M32148013 Mersenne number exponent details

≡

is 2 ^32148013 - 1

has 9677517 decimal digits

takes 35.385 GHz-days to do one PRP test

Last-known PrimeNet details:
0 L-L tests remaining

	Residue	Status
L-L	98430646C7494F74	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	2⁷⁴	119.0078	66.2162%	500000	15000000	2.0588	3.6354%	121.0667	69.8516%	7.1650%
PrimeNet	2⁶⁷	0.9243	62.6866%	140000	5500000	0.6895	5.0975%	1.6138	67.7841%	5.0975%
GPU72	2⁷¹	14.8712	64.7887%	220000	7000000	0.9407	3.7624%	15.8118	68.5511%	3.7624%
Difference	+3	+104.1367	+1.4275%	+280000	+8000000	+1.1182	-0.1270%	+105.2549	+1.3005%	+1.3005%

Known prime factors (2 factors, 171.4 bits, 0.00053306% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
32148013	13036577178475811829280543	26	83.431	202758677161101867 3 × 13 × 107 × 263 × 168089 × 1099097	168089	1099097	2020-11-20	64,456	0.3492	0.5460
32148013	296554001292665871025982479	27	87.938	4612322405317334403 3 × 31 × 38593 × 451519 × 2846113	451519	2846113	2020-11-20	975,590	0.9288	1.4666

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
32148013	13036577178475811829280543 296554001292665871025982479	38660491254376542948323424923226634533101862936060 97	52	171.369

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2007-02-20T00:00:00	curtisc	v4_computers	475000	475000		-		-	-	0.758	-	-	1.316%
2020-11-20T17:01:59	firejuggler	Maison	500000	15000000	12		13036577178475811829280543 296554001292665871025982479	52	171.369	2.059	70.77	4.118	3.635%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-31T00:00:00	Net_Force	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2006-03-01T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁸		-	-	0.930	-	-
2012-08-29T22:43:00	bcp19	Manual testing	2⁶⁸	2⁶⁹		-	-	1.860	-	-
2012-08-29T22:43:00	bcp19	Manual testing	2⁶⁹	2⁷⁰		-	-	3.719	-	-
2018-04-22T20:56:55	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	7.438	-	-
2019-12-06T23:45:35	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	14.88	-	-
2019-12-06T23:45:35	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	29.75	-	-
2020-03-24T23:49:09	-Anonymous-	Manual testing	2⁷³	2⁷⁴		-	-	59.51	-	-

ECM factoring results:
Exponent "32148013" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2007-03-04T00:00:00	curtisc	v4_computers	98430646C7494F74	35.39
2013-10-18T17:25:00	ANONYMOUS		98430646C7494F74	35.39

PRP results:
Exponent "32148013" not found

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 = 500000, B2 = 15000000 (stage 2)

B1 = 500000 (stage 1)

B1 = 475000 (stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-11-20T17:01:59+00:00