M60165101 Mersenne number exponent details

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M60165101

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is 2 ^60165101 - 1

has 18111501 decimal digits

takes 133.658 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	31.7933	64.3836%	560000	10640000	3.5729	4.1081%	35.3662	65.8467%	1.4632%
PrimeNet	2⁶⁹	1.9843	62.3188%	260000	12000000	2.8979	5.6527%	4.8822	64.4489%	2.1300%
GPU72	2⁷³	31.7933	64.3836%	400000	14000000	3.6753	4.1544%	35.4685	65.8632%	1.4797%
Difference	-	-	-	+160000	-3360000	-0.1024	-0.0464%	-0.1024	-0.0165%	-0.0165%

Known prime factors (1 factor, 73.8 bits, 0.00012264% 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
60165101	16306920507796446029681	23	73.788	135518101330840 2³ × 5 × 37 × 43 × 691 × 3081691	2013-01-03	691	3081691	63.039	0.5429	1.0101

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-01-03T18:29:00	Jwb52z	Clay	560000	10640000			16306920507796446029681	23	73.788	3.573	267.3	7.146	4.108%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-13T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2022-03-29T18:52:39	LordJulius	Manual testing	2⁶⁰	2⁶³		-	-	0.024	-	-
2008-11-29T21:21:00	Phantomas	JTAMD-Geode	2⁶³	2⁶⁴		-	-	0.033	-	-
2009-01-18T23:41:00	Sturle Sunde	celair.ifi	2⁶⁴	2⁶⁵		-	-	0.062	-	-
2009-02-08T04:01:00	Carlos Enrique Iorio	Equipo_principal	2⁶⁵	2⁶⁶		-	-	0.124	-	-
2009-02-24T12:51:00	Hazmattom	Dell_1000	2⁶⁶	2⁶⁷		-	-	0.248	-	-
2009-02-25T12:06:00	emphasis	server	2⁶⁷	2⁶⁸		-	-	0.497	-	-
2009-06-25T12:58:00	ITS	DenKnee	2⁶⁸	2⁶⁹		-	-	0.994	-	-
2011-07-10T15:15:00	David Campeau	Manual testing	2⁶⁹	2⁷⁰		-	-	1.987	-	-
2012-06-27T18:15:00	Serge Batalov	Manual testing	2⁷⁰	2⁷¹		-	-	3.975	-	-
2012-11-22T16:32:00	Jerry Hallett	Manual testing	2⁷¹	2⁷³		-	-	23.85	-	-

ECM factoring results:
No ECM results for M60165101

Lucas-Lehmer results:
No L-L results for M60165101

PRP results:
No PRP results for M60165101

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 = 560000, B2 = 10640000 (P-1 stage 2)

B1 = 560000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-29T18:52:39+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