M2532853 Mersenne number exponent details

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M2532853

<<<

>>>

is 2 ^2532853 - 1

has 762465 decimal digits

takes 0.176 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	0C22C09BC51009B6	double-checked
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	2⁶⁷	11.7314	67.1642%	3000000	273000000	1.7812	9.8619%	13.5126	70.4024%	3.2382%
PrimeNet	2⁵⁹	0.0303	62.7119%	11000	190000	0.0021	2.6454%	0.0324	63.6983%	0.9864%
GPU72	2⁶³	0.6301	65.0794%	11000	180000	0.0020	1.4353%	0.6322	65.5806%	0.5012%
Difference	+4	+11.1013	+2.0848%	+2989000	+272820000	+1.7792	+8.4266%	+12.8804	+4.8218%	+4.8218%

Known prime factors (1 factor, 67.4 bits, 0.00266179% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2532853	197322592464877214207	21	67.419	38952634137251 38952634137251	2015-08-04	1	38952634137251	15.438	213,442	398,650

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-23T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.292%
2003-11-08T00:00:00	Team Prime Rib	v4_computers	15000	198750		-		-	-	0.003	-	-	0.883%
2010-12-19T21:42:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.315%
2011-01-02T14:09:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.432%
2011-01-06T23:25:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.005	-	-	0.619%
2011-03-23T07:28:00	James Heinrich	WHS	300000	8000000		-		-	-	0.072	-	-	4.383%
2019-07-04T12:39:55	alpertron	Manual testing	2000000	60000000	12	-		-	-	0.519	-	-	7.657%
2021-09-27T21:05:25	Dylan Delgado	laptop-i78750	3000000	273000000		-		-	-	1.781	-	-	9.862%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-08-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.030	-	-
2022-03-11T02:04:57	LordJulius	Manual testing	2¹	2⁶⁰		-	-	0.061	-	-
2009-04-09T23:40:00	Rob_Dee	twopc	2⁶⁰	2⁶¹		-	-	0.061	-	-
2012-06-14T13:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.121	-	-
2013-01-14T11:53:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.388	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.775	-	-
2015-02-23T17:24:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.475	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.290 GHz-days
Estimated T-Level:	0.700

Digits	B1	Curves	Complete	FacMiss
20	11000	14 / 100	0.140	86.875%
25	50000	14 / 280	0.050	95.114%

New Calculation Method

Total ECM effort:	1.290 GHz-days
Estimated T-Level:	0.700

Digits	B1	Complete	FacMiss
20	11000	0.452	63.660%
25	50000	0.041	96.001%
30	250000	0.003	99.749%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		12	1.105
50000	5000000	197322592464877214207	2	0.184

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-12T14:57:00	Smurgs	Praca	50000	5000000						3	0.276
2010-04-23T03:06:00	kmd	Athena	50000	5000000						3	0.276
2012-09-19T12:05:00	Lukasz Wrobel	i-1	50000	5000000						3	0.276
2014-03-22T17:20:00	greg3ll	workpc	50000	5000000						3	0.276
2015-08-04T01:54:00	guru	w6	50000	5000000	197322592464877214207	67.419	2	2		2	0.184

Lucas-Lehmer results:
No L-L results for M2532853

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-15T22:01:35

kkmrkkblmbrbk

c4.xlarge

197322592464877214207

28EA5978B61EDD__

2017-11-08T21:16:36

Oliver Kruse

GTX-3

197322592464877214207

28EA5978B61EDD__

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 = 3000000, B2 = 273000000 (P-1 stage 2)

B1 = 2000000, B2 = 60000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 2000000 (P-1 stage 1)

B1 = 300000, B2 = 8000000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000, B2 = 198750 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

2⁶⁷

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-11T02:04:57+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