M1754713 Mersenne number exponent details

is 2 ^1754713 - 1

has 528222 decimal digits

takes 0.095 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	16.9338	68.6567%	2475400	86660000	0.5555	7.9534%	17.4893	71.1496%	2.4929%
PrimeNet	2⁵⁷	0.0109	63.1579%	8000	140000	0.0012	2.8039%	0.0121	64.1909%	1.0330%
GPU72	2⁶¹	0.1751	65.5738%	8000	110000	0.0011	1.4135%	0.1761	66.0604%	0.4866%
Difference	+6	+16.7587	+3.0829%	+2467400	+86550000	+0.5544	+6.5399%	+17.3132	+5.0892%	+5.0892%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1754713	2389486880704548861490447577	28	90.949	680876838749285171276 2² × 170219209687321292819	2017-11-13	4	170219209687321292819	220,717,375	7.295e+11	1.363e+12

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:45:00	Carsten Kossendey	leela	95000	1567500		-		-	-	0.014	-	-	2.412%
2014-04-08T23:01:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.888%
2014-05-06T21:04:00	Jocelyn Larouche	Manual testing	136578	136578		-		-	-	0.011	-	-	1.059%
2014-09-16T20:52:00	ANONYMOUS	Manual testing	173156	173156		-		-	-	0.014	-	-	1.202%
2015-04-24T11:46:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.953%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.066	-	-
2010-04-21T18:38:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.088	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.175	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.910	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.559	-	-
2015-05-13T21:10:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.119	-	-
2015-05-13T21:10:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.129	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.259	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.382 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.382 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.112	0.030%
25	50000	0.733	48.062%
30	250000	0.045	95.590%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	50000		3	0.126
50000	5000000		250	17.19
50000	5000000	2389486880704548861490447577	1	0.069

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-28T19:41:00	Scott Kurowski	UW1	50000	5000000						3	0.206
2009-10-07T20:49:00	Piepen	T41-2000	50000	5000000						3	0.206
2010-08-27T17:45:00	James Hintz	terri_castor	50000	5000000						3	0.206
2012-01-07T09:44:00	Bud	annan	50000	5000000						3	0.206
2013-05-29T15:44:00	Bruce	yoyodyne	50000	50000						3	0.126
2013-06-28T19:10:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-03-01T10:14:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-02-11T10:22:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-09-16T01:43:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-01-21T14:21:09	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-24T04:55:21	Bruce	DESK3	50000	5000000						3	0.206
2016-05-08T18:53:27	Bruce	DESK3	50000	5000000						3	0.206
2016-08-04T09:33:25	Bruce	DESK3	50000	5000000						3	0.206
2016-10-10T17:10:20	Bruce	DESK3	50000	5000000						3	0.206
2016-12-10T15:54:41	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-02-25T07:31:41	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-05-10T07:08:38	Richard B. Woods	Puttputt	50000	5000000						1	0.069
2017-11-13T12:00:24	Bruce	DESK3	50000	5000000	2389486880704548861490447577	90.949	1	2		1	0.069
2020-07-27T11:05:22	TJAOI	Manual testing	50000	5000000						204	14.02

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	ANONYMOUS	v4_computers	C6E02284A1B39E88	0.095
2015-06-27T00:56:00	MadPoo	Manual testing	C6E02284A1B39E88	0.095

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-14T14:24:23

Oliver Kruse

GTX-3

2389486880704548861490447577

4C55D1218BAA32__

2017-11-14T17:00:12

kkmrkkblmbrbk

c4.xlarge

2389486880704548861490447577

4C55D1218BAA32__

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 = 2475400, B2 = 86660000 (P-1 stage 2)

B1 = 2475400 (P-1 stage 1)

B1 = 95000, B2 = 1567500 (P-1 stage 2)

B1 = 173156 (P-1 stage 1)

B1 = 136578 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

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TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

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2¹⁰⁰

Last modified: 2020-07-27T11:05:22+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