M3465799 Mersenne number exponent details

≡

M3465799

<<<

>>>

is 2 ^3465799 - 1

has 1043310 decimal digits

takes 0.364 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	-unknown-	-unknown-
PRP	38434C5900A493FD	verified PRP

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁹	34.4471	68.1159%	20000000	1000000000	11.1771	11.6159%	45.6242	71.8196%	3.7036%
PrimeNet	2⁶⁰	0.0443	63.3333%	15000	280000	0.0045	2.9037%	0.0488	64.3980%	1.0647%
GPU72	2⁶⁴	1.0270	65.6250%	19000	360000	0.0057	1.8854%	1.0327	66.2731%	0.6481%
Difference	+5	+33.4201	+2.4909%	+19981000	+999640000	+11.1713	+9.7306%	+44.5915	+5.5465%	+5.5465%

Known prime factors (1 factor, 69.1 bits, 0.00199373% 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
3465799	632107062299133292273	21	69.099	91192112165064 2³ × 3 × 3799671340211	2021-07-01	8	3799671340211	57.924	31,527	58,883

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-06T11:15:00	Carsten Kossendey	leela	20000	235000		-		-	-	0.005	-	-	0.806%
2011-11-09T09:18:00	harlee	P4_2600	60000	990000		-		-	-	0.017	-	-	1.687%
2014-07-28T22:41:00	Jocelyn Larouche	Manual testing	78519	78519		-		-	-	0.012	-	-	0.653%
2014-09-24T04:08:00	HBendtz	HAL9007	500000	10000000		-		-	-	0.155	-	-	4.165%
2021-03-16T11:48:45	axn	Manual testing	20000000	1000000000		-		-	-	11.18	-	-	11.616%
2022-01-21T19:39:06	Jocelyn Larouche	Manual testing	1000000	114656850		-		-	-	1.095	-	-	6.896%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:30	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.044	-	-
2009-03-20T18:24:00	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.044	-	-
2011-07-26T06:44:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.089	-	-
2012-08-18T15:35:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.461	-	-
2016-02-23T16:29:30	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.283	-	-
2015-02-07T18:04:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.566	-	-
2015-02-07T18:04:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.078	-	-
2016-01-04T09:40:08	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.156	-	-
2017-02-10T15:33:25	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.312	-	-
2019-02-11T13:34:45	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	8.625	-	-
2021-01-08T01:59:27	axn	Manual testing	2⁶⁸	2⁶⁹		-	-	17.25	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	4.561 GHz-days
Estimated T-Level:	1.550

Digits	B1	Curves	Complete	FacMiss
20	11000	31 / 100	0.310	73.230%
25	50000	31 / 280	0.111	89.502%

New Calculation Method

Total ECM effort:	4.561 GHz-days
Estimated T-Level:	1.550

Digits	B1	Complete	FacMiss
20	11000	1.000	36.788%
25	50000	0.090	91.358%
30	250000	0.006	99.445%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		29	4.267
50000	5000000	632107062299133292273	2	0.294

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-07-12T16:16:00	sasaki3	ssk_saver	50000	5000000						3	0.441
2012-02-11T12:29:00	oodaira	Linux01	50000	5000000						3	0.441
2015-03-30T12:55:00	Scott Bennett	hellas	50000	5000000						3	0.441
2016-12-31T08:35:54	Sid & Andy	Mrs_Potato_Head	50000	5000000						3	0.441
2019-06-18T21:33:57	furkell	furkell1	50000	5000000						3	0.441
2021-04-02T17:28:57	GAN	KL-SCH09	50000	5000000						7	1.030
2021-05-23T11:06:12	RIHATEC	i7-3770K	50000	5000000						7	1.030
2021-07-01T13:01:48	daveward2005	d12436	50000	5000000	632107062299133292273	69.099	2	2	8855696054247991	2	0.294

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-09-30T00:00:00	ANONYMOUS	v4_computers	27DA5F8F51BB46__	0.364

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-07-02T10:06:52

tottenhoff

2018pc

632107062299133292273

38434C5900A493FD

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 = 20000000, B2 = 1000000000 (P-1 stage 2)

B1 = 20000000 (P-1 stage 1)

B1 = 1000000, B2 = 114656850 (P-1 stage 2)

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 60000, B2 = 990000 (P-1 stage 2)

B1 = 78519 (P-1 stage 1)

B1 = 60000 (P-1 stage 1)

B1 = 20000, B2 = 235000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-01-21T19:39:06+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