M1701653 Mersenne number exponent details

is 2 ^1701653 - 1

has 512249 decimal digits

takes 0.080 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	2⁶⁸	35.0276	69.1176%	10000000	200000000	1.3888	9.1089%	36.4164	71.9307%	2.8131%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7318%	0.0123	64.1643%	1.0065%
GPU72	2⁶¹	0.1805	65.5738%	7000	100000	0.0008	1.3016%	0.1813	66.0219%	0.4481%
Difference	+7	+34.8471	+3.5439%	+9993000	+199900000	+1.3880	+7.8074%	+36.2351	+5.9088%	+5.9088%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1701653	470784707030470480522830457	27	88.605	138331583181315603276 2² × 3 × 71 × 193² × 4358801930887	2020-02-03	37249	4358801930887	67,265,651	16,206	30,268
1701653	227637279592879261298216271683273	33	107.488	66887103185220271494310612 2² × 16721775796305067873577653	2021-09-01	4	16721775796305067873577653	9.302e+10	6.217e+16	1.161e+17

exponent	prime factors	composite factor	digits	bits*
1701653	470784707030470480522830457 227637279592879261298216271683273	10716814998234695961076212568062598717837956289004 1781845761	60	196.094

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-01-27T22:35:00	Jocelyn Larouche	Manual testing	50000	50000		-		-	-	0.003	-	-	0.489%
2011-02-07T12:51:00	Carsten Kossendey	leela	90000	1507500		-		-	-	0.011	-	-	2.082%
2014-03-31T21:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.007	-	-	0.765%
2014-05-03T00:50:00	Jocelyn Larouche	Manual testing	150000	150000		-		-	-	0.010	-	-	0.968%
2014-10-01T23:01:00	Jocelyn Larouche	Manual testing	187719	187719		-		-	-	0.013	-	-	1.093%
2015-01-07T04:02:00	Jocelyn Larouche	Manual testing	281578	281578		-		-	-	0.019	-	-	1.344%
2015-02-02T07:32:00	Jocelyn Larouche	Manual testing	309735	309735		-		-	-	0.021	-	-	1.407%
2015-02-16T20:56:00	Jocelyn Larouche	Manual testing	374778	374778		-		-	-	0.026	-	-	1.540%
2015-02-18T11:51:00	VictordeHollander	Manual testing	10000000	200000000		-		-	-	1.389	-	-	9.109%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-02-07T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.011	-	-
2003-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.023	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.068	-	-
2010-04-22T12:40:00	Architects Cubed	a3_bu2	2⁶⁰	2⁶¹		-	-	0.090	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.181	-	-
2010-10-04T14:38:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.938	-	-
2016-02-23T16:28:47	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.577	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	1.154	-	-
2015-02-13T10:43:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	2.196	-	-
2015-08-30T20:42:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.391	-	-
2018-06-18T10:05:51	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.783	-	-
2019-08-06T10:06:04	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.57	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

209.192 GHz-days

Digits	B1	Curves	Complete	FacMiss
20	11000	943 / 100	9.430	0.008%
25	50000	943 / 280	3.368	3.426%
30	250000	644 / 640	1.006	36.530%

New Calculation Method

Total ECM effort:

209.192 GHz-days

Digits	B1	Complete	FacMiss
20	11000	63.312	0.000%
25	50000	8.631	0.018%
30	250000	0.891	41.019%
35	1000000	0.072	93.041%
40	3000000	0.005	99.525%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		299	17.77
250000	25000000		300	89.17
250000	25000000	470784707030470480522830457	1	0.297
250000	25000000	227637279592879261298216271683273	343	102.0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-06-21T21:38:00	Team_Bundu	bundu4	50000	5000000						3	0.178
2009-06-18T01:31:00	SubPrime	abd1	50000	5000000						3	0.178
2010-06-28T21:09:00	KAMCOBILL	PC01	50000	5000000						3	0.178
2011-11-21T07:07:00	OS1	L3	50000	5000000						3	0.178
2013-04-18T18:41:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-01-06T03:17:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2014-09-20T04:49:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-05-24T02:25:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2015-06-02T09:55:00	mikr	MSI	50000	5000000						6	0.357
2016-04-10T05:10:07	Bruce	DESK3	50000	5000000						3	0.178
2016-06-07T05:49:33	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2016-09-08T06:08:15	Bruce	DESK3	50000	5000000						3	0.178
2016-11-10T05:46:05	Bruce	DESK3	50000	5000000						3	0.178
2017-01-05T02:26:08	Bruce	DESK3	50000	5000000						3	0.178
2017-04-23T00:24:48	ANONYMOUS	Worker	50000	5000000						3	0.178
2017-11-14T13:44:33	Bruce	DESK3	50000	5000000						3	0.178
2018-01-18T12:31:43	Bruce	DESK3	50000	5000000						3	0.178
2018-08-02T20:20:41	nordi	nordiputer	50000	5000000						50	2.972
2019-11-14T22:08:59	mnd9	25836b	50000	5000000						3	0.178
2019-11-15T03:07:09	Nesowa	6700T	50000	5000000						3	0.178
2019-11-15T12:18:00	mnd9	25836b	50000	5000000						3	0.178
2019-11-15T19:36:49	mnd9	25836b	50000	5000000						3	0.178
2019-11-17T20:47:49	Nesowa	6700T	50000	5000000						3	0.178
2019-11-22T08:51:40	Marcel PERRIN	Manual testing	50000	5000000						180	10.70
2020-01-30T19:26:10	mnd9	27016b	250000	25000000						25	7.431
2020-02-04T00:53:47	mnd9	27016b	250000	25000000	470784707030470480522830457	88.605	1	2	936910295161302	1	0.297
2020-02-04T21:13:56	mnd9	27016b	250000	25000000						25	7.431
2021-09-01T07:59:50	Marcel PERRIN	Manual testing	250000	25000000	227637279592879261298216271683273	107.488	343	2	7418596571367214	343	102.0
2021-09-06T06:53:08	Marcel PERRIN	Manual testing	250000	25000000						250	74.31

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-02-21T00:00:00	ANONYMOUS	v4_computers	C3342D9A96C8AE5D	0.080
2015-07-19T18:02:00	MadPoo	Manual testing	C3342D9A96C8AE5D	0.080

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-02-04T11:05:50

Niels_Mache_Nextcloud

SuperDry-X

470784707030470480522830457

807C3AEA7A8BDC3B

2020-02-05T09:46:31

marssystems

system03

470784707030470480522830457

807C3AEA7A8BDC3B

2021-09-01T07:59:50

Marcel PERRIN

Manual testing

470784707030470480522830457

227637279592879261298216271683273

807C3AEA7A8BDC3B

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 = 10000000, B2 = 200000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 374778 (P-1 stage 1)

B1 = 309735 (P-1 stage 1)

B1 = 281578 (P-1 stage 1)

B1 = 187719 (P-1 stage 1)

B1 = 90000, B2 = 1507500 (P-1 stage 2)

B1 = 150000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 50000 (P-1 stage 1)

10⁰

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TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

Last modified: 2021-09-06T06:53:08+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