M61040963 Mersenne number exponent details

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M61040963

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is 2 ^61040963 - 1

has 18375161 decimal digits

takes 143.390 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	2⁷³	31.3371	64.3836%	575000	10781250	3.8526	4.1390%	35.1896	65.8577%	1.4742%
PrimeNet	2⁷⁰	3.9146	62.8571%	260000	12000000	3.0643	5.1326%	6.9789	64.7635%	1.9064%
GPU72	2⁷⁴	62.6770	64.8649%	400000	13000000	3.7007	3.7144%	66.3778	66.1699%	1.3051%
Difference	-1	-31.3400	-0.4813%	+175000	-2218750	+0.1519	+0.4246%	-31.1881	-0.3122%	-0.3122%

Known prime factors (1 factor, 76.4 bits, 0.00012510% 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
61040963	97261902838442424134951	23	76.364	796693712371825 5² × 149 × 281 × 557 × 1366481	2013-04-06	557	1366481	353.01	0.2554	0.4736

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-04-06T07:04:00	Jwb52z	Clay	575000	10781250			97261902838442424134951	23	76.364	3.853	286.8	7.705	4.139%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-06-06T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2003-10-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2004-04-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.010	-	-
2022-03-29T20:51:01	LordJulius	Manual testing	2⁶²	2⁶³		-	-	0.016	-	-
2009-02-25T19:38:00	jpineda	dck185d1	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-02-26T21:01:00	ANONYMOUS	quad	2⁶⁴	2⁶⁵		-	-	0.061	-	-
2009-03-07T09:10:00	nailsss	pentium2_8ghxb	2⁶⁵	2⁶⁶		-	-	0.122	-	-
2009-03-08T09:53:00	oodaira	01	2⁶⁶	2⁶⁷		-	-	0.245	-	-
2009-03-09T13:02:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.490	-	-
2009-07-11T03:30:00	flounders	pc	2⁶⁸	2⁶⁹		-	-	0.979	-	-
2011-11-01T04:54:00	Roy Oswald	Manual testing	2⁶⁹	2⁷⁰		-	-	1.959	-	-
2013-01-14T15:17:00	ktony	Manual testing	2⁷⁰	2⁷³		-	-	27.42	-	-

ECM factoring results:
No ECM results for M61040963

Lucas-Lehmer results:
No L-L results for M61040963

PRP results:
No PRP results for M61040963

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 = 575000, B2 = 10781250 (P-1 stage 2)

B1 = 575000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-29T20:51:01+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