M1997903 Mersenne number exponent details

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M1997903

<<<

>>>

is 2 ^1997903 - 1

has 601429 decimal digits

takes 0.131 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 LL tests remaining

	Residue	Status
L-L	BEDED9B3BEB67F7C	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	2⁷⁰	119.6007	70.0000%	1000000	30000000	0.2460	4.7522%	119.8467	71.4257%	1.4257%
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	1.2364%	0.3088	66.5478%	0.4188%
Difference	+8	+119.2932	+3.8710%	+992000	+29890000	+0.2447	+3.5158%	+119.5379	+4.8779%	+1.0069%

Known prime factors (1 factor, 67.7 bits, 0.00339063% 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
1997903	246720865652282365417	21	67.741	61744955999436 2² × 3² × 1715137666651	2014-02-01	9	1715137666651	26.647	8,908.9	16,639

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-03-05T15:11:00	kurly	hex	1000000	30000000		-		-	-	0.246	-	-	4.752%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.019	-	-
2009-04-19T19:29:00	Rob_Dee	twopc	2⁶⁰	2⁶¹		-	-	0.077	-	-
2011-05-03T04:17:00	Xyzzy	Manual testing	2¹	2⁶²		-	-	0.308	-	-
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		-	-	3.740	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	7.481	-	-
2014-02-01T17:02:00	ANONYMOUS	Manual testing	2⁵	2⁶⁸	246720865652282365417	67.741	21	26.65	0.267	54.13
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸	MISSED FACTOR!	-	-	14.96	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	29.92	-	-
2014-01-04T17:33:00	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	59.84	-	-

ECM factoring results:

Total ECM effort:	26.924 GHz-days
Estimated T-Level:	25.337

Digits	B1	Complete	FacMiss
20	11000	11.205	0.001%
25	50000	1.058	34.698%
30	250000	0.067	93.476%
35	1000000	0.003	99.683%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	40	3.383
50000	7000000	7	0.688
50000	7070978	7	0.691
50000	7500000	218	22.16

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-21T05:18:00	Lupo	yorick	50000	5000000						3	0.254
2009-11-01T23:13:00	James Hintz	ryan	50000	5000000						3	0.254
2011-02-04T01:09:00	James Hintz	ryan	50000	5000000						3	0.254
2013-01-02T04:16:00	GrunwalderGIMP	vangelis	50000	5000000						3	0.254
2021-06-29T21:04:24	Jonathan Webb	Desktop2021	50000	5000000						7	0.592
2021-09-21T14:59:32	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.592
2022-01-18T00:28:16	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.592
2022-05-18T19:30:08	debrouxl	dl380g9-1	50000	7070978						7	0.691
2022-07-15T19:30:50	J.R. Allen	lapacer	50000	7000000						7	0.688
2022-09-27T17:41:04	_p95holder_	TFL18_PRPt12pE_m	50000	5000000						7	0.592
2022-10-31T12:29:51	TJAOI	Manual testing	50000	7500000						218	22.16

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-17T00:00:00	ANONYMOUS	v4_computers	BEDED9B3BEB67F7C	0.131

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-05T18:02:52

Oliver Kruse

GTX-0

246720865652282365417

ADDEC992880927__

2017-11-13T03:35:44

kkmrkkblmbrbk

c4.xlarge

246720865652282365417

ADDEC992880927__

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

B1 = 1000000 (P-1 stage 1)

10⁰

10¹

10²

10³

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10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-10-31T12:29:51+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