M1093969 Mersenne number exponent details

is 2 ^1093969 - 1

has 329318 decimal digits

takes 0.032 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁰	218.4254	70.0000%	300000	10000000	0.0356	3.0030%	218.4610	70.9009%	0.9009%
PrimeNet	2⁵⁶	0.0088	62.5000%	4500	65000	0.0003	2.0253%	0.0091	63.2595%	0.7595%
GPU72	2⁶⁰	0.1404	65.0000%	4500	22000	0.0002	0.6828%	0.1406	65.2390%	0.2390%
Difference	+10	+218.2850	+5.0000%	+295500	+9978000	+0.0354	+2.3202%	+218.3204	+5.6619%	+5.6619%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1093969	92035988631706058976007	23	76.285	42065172153738387 3² × 83 × 4429531 × 12712891	2018-03-30	4429531	12712891	18,068	0.2098	0.3874
1093969	1178139925523180132415391	25	79.963	538470434501882655 3 × 5 × 17 × 23 × 75913 × 1209421519	2014-03-13	75913	1209421519	179,139	2.8349	5.2891

exponent	prime factors	composite factor	digits	bits*
1093969	92035988631706058976007 1178139925523180132415391	108431272792010429663355860453455138637026523737	48	156.247

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-08T00:00:00	Jocelyn Larouche	v4_computers	10000	77500		-		-	-	0.001	-	-	0.268%
2012-01-02T21:41:00	bcp19	Toshiba-740Q	200000	10000000		-		-	-	0.032	-	-	2.784%
unknown			300000	10000000		-		-	-	0.036	-	-	3.003%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-12-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.018	-	-
2022-03-07T01:57:42	firejuggler	Manual testing	2⁵⁷	2⁶⁰		-	-	0.123	-	-
2022-03-07T17:30:49	LordJulius	Manual testing	2⁵⁷	2⁶⁰		-	-	0.123	-	-
2009-02-16T17:47:00	Sturle Sunde	gigotte.ifi	2⁶⁰	2⁶¹		-	-	0.140	-	-
2010-11-18T20:16:00	Michael C	Manual testing	2⁶¹	2⁶²		-	-	0.281	-	-
2012-10-29T08:41:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.897	-	-
2013-05-16T19:19:00	Never Odd Or Even	Manual testing	2⁶³	2⁶⁴		-	-	1.795	-	-
2013-09-03T20:22:00	David Campeau	Manual testing	2⁶⁴	2⁶⁵		-	-	3.415	-	-
2013-12-16T09:27:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	6.831	-	-
2013-12-16T09:27:00	ramgeis	Manual testing	2⁶⁶	2⁶⁷		-	-	13.66	-	-
2013-12-16T09:27:00	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	27.32	-	-
2013-12-16T09:27:00	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	54.65	-	-
2013-12-16T09:27:00	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	109.3	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.516 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	322 / 100	3.220	3.931%
25	50000	322 / 280	1.150	31.599%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	17.516 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.634	0.000%
25	50000	1.341	26.168%
30	250000	0.107	89.841%
35	1000000	0.007	99.298%

ECM Summary

B1	B2	factor	curves	GHz-days
		1178139925523180132415391	1	0.00000e+0
50000	5000000		246	8.653
50000	5000000	92035988631706058976007	32	1.126
250000	25000000		44	7.738

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-01T02:46:00	Chad Davis	Bayes	50000	5000000						1	0.035
2008-03-29T21:37:00	Scott Kurowski	HomeOffice	50000	5000000						3	0.106
2008-12-11T01:59:00	Sturle Sunde	v21	50000	5000000						3	0.106
2009-04-07T20:58:00	James Hintz	13_060209	50000	5000000						3	0.106
2009-09-01T13:41:00	SubPrime	c2d0	50000	5000000						3	0.106
2009-11-19T23:24:00	SubPrime	c2d0	50000	5000000						3	0.106
2010-04-17T04:51:00	sannerud.com	snap1	50000	5000000						3	0.106
2010-12-26T11:29:00	arnaud	Arnaud-PC	50000	5000000						3	0.106
2011-09-10T09:09:00	unconnected	can-01	50000	5000000						3	0.106
2012-02-26T19:15:00	Pool Party	sts	50000	5000000						3	0.106
2012-08-24T17:24:00	soldake		50000	5000000						3	0.106
2013-02-28T15:53:00	Pool Party	sts	50000	5000000						3	0.106
2013-07-20T16:25:00	561	561	50000	5000000						3	0.106
2013-10-01T15:08:00	561	561	50000	5000000						3	0.106
2014-03-13T10:38:00	Bruce	snowflake			1178139925523180132415391	79.963		1		1	-
2017-06-30T19:47:49	TJAOI	Manual testing	50000	5000000						97	3.412
2018-03-30T09:14:11	TJAOI	Manual testing	50000	5000000	92035988631706058976007	76.285	32	2		32	1.126
2018-03-30T09:14:11	TJAOI	Manual testing	50000	5000000						109	3.834
2020-08-07T11:04:49	TJAOI	Manual testing	250000	25000000						44	7.738

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-03-31T00:00:00	ANONYMOUS	v4_computers	D6AC252A634C9610	0.032

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-29T01:00:40

Oliver Kruse

GTX-2

1178139925523180132415391

A40BF769EBF7AA__

2017-10-16T11:14:28

Oliver Kruse

Threadripper

1178139925523180132415391

A40BF769EBF7AA__

2017-12-31T09:11:34

ATH

ec2-1xf

1178139925523180132415391

A40BF769EBF7AA__

2018-03-31T03:48:33

Chang Chia-Tche

homura

92035988631706058976007

1178139925523180132415391

909099EDA95ADC__

2018-03-31T16:52:49

kkmrkkblmbrbk

c5.xlarge

92035988631706058976007

1178139925523180132415391

909099EDA95ADC__

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 = 300000, B2 = 10000000 (P-1 stage 2)

B1 = 200000, B2 = 10000000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 200000 (P-1 stage 1)

B1 = 10000, B2 = 77500 (P-1 stage 2)

B1 = 10000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-07T17:30:49+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