M18800701 Mersenne number exponent details

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M18800701

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is 2 ^18800701 - 1

has 5659575 decimal digits

takes 11.985 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	2⁶⁸	3.1704	63.2353%	-	-	-	-	3.1704	63.2353%	0.0000%
PrimeNet	2⁶⁵	0.3881	61.5385%	90000	2800000	0.2197	4.8256%	0.6077	63.3944%	1.8560%
GPU72	2⁶⁹	6.3501	63.7681%	130000	3600000	0.2949	3.4748%	6.6451	65.0271%	1.2590%
Difference	-1	-3.1798	-0.5328%	-130000	-3600000	-0.2949	-3.4748%	-3.4747	-1.7918%	-1.7918%

Known prime factors (3 factors, 171.3 bits, 0.00091099% 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
18800701	145983495117791	15	47.053	3882395 5 × 11 × 70589	-	11	70589	1.342e-6	0.0036	0.0066
18800701	123230919819222359	18	56.774	3277295879 11 × 13 × 3299 × 6947	2015-04-29	3299	6947	0.0007	0.0032	0.0062
18800701	200861716814961839191	21	67.445	5341867753095 3² × 5 × 118708172291	2022-08-05	9	118708172291	2.2257	5,978.4	11,166

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
18800701	145983495117791 123230919819222359	17989680381790341425390725888969	32	103.827
18800701	145983495117791 200861716814961839191	29322495456008100062081322545147081	35	114.498
18800701	123230919819222359 200861716814961839191	24752374119575909875380150926029671569	38	124.219
18800701	145983495117791 123230919819222359 200861716814961839191	36134380864388461413319748859402012870727146987840 79	52	171.272

P-1 results:
No P-1 results for M18800701

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-04-29T11:45:00	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	123230919819222359	56.774	18	0.000	24.81	0.000
2022-08-10T19:28:57	LordJulius	Manual testing	2¹	2⁶⁵	123230919819222359	56.774	18	0.001	24.81	0.001
2022-08-10T19:28:57	LordJulius	Manual testing	2¹	2⁶⁵	145983495117791	47.053	15	1.34152e-6	24.81	2.77694e-6
2022-08-10T19:28:57	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.397	-	-
2022-08-10T19:28:57	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.795	-	-
2022-08-05T09:31:12	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200861716814961839191	67.445	21	0.645	24.42	1.315
2022-08-10T19:28:57	LordJulius	Manual testing	2⁶⁷	2⁶⁸	200861716814961839191	67.445	21	0.645	24.42	1.315

ECM factoring results:
No ECM results for M18800701

Lucas-Lehmer results:
No L-L results for M18800701

PRP results:
No PRP results for M18800701

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

10⁰

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10⁰

10¹

10²

10³

10⁴

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10⁸

10⁹

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10¹²

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁷

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:28:57+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