M3 915 503 Mersenne number exponent details

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M3915503

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is 2 ^3915503 - 1

has 1178684 decimal digits

takes 0.488 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	EC5A47CFD3E6C525	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	122.0988	69.0141%	5200000	16049353320	159.0243	12.5637%	281.1232	72.9070%
Target	2⁶⁴	0.9090	65.6250%	26000	2500000	0.0291	2.2795%	0.9381	66.4086%
Difference	+7	+121.1898	+3.3891%	+5174000	+16046853320	+158.9953	+10.2841%	+280.1850	+6.4985%

Known prime factors:
No known factors for M3915503

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-05-05	ANONYMOUS	v4_computers	20000	240000		-		-	-	0.006	-	-	0.611%
2011-10-04	Squeeky_Squirrel	T7500_2200	70000	1172500		-		-	-	0.024	-	-	1.443%
2014-11-03	Jocelyn Larouche	Manual testing	86392	86392		-		-	-	0.016	-	-	0.529%
2016-04-08	Jocelyn Larouche	Manual testing	228096	4105728	6	-		-	-	0.079	-	-	2.525%
2021-11-18	Aaron Haviland	Manual testing	500000	15000000	12	-		-	-	0.233	-	-	3.759%
2022-04-28	Jocelyn Larouche	Manual testing	500000	130364850		-		-	-	1.370	-	-	5.421%
2022-10-30	Jocelyn Larouche	Manual testing	1000000	130364850		-		-	-	1.455	-	-	5.973%
2023-02-12	Jocelyn Larouche	Manual testing	1000000	264622050		-		-	-	2.778	-	-	6.615%
2023-07-01	Sid & Andy	Magic_8_Ball	5200000	16049353320		-		-	-	159.0	-	-	12.564%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-10-29	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.039	-	-
2009-02-23	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.039	-	-
2011-02-17	Grant McCracken	thumper	2⁶¹	2⁶²		-	-	0.078	-	-
2012-02-10	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.408	-	-
2016-02-23	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.251	-	-
2015-01-14	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.501	-	-
2015-01-14	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	0.954	-	-
2016-02-11	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	1.909	-	-
2016-12-03	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	3.817	-	-
2019-01-11	Yxinity	Manual testing	2⁶⁷	2⁶⁸		-	-	7.634	-	-
2020-05-22	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	15.27	-	-
2021-04-18	axn	Manual testing	2⁶⁹	2⁷⁰		-	-	30.54	-	-
2021-06-09	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	61.07	-	-

ECM factoring results:

Total ECM effort:	47.067 GHz-days
Estimated T-Level:	21.955

Digits	B1	Complete	FacMiss
20	11000	4.092	1.671%
25	50000	0.391	67.642%
30	250000	0.025	97.520%
35	1000000	0.001	99.880%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	25	4.477
50000	6400000	7	1.418
50000	27023535	7	3.834
50000	38910690	50	37.34

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-18	James Hintz	18_091909	50000	5000000						3	0.537
2012-10-17	561	561	50000	5000000						3	0.537
2016-02-08	Bruce	Desk10	50000	5000000						3	0.537
2016-05-02	mikr	MSI	50000	5000000						9	1.612
2022-04-27	mikr	S070	50000	6400000						7	1.418
2022-08-05	daveward2005	Dave2	50000	5000000						7	1.254
2022-11-06	Nesowa	entropy_generator_2	50000	27023535						7	3.834
2023-07-23	Nesowa	9400T	50000	38910690						50	37.34

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-03-17	ANONYMOUS	v4_computers	EC5A47CFD3E6C525	0.488
2000-05-31	ANONYMOUS	v4_computers	EC5A47CFD3E6C525	0.488

PRP results:
No PRP results for M3915503

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 = 5200000, B2 = 16049353320 (P-1 stage 2)

B1 = 1000000, B2 = 264622050 (P-1 stage 2)

B1 = 1000000, B2 = 130364850 (P-1 stage 2)

B1 = 500000, B2 = 130364850 (P-1 stage 2)

B1 = 5200000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 228096, B2 = 4105728 (P-1 stage 2)

B1 = 228096 (P-1 stage 1)

B1 = 70000, B2 = 1172500 (P-1 stage 2)

B1 = 86392 (P-1 stage 1)

B1 = 70000 (P-1 stage 1)

B1 = 20000, B2 = 240000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

this exponent TF target: 64

TF double-checked to: 67.9

ECM T-Level=21.95 ~= 56-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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Last modified: 2023-10-02T12:12:48+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