M1161691 Mersenne number exponent details

is 2 ^1161691 - 1

has 349704 decimal digits

takes 0.036 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	2⁶⁷	25.5782	68.6567%	15000000	500000000	1.8420	11.0011%	27.4202	72.1048%	3.4481%
PrimeNet	2⁵⁶	0.0083	62.5000%	5000	80000	0.0004	2.2549%	0.0087	63.3456%	0.8456%
GPU72	2⁶⁰	0.1322	65.0000%	5000	26000	0.0003	0.7727%	0.1325	65.2704%	0.2704%
Difference	+7	+25.4459	+3.6567%	+14995000	+499974000	+1.8417	+10.2284%	+27.2877	+6.8344%	+6.8344%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1161691	738885689621523297348793351	27	89.255	318021612296868658425 3 × 5² × 13² × 31 × 9377 × 86314360493	2018-06-01	9377	86314360493	174,847,312	209.11	390.56
1161691	114340359274197430614279044737	30	96.529	49212897093201819853248 2⁶ × 3 × 180731 × 4464371 × 317676269	2018-01-15	4464371	317676269	2.759e+10	0.9573	1.4374

exponent	prime factors	composite factor	digits	bits*
1161691	738885689621523297348793351 114340359274197430614279044737	84484455213888105557606136378866765615495114351897 143687	56	185.785

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-16T00:00:00	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	4.44667e-5	-	-	0.005%
2002-06-09T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.005	-	-	1.745%
2012-02-05T09:15:00	markr	tiny	500000	10000000		-		-	-	0.045	-	-	4.432%
2016-04-07T02:13:03	Jocelyn Larouche	Manual testing	3173906	57130308	12	-		-	-	0.272	-	-	7.256%
2018-01-15T16:22:07	mikr	Colorovo	15000000	500000000	12		114340359274197430614279044737	30	96.529	1.842	0.071	3.684	11.001%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.008	-	-
2001-11-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-05-04T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.033	-	-
2016-02-23T16:28:23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.099	-	-
2009-02-15T19:03:00	Sturle Sunde	bruckner.ifi	2⁶⁰	2⁶¹		-	-	0.132	-	-
2011-05-09T14:45:00	Xyzzy	Manual testing	2⁶¹	2⁶²		-	-	0.264	-	-
2012-10-11T11:55:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.845	-	-
2014-12-31T09:44:00	Matthias Wurtinger	Manual testing	2⁶³	2⁶⁴		-	-	1.690	-	-
2015-01-09T08:14:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	3.216	-	-
2015-09-17T03:04:00	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	6.433	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.387 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	18.387 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.731	0.000%
25	50000	1.349	25.941%
30	250000	0.108	89.793%
35	1000000	0.007	99.295%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		246	9.028
50000	5000000	738885689621523297348793351	35	1.285
250000	25000000		44	8.074

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-11T06:59:00	Chad Davis	Bayes	50000	5000000						1	0.037
2008-06-21T15:43:00	Sturle Sunde	v21	50000	5000000						3	0.110
2009-01-08T01:00:00	Sturle Sunde	v21	50000	5000000						3	0.110
2009-06-07T22:16:00	Lukasz Wrobel	WORKER-1	50000	5000000						3	0.110
2009-09-16T19:01:00	SubPrime	c2d0	50000	5000000						3	0.110
2010-01-08T21:16:00	Geoff Wing	GW1	50000	5000000						3	0.110
2010-07-13T02:02:00	unconnected	xp-lm	50000	5000000						3	0.110
2011-03-02T08:04:00	greensinoz	giopa01	50000	5000000						3	0.110
2011-11-18T15:13:00	Andriy Makukha	freehost	50000	5000000						3	0.110
2012-07-24T15:15:00	soldake		50000	5000000						3	0.110
2013-02-22T13:06:00	ANONYMOUS	tdm1-td	50000	5000000						3	0.110
2013-10-22T02:30:00	jim f in mn	asus	50000	5000000						3	0.110
2014-03-01T08:51:00	Bruce	snowflake	50000	5000000						3	0.110
2014-03-09T17:05:00	Bruce	snowflake	50000	5000000						3	0.110
2014-09-05T00:43:00	swildner	collider	50000	5000000						3	0.110
2015-03-07T12:39:00	Bruce	desk16	50000	5000000						3	0.110
2015-05-24T05:52:00	OS1	Tina	50000	5000000						3	0.110
2015-09-17T15:00:00	arnaud	CHAMOT06	50000	5000000						3	0.110
2015-11-25T08:34:22	OS1	Tina	50000	5000000						3	0.110
2016-03-06T07:19:47	Mathematicae KUHMANN	GIMPS-08	50000	5000000						3	0.110
2016-04-05T11:38:14	raman22feb1988	Suganya	50000	5000000						3	0.110
2016-05-02T11:47:45	Jason U	Dell-Win7	50000	5000000						3	0.110
2016-06-03T14:41:01	raman22feb1988	Sri_Sridhar	50000	5000000						3	0.110
2016-07-29T11:13:36	raman22feb1988	Alex_Pandian	50000	5000000						3	0.110
2016-11-13T11:34:34	Bruce	Desk9	50000	5000000						3	0.110
2017-03-23T15:46:41	OS1	Tina	50000	5000000						3	0.110
2017-07-17T05:20:54	OS1	Tina	50000	5000000						3	0.110
2017-08-25T10:19:17	TJAOI	Manual testing	50000	5000000						64	2.349
2018-06-01T11:32:54	TJAOI	Manual testing	50000	5000000	738885689621523297348793351	89.255	35	2		35	1.285
2018-06-01T11:32:54	TJAOI	Manual testing	50000	5000000						103	3.780
2021-02-19T17:09:05	TJAOI	Manual testing	250000	25000000						44	8.074

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-07-27T00:00:00	Ethan O'Connor	v4_computers	1D930FD49B9043F4	0.036
2016-06-01T18:49:07	MadPoo	Manual testing	1D930FD49B9043F4	0.036

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-16T02:04:14

ANONYMOUS

114340359274197430614279044737

8BCC67D22BC75A__

2018-01-21T07:08:53

Oliver Kruse

GTX-5

114340359274197430614279044737

8BCC67D22BC75A__

2018-06-01T15:42:01

axn

738885689621523297348793351

114340359274197430614279044737

8BCC67D22BC75A__

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 = 15000000, B2 = 500000000 (P-1 stage 2)

B1 = 15000000 (P-1 stage 1)

B1 = 3173906, B2 = 57130308 (P-1 stage 2)

B1 = 3173906 (P-1 stage 1)

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

B1 = 500000 (P-1 stage 1)

B1 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-02-19T17:09:05+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