M535663 Mersenne number exponent details

is 2 ⁵³⁵⁶⁶³ - 1

has 161251 decimal digits

takes 0.008 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	55.4713	70.1493%	1500000	50000000	0.0876	6.1453%	55.5589	71.9837%	1.8344%
PrimeNet	2⁴⁰	0.0000	50.0000%	5000	180000	0.0003	19.4182%	0.0003	59.7091%	9.7091%
GPU72	2⁴⁴	0.0000	54.5455%	9000	300000	0.0005	14.6440%	0.0005	61.2018%	6.6564%
Difference	+23	+55.4713	+15.6038%	+1491000	+49700000	+0.0871	-8.4987%	+55.5584	+10.7818%	+10.7818%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
535663	147263710900283295768253411583	30	96.894	137459289609589700771057 13² × 293 × 4266527 × 650646760523	2014-03-29	4266527	650646760523	4.719e+10	749.68	1,400.0

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-22T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.181%
2002-01-22T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.392%
2002-03-03T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.001	-	-	0.717%
2002-04-28T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	1.176%
2002-05-11T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.002	-	-	1.527%
2002-06-23T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.004	-	-	1.779%
2002-09-07T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.522%
2003-05-11T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	3.393%
2011-06-12T13:06:00	Jocelyn Larouche	Manual testing	400000	400000		-		-	-	0.008	-	-	1.496%
2011-06-26T19:17:00	Jocelyn Larouche	Manual testing	447816	447816		-		-	-	0.009	-	-	1.576%
2011-07-26T07:33:00	Jocelyn Larouche	Manual testing	746361	746361		-		-	-	0.016	-	-	1.970%
2011-09-24T18:59:00	Jocelyn Larouche	Manual testing	1492722	1492722		-		-	-	0.032	-	-	2.586%
2016-03-16T12:41:10	alpertron	Manual testing	1500000	50000000	12	-		-	-	0.088	-	-	6.145%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-03-22T00:00:00	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.002	-	-
2022-03-07T08:26:44	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.004	-	-
2001-04-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.018	-	-
2002-01-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.036	-	-
2003-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.072	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.126 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	424 / 100	4.240	1.410%
25	50000	424 / 280	1.514	21.937%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	16.126 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	21.032	0.000%
25	50000	2.551	7.798%
30	250000	0.238	78.858%
35	1000000	0.018	98.228%
40	3000000	0.001	99.887%

ECM Summary

B1	B2	factor	curves	GHz-days
		147263710900283295768253411583	1	0.00000e+0
50000	5000000		280	4.515
250000	25000000		144	11.61

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-18T22:21:00	Chad Davis	Bayes	50000	5000000						1	0.016
2007-09-21T04:30:00	Chad Davis	Bayes	50000	5000000						1	0.016
2008-01-14T18:43:00	Scott Kurowski	v5_node.1	50000	5000000						3	0.048
2008-06-13T20:08:00	Sturle Sunde	v17	50000	5000000						3	0.048
2008-10-15T19:48:00	Sturle Sunde	v21	50000	5000000						3	0.048
2008-12-12T18:19:00	Sturle Sunde	v21	50000	5000000						3	0.048
2009-03-03T00:15:00	Sturle Sunde	v22	50000	5000000						3	0.048
2009-03-31T16:26:00	Ryan Schulz	T7400	50000	5000000						3	0.048
2009-06-15T13:53:00	JPH	diablo	50000	5000000						3	0.048
2009-07-08T23:59:00	Architects Cubed	m1_75	50000	5000000						3	0.048
2009-07-26T22:51:00	Architects Cubed	m1_15	50000	5000000						3	0.048
2009-09-08T09:48:00	JimBa	CIT3srvr	50000	5000000						3	0.048
2009-10-03T02:18:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2009-10-24T03:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2009-11-08T20:05:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2009-11-27T06:36:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2009-12-16T02:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-01-04T21:27:00	James Hintz	03_122109	50000	5000000						3	0.048
2010-01-21T20:16:00	James Hintz	13_122109	50000	5000000						3	0.048
2010-02-04T04:00:00	James Hintz	03_122109	50000	5000000						3	0.048
2010-02-18T19:46:00	Sturle Sunde	v26	50000	5000000						3	0.048
2010-03-10T17:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-03-26T18:17:00	Sturle Sunde	PRE6S24JYHZX4PA	50000	5000000						3	0.048
2010-04-10T21:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-04-26T19:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-05-13T16:12:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.048
2010-05-29T20:04:00	Sturle Sunde	PRECZC44710WB	50000	5000000						3	0.048
2010-06-18T17:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-07-13T21:35:00	Sturle Sunde	PRE6S2CKN9ZD4EE	50000	5000000						3	0.048
2010-08-07T14:50:00	James Hintz	06_122109	50000	5000000						3	0.048
2010-08-28T01:50:00	sannerud.com	Jim2010	50000	5000000						3	0.048
2010-09-12T04:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-09-28T00:46:00	sannerud.com	Jim2010	50000	5000000						3	0.048
2010-10-13T00:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-10-25T21:29:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.048
2010-11-07T18:30:00	sannerud.com	Jim2010	50000	5000000						3	0.048
2010-11-26T03:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-12-07T17:22:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2010-12-20T22:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-01-06T21:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-01-18T20:39:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-01-31T04:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-02-15T18:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-02-24T18:39:00	fireredd	ont1	50000	5000000						3	0.048
2011-03-10T18:19:00	James Hintz	06_122109	50000	5000000						3	0.048
2011-03-21T04:36:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-04-06T18:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-04-27T21:34:00	James Hintz	06_122109	50000	5000000						3	0.048
2011-05-13T19:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-05-27T19:25:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-06-10T23:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-07-05T19:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-07-27T19:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-08-22T15:12:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-10-13T03:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2011-12-04T00:15:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2012-01-20T04:14:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.048
2012-03-02T20:41:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.048
2012-04-29T17:23:00	Sturle Sunde	TOR-ST-0035	50000	5000000						3	0.048
2012-06-30T05:11:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.048
2012-09-04T18:09:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.048
2013-01-16T20:19:00	HVer	dell	50000	5000000						3	0.048
2013-11-06T15:00:00	Lukasz Wrobel	v7	50000	5000000						3	0.048
2013-12-02T05:50:00	Bruce	bfc-ws	50000	5000000						3	0.048
2014-03-29T15:39:00	Bruce	snowflake			147263710900283295768253411583	96.894		1		1	-
2016-04-22T16:24:50	TJAOI	Manual testing	50000	5000000						1	0.016
2016-09-23T16:22:33	TJAOI	Manual testing	50000	5000000						91	1.467
2018-04-13T12:46:19	TJAOI	Manual testing	250000	25000000						44	3.548
2020-09-25T08:53:22	TJAOI	Manual testing	250000	25000000						100	8.063

Lucas-Lehmer results:
No L-L results for M535663

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27T10:22:53

Oliver Kruse

GTX-3

147263710900283295768253411583

F70C461E3888C8__

2017-09-28T09:42:52

Oliver Kruse

Manual testing

147263710900283295768253411583

F70C461E3888C8__

2017-11-07T08:34:45

kkmrkkblmbrbk

c4.xlarge

147263710900283295768253411583

F70C461E3888C8__

2020-04-19T04:09:03

Oliver Kruse

AddPrpType5

147263710900283295768253411583

9B13073E1A937A__

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 = 1500000, B2 = 50000000 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

B1 = 1492722 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 746361 (P-1 stage 1)

B1 = 447816 (P-1 stage 1)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

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

B1 = 65536 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁶⁷

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁵

2⁵⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-07T08:26:44+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