M249500501 Mersenne number exponent details

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is 2 ^249500501 - 1

has 75107135 decimal digits

takes 2,716.783 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-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	2⁶⁷	0.1191	58.2090%	-	-	-	-	0.1191	58.2090%	-4.4577%
PrimeNet	2⁷⁵	30.6689	62.6667%	1000000	65000000	70.8431	5.9539%	101.5120	64.8895%	2.2228%
GPU72	2⁷⁹	490.7132	64.5570%	1600000	65000000	79.8003	4.4079%	570.5135	66.1192%	1.5623%
Difference	-12	-490.5941	-6.3480%	-1600000	-65000000	-79.8003	-4.4079%	-570.3944	-7.9103%	-7.9103%

Known prime factors (3 factors, 174.7 bits, 0.00007002% 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
249500501	11607130072256471	17	53.366	23260735 5 × 41 × 113467	2008-01-02	41	113467	8.614e-6	0.0982	0.1823
249500501	307699788260867209	18	58.094	616631604 2² × 3 × 307 × 167381	2015-08-10	307	167381	0.0002	0.1486	0.2689
249500501	10892023586566065497	20	63.240	21827658748 2² × 7 × 779559241	2017-01-10	7	779559241	0.0100	670.59	1,252.5

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
249500501	11607130072256471 307699788260867209	3571511465549660434777661921959439	34	111.460
249500501	11607130072256471 10892023586566065497	126425134519357762226220511168081087	36	116.606
249500501	307699788260867209 10892023586566065497	3351473351318749794810674036313587873	37	121.334
249500501	11607130072256471 307699788260867209 10892023586566065497	38900987122458037322676875232109954203680199051376 183	53	174.700

P-1 results:
Exponent "249500501" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-08-10T11:15:00	TJAOI	Manual testing	2⁵⁸	2⁵⁹	307699788260867209	58.094	18	6.79548e-6	5,570	1.39323e-5
2017-01-10T17:24:55	TJAOI	Manual testing	2⁶³	2⁶⁴	10892023586566065497	63.240	20	0.004	5,570	0.007

ECM factoring results:
Exponent "249500501" not found

Lucas-Lehmer results:
Exponent "249500501" not found

PRP results:
Exponent "249500501" 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

10⁰

10¹

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10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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10⁹

TF factor-bounds graph:

2⁶⁷

2⁶⁴

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-01-10T17:24:55+00:00