M108224807 Mersenne number exponent details

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is 2 ^108224807 - 1

has 32578914 decimal digits

takes 474.987 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	141.4093	64.4737%	5500000	5500000	35.0014	3.2061%	176.4107	67.6798%	5.1798%
PrimeNet	2⁷²	8.8365	62.5000%	450000	24000000	11.0291	5.4969%	19.8656	67.9969%	5.4969%
GPU72	2⁷⁶	141.4093	64.4737%	700000	24000000	12.5334	3.9802%	153.9426	68.4539%	3.9802%
Difference	-	-	-	+4800000	-18500000	+22.4680	-0.7741%	+22.4680	-0.7741%	-0.7741%

Known prime factors (1 factor, 86.6 bits, 0.00008001% 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
108224807	116145095972657791165045879	27	86.586	536591836900470477 3 × 7 × 3109 × 310663 × 26455411	310663	26455411	2021-02-03	155,994	11.042	17.132

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-02-03T03:50:51	S00030	Manual testing	5500000	5500000			116145095972657791165045879	27	86.586	35.00	950.0	70.00	3.206%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-26T19:31:00	linded	skynet-node055	2⁶³	2⁶⁴		-	-	0.018	-	-
2010-09-09T17:39:00	Commaster	Core-i7	2⁶⁴	2⁶⁵		-	-	0.035	-	-
2012-05-20T16:44:00	tsc	c02	2⁶⁵	2⁶⁶		-	-	0.069	-	-
2013-09-25T15:30:00	processinfo	Manual testing	2⁶⁶	2⁶⁸		-	-	0.414	-	-
2013-09-25T15:30:00	processinfo	Manual testing	2⁶⁸	2⁶⁹		-	-	0.552	-	-
2013-09-25T15:30:00	processinfo	Manual testing	2⁶⁹	2⁷⁰		-	-	1.105	-	-
2013-09-25T15:30:00	processinfo	Manual testing	2⁷⁰	2⁷¹		-	-	2.210	-	-
2015-01-26T23:41:00	JMGarcia	cultivos	2⁷¹	2⁷²		-	-	4.419	-	-
2019-11-09T15:45:14	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³		-	-	8.838	-	-
2019-11-09T15:45:14	Niels_Mache_Nextcloud	Manual testing	2⁷³	2⁷⁴		-	-	17.68	-	-
2020-10-22T16:45:04	James Heinrich	GPU72_TF	2⁷⁴	2⁷⁵		-	-	35.35	-	-
2020-10-24T18:45:01	RichD0	GPU72_TF	2⁷⁵	2⁷⁶		-	-	70.71	-	-

ECM factoring results:
Exponent "108224807" not found

Lucas-Lehmer results:
Exponent "108224807" not found

PRP results:
Exponent "108224807" 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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TF factor-bounds graph:

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-02-03T03:50:51+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