M77 999 869 Mersenne number exponent details

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is 2 ^77999869 - 1

has 23480301 decimal digits

takes 243.398 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	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁰	3.0635	61.4286%	-	-	-	-	3.0635	61.4286%
Target	2⁷⁵	98.1016	64.0000%	500000	17000000	6.3299	3.7708%	104.4315	65.3575%
Difference	-5	-95.0381	-2.5714%	-500000	-17000000	-6.3299	-3.7708%	-101.3680	-3.9289%

Known prime factors (2 factors, 200.2 bits, 0.00025664% 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
77999869	195493151840292702688361	24	77.371	1253163334417220 2² × 5 × 43 × 136093 × 10707139	2012-01-01	136093	10707139	424.69	3.2217	4.9299
77999869	9287360261302658846450143394743421041	37	122.805	59534460636739395334434109080 2³ × 3⁵ × 5 × 7 × 17 × 283 × 12239 × 14033 × 45377 × 23336543	2012-01-01	45377	23336543	1.796e+9	5.9470	10.745

1 Composite Factors:

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-01	timbit	other					195493151840292702688361 9287360261302658846450143394743421041	61	200.176	-	486.8	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-17	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	1.53837e-5	-	-
2022-06-27	LordJulius	Manual testing	2¹	2⁶⁴		-	-	0.046	-	-
2009-06-08	rudimeier	homer	2⁶⁴	2⁶⁵		-	-	0.048	-	-
2010-12-04	Sid & Andy	Toy_Soldier	2⁶⁵	2⁶⁶		-	-	0.096	-	-
2010-12-07	Sid & Andy	Toy_Soldier	2⁶⁶	2⁶⁷		-	-	0.192	-	-
2010-12-11	kencid99	delljunk	2⁶⁷	2⁶⁸		-	-	0.383	-	-
2010-12-20	kencid99	delljunk	2⁶⁸	2⁶⁹		-	-	0.766	-	-
2010-12-26	musicldiana	musicldiana	2⁶⁹	2⁷⁰		-	-	1.533	-	-

ECM factoring results:
No ECM results for M77999869

Lucas-Lehmer results:
No L-L results for M77999869

PRP results:
No PRP results for M77999869

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

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵³

this exponent TF target: 75

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

Last modified: 2023-03-25T13:08:14+00:00