M60465473 Mersenne number exponent details

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M60465473

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is 2 ^60465473 - 1

has 18201922 decimal digits

takes 134.326 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	31.6353	64.3836%	560000	10640000	3.5729	4.1106%	35.2082	65.8476%	1.4640%
PrimeNet	2⁶⁹	1.9745	62.3188%	260000	12000000	2.8979	5.6562%	4.8724	64.4502%	2.1313%
GPU72	2⁷³	31.6353	64.3836%	400000	14000000	3.6753	4.1570%	35.3106	65.8641%	1.4806%
Difference	-	-	-	+160000	-3360000	-0.1024	-0.0464%	-0.1024	-0.0165%	-0.0165%

Known prime factors (1 factor, 83.4 bits, 0.00013795% 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
60465473	12850552559520705957651673	26	83.410	106263557712685932 2² × 3 × 13 × 1031 × 80863 × 8170549	2013-01-14	80863	8170549	62,776	1.6802	2.6782

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-01-14T14:05:00	Jwb52z	Clay	560000	10640000			12850552559520705957651673	26	83.410	3.573	268.7	7.146	4.111%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2022-03-29T18:53:12	LordJulius	Manual testing	2⁶⁰	2⁶³		-	-	0.024	-	-
2009-05-27T16:10:00	markr	rmst	2⁶³	2⁶⁴		-	-	0.032	-	-
2009-09-08T04:08:00	ixfd64	wkchia-ibmlap	2⁶⁴	2⁶⁵		-	-	0.062	-	-
2009-09-13T03:18:00	SAHS Tech Dept	cad14	2⁶⁵	2⁶⁶		-	-	0.124	-	-
2009-11-23T23:07:00	SAHS Tech Dept	cad14	2⁶⁶	2⁶⁷		-	-	0.247	-	-
2009-11-26T10:03:00	James Heinrich	i7-920	2⁶⁷	2⁶⁸		-	-	0.494	-	-
2009-11-29T08:24:00	tmorrow	teapot	2⁶⁸	2⁶⁹		-	-	0.989	-	-
2011-07-12T18:54:00	Tom Duell	Manual testing	2⁶⁹	2⁷⁰		-	-	1.977	-	-
2012-11-14T01:06:00	James Rushworth	C66CA166A	2⁷⁰	2⁷¹		-	-	3.955	-	-
2012-12-20T19:01:00	AntonioK	Manual testing	2⁷¹	2⁷³		-	-	23.73	-	-

ECM factoring results:
No ECM results for M60465473

Lucas-Lehmer results:
No L-L results for M60465473

PRP results:
No PRP results for M60465473

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)

10³

10⁴

10⁵

10⁶

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: 2022-03-29T18:53:12+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