
2015-05-11T10:17:00	symallad	6corething	2⁷⁰	2⁷¹		-	-	2.231	-	-
2018-02-28T18:52:22	el grocco	Manual testing	2⁷¹	2⁷²		-	-	4.461	-	-
2020-03-01T08:04:02	el grocco	Manual testing	2⁷²	2⁷³		-	-	8.922	-	-
2020-03-13T10:50:11	Hans Loeblich	Manual testing	2⁷³	2⁷⁴		-	-	17.84	-	-
2021-04-10T18:09:10	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	35.69	-	-
2021-04-10T18:09:10	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	71.38	-	-

ECM factoring results:
No ECM results for M107203427

Lucas-Lehmer results:
No L-L results for M107203427

PRP results:
No PRP results for M107203427

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 = 757000, B2 = 21023000 (P-1 stage 2)

B1 = 757000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

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: 2021-11-05T05:01:59+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