M75565537 Mersenne number exponent details

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M75565537

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is 2 ^75565537 - 1

has 22747494 decimal digits

takes 208.916 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	2⁷⁵	101.2619	64.0000%	625000	625000	2.5055	1.5098%	103.7674	64.5435%	0.5435%
PrimeNet	2⁷⁰	3.1622	61.4286%	320000	14000000	4.2707	5.5625%	7.4329	63.5741%	2.1455%
GPU72	2⁷⁴	50.6298	63.5135%	500000	18000000	5.8266	4.1868%	56.4564	65.0411%	1.5276%
Difference	+1	+50.6321	+0.4865%	+125000	-17375000	-3.3211	-2.6771%	+47.3110	-0.4976%	-0.4976%

Known prime factors (1 factor, 106.9 bits, 0.00014143% 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
75565537	148893459288809851942730148146257	33	106.876	985194211541233750133544 2³ × 3⁵ × 17 × 67 × 373 × 14683 × 277691 × 292561	2016-03-25	277691	292561	2.365e+9	1.1165	2.2656

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-25T19:20:11	Jwb52z	Clay	625000	625000			148893459288809851942730148146257	33	106.876	2.506	417.8	5.011	1.510%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-01-27T00:00:00	Marzbug	v4_computers	2¹	2⁶³		-	-	0.021	-	-
2004-09-02T00:00:00	Marzbug	v4_computers	2¹	2⁶⁵		-	-	0.097	-	-
2010-07-29T14:50:00	Ton van der Wouden	leiden	2⁶⁵	2⁶⁶		-	-	0.099	-	-
2010-08-09T02:06:00	Net_Force	Butterfly	2⁶⁶	2⁶⁷		-	-	0.198	-	-
2010-11-21T00:28:00	arnaud	SRV-240	2⁶⁷	2⁶⁸		-	-	0.396	-	-
2010-11-27T05:41:00	arnaud	SRV-240	2⁶⁸	2⁶⁹		-	-	0.791	-	-
2013-05-20T00:14:00	PascalBieri	Pascal2	2⁶⁹	2⁷⁰		-	-	1.582	-	-
2013-11-04T23:28:00	Mark Filipski	2	2⁷⁰	2⁷¹		-	-	3.165	-	-
2015-09-06T11:45:00	Judge Hale	Manual testing	2⁷¹	2⁷²		-	-	6.329	-	-
2016-02-13T22:50:03	Judge Hale	Manual testing	2⁷²	2⁷³		-	-	12.66	-	-
2016-03-24T01:20:00	1997rj7	Manual testing	2⁷³	2⁷⁴		-	-	25.32	-	-
2016-03-24T01:20:00	1997rj7	Manual testing	2⁷⁴	2⁷⁵		-	-	50.63	-	-

ECM factoring results:
No ECM results for M75565537

Lucas-Lehmer results:
No L-L results for M75565537

PRP results:
No PRP results for M75565537

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 = 625000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

Last modified: 2016-03-25T19:20:11+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