M1997693 Mersenne number exponent details

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M1997693

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>>>

is 2 ^1997693 - 1

has 601366 decimal digits

takes 0.131 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	ED2484E291FF904E	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	2⁷¹	239.3152	70.4225%	1997693	249711625	1.4771	6.6379%	240.7923	72.3859%	1.9633%
PrimeNet	2⁵⁸	0.0192	63.7931%	8000	140000	0.0014	2.4783%	0.0207	64.6904%	0.8973%
GPU72	2⁶²	0.3075	66.1290%	8000	110000	0.0013	1.2363%	0.3088	66.5478%	0.4188%
Difference	+9	+239.0077	+4.2935%	+1989693	+249601625	+1.4759	+5.4016%	+240.4835	+5.8381%	+5.8381%

Known prime factors (1 factor, 74.6 bits, 0.00373656% 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
1997693	29537618310414754565479	23	74.645	7392932325040623 3 × 67 × 36780757836023	2019-12-18	67	36780757836023	3,533.1	191,048	356,825

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-06-30T05:46:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	4.328%
2018-01-28T11:49:27	Jocelyn Larouche	low 4M	1216588	1216588		-		-	-	0.116	-	-	1.856%
2018-01-30T12:55:33	Jocelyn Larouche	low 4M	1997693	30000000	12	-		-	-	0.336	-	-	4.655%
2018-02-16T12:53:18	Jocelyn Larouche	low 4M	1997693	60000000	12	-		-	-	0.492	-	-	5.293%
2018-03-09T12:48:31	Jocelyn Larouche	low 4M	1997693	120000000	12	-		-	-	0.803	-	-	5.941%
2018-05-09T11:54:06	Jocelyn Larouche	low 4M	1997693	199769300	12	-		-	-	1.218	-	-	6.424%
2018-11-26T12:53:47	Jocelyn Larouche	Manual testing	1997693	249711625	12	-		-	-	1.477	-	-	6.638%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-01-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.058	-	-
2009-04-17T14:05:00	Rob_Dee	twopc	2⁶⁰	2⁶¹		-	-	0.077	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2¹	2⁶²		-	-	0.308	-	-
2016-02-23T16:29:02	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.154	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2⁶²	2⁶³		-	-	0.491	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2⁶³	2⁶⁴		-	-	0.983	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2⁶⁴	2⁶⁵		-	-	1.870	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	3.741	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	7.481	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	14.96	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	29.93	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	59.85	-	-
2015-10-18T15:17:03	ramgeis	Manual testing	2⁷⁰	2⁷¹		-	-	119.7	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	4.059 GHz-days
Estimated T-Level:	2.400

Digits	B1	Curves	Complete	FacMiss
20	11000	48 / 100	0.480	61.729%
25	50000	48 / 280	0.171	84.220%

New Calculation Method

Total ECM effort:	4.059 GHz-days
Estimated T-Level:	2.400

Digits	B1	Complete	FacMiss
20	11000	1.846	15.784%
25	50000	0.171	84.297%
30	250000	0.011	98.928%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		45	3.806
50000	5000000	29537618310414754565479	3	0.254

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-25T15:21:00	André Härter	Max2	50000	5000000						3	0.254
2009-09-02T16:01:00	James Hintz	09_071509	50000	5000000						3	0.254
2011-07-01T07:23:00	mm	ASW005	50000	5000000						3	0.254
2013-01-01T20:11:00	MadPoo	IntLAVH03	50000	5000000						3	0.254
2014-05-01T22:24:00	Andy Incline	Office-PC	50000	5000000						3	0.254
2015-07-02T12:21:00	OS1	L3	50000	5000000						3	0.254
2016-02-16T11:28:56	Sintax	cloud	50000	5000000						3	0.254
2016-04-08T05:23:37	Bruce	Desk6	50000	5000000						3	0.254
2016-07-12T09:27:45	Bruce	test	50000	5000000						3	0.254
2016-11-18T18:16:26	Bruce	Desk6	50000	5000000						3	0.254
2017-06-16T22:54:16	Bruce	Desk6	50000	5000000						3	0.254
2017-10-29T07:17:56	Bruce	Desk6	50000	5000000						3	0.254
2018-02-23T22:58:06	Bruce	Desk6	50000	5000000						3	0.254
2018-07-26T23:16:19	Bruce	Desk6	50000	5000000						3	0.254
2019-12-15T06:17:48	daveward2005	Davy	50000	5000000						3	0.254
2019-12-18T20:14:36	Corey	Computer	50000	5000000	29537618310414754565479	74.645	3	2		3	0.254

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-05-16T00:00:00	ANONYMOUS	v4_computers	ED2484E291FF904E	0.131
2015-07-12T18:10:00	MadPoo	Manual testing	ED2484E291FF904E	0.131

PRP results:

date

userid

compid

cofactors

res64

PRP

2019-12-19T10:59:07

Niels_Mache_Nextcloud

SuperDry-X

29537618310414754565479

E09F7793580DF6A6

2019-12-22T05:35:31

GAN

KL-SCH05

29537618310414754565479

E09F7793580DF6A6

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 = 1997693, B2 = 249711625 (P-1 stage 2)

B1 = 1997693, B2 = 199769300 (P-1 stage 2)

B1 = 1997693, B2 = 120000000 (P-1 stage 2)

B1 = 1997693, B2 = 60000000 (P-1 stage 2)

B1 = 1997693, B2 = 30000000 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1997693 (P-1 stage 1)

B1 = 1216588 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

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TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-12-22T05:35:31+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