M1738207 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	34.2910	69.1176%	1738207	191202770	0.9487	7.9770%	35.2397	71.5811%	2.4635%
PrimeNet	2⁵⁷	0.0110	63.1579%	8000	140000	0.0012	2.7989%	0.0122	64.1891%	1.0312%
GPU72	2⁶¹	0.1767	65.5738%	8000	110000	0.0011	1.4107%	0.1778	66.0594%	0.4856%
Difference	+7	+34.1143	+3.5439%	+1730207	+191092770	+0.9477	+6.5663%	+35.0620	+5.5217%	+5.5217%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1738207	4359011542782961107778663	25	81.850	1253881598331775533 3 × 599 × 697763827674889	2019-11-22	599	697763827674889	331,326	2,990,441	5,585,312

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-08T05:49:00	Carsten Kossendey	leela	95000	1543750		-		-	-	0.014	-	-	2.125%
2014-04-05T13:21:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.768%
2014-05-06T10:52:00	Jocelyn Larouche	Manual testing	136926	136926		-		-	-	0.011	-	-	0.923%
2014-09-11T21:44:00	Jocelyn Larouche	Manual testing	173852	173852		-		-	-	0.014	-	-	1.053%
2014-12-02T21:55:00	Jocelyn Larouche	Manual testing	210778	210778		-		-	-	0.017	-	-	1.165%
2015-04-09T15:29:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.314%
2018-08-09T11:43:50	Jocelyn Larouche	low 4M	1738207	173820700	12	-		-	-	0.874	-	-	7.870%
2018-10-17T22:59:58	Jocelyn Larouche	low 4M	1738207	191202770	12	-		-	-	0.949	-	-	7.977%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-02-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.066	-	-
2010-04-24T12:42:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.088	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.177	-	-
2010-11-18T02:51:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.918	-	-
2016-02-23T16:28:49	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.565	-	-
2015-05-06T02:36:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.130	-	-
2015-05-06T02:36:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.150	-	-
2015-09-04T17:59:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.299	-	-
2018-03-12T16:50:49	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.598	-	-
2019-06-17T12:15:05	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.20	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.239 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:	17.239 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		248	17.03
50000	5000000	4359011542782961107778663	3	0.206

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-16T00:38:00	paulie	iMac3.4	50000	5000000						3	0.206
2009-06-22T15:07:00	SubPrime	abd1	50000	5000000						3	0.206
2010-08-09T10:50:00	unconnected	X3220--xp	50000	5000000						3	0.206
2011-12-19T22:52:00	Piepen	T30-2000	50000	5000000						3	0.206
2013-05-11T08:17:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-10T18:09:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-11-29T11:40:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-07-25T02:00:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-12-21T06:46:58	guru	h1	50000	5000000						3	0.206
2016-03-11T03:00:57	Bruce	DESK3	50000	5000000						3	0.206
2016-04-26T06:18:12	Bruce	DESK3	50000	5000000						3	0.206
2016-07-24T13:49:51	Bruce	DESK3	50000	5000000						3	0.206
2016-09-28T00:22:05	Bruce	DESK3	50000	5000000						3	0.206
2017-05-30T23:49:05	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-06-12T11:51:39	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-07-13T06:52:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-13T19:59:06	Bruce	DESK3	50000	5000000						3	0.206
2018-02-10T06:17:56	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T03:26:59	mnd9	50871	50000	5000000						3	0.206
2019-11-17T16:13:50	mnd9	50871	50000	5000000						3	0.206
2019-11-18T07:05:56	George Woltman	kaggle1	50000	5000000						3	0.206
2019-11-21T05:05:40	mnd9	dlounge	50000	5000000						3	0.206
2019-11-22T05:25:38	Keysarecool	HPLaptop	50000	5000000	4359011542782961107778663	81.850	3	2	871475012272837	3	0.206
2020-06-08T08:22:29	TJAOI	Manual testing	50000	5000000						182	12.50

date	userid	compid	res64	spent (GHz-days)
1999-02-21T00:00:00	edoderoo	v4_computers	DF373D03682F4ED1	0.094
2003-01-25T00:00:00	edoderoo	v4_computers	DF373D03682F4ED1	0.094
2015-07-18T19:04:00	MadPoo	Manual testing	DF373D03682F4ED1	0.094

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 = 1738207, B2 = 191202770 (P-1 stage 2)

B1 = 1738207, B2 = 173820700 (P-1 stage 2)

B1 = 2475400, B2 = 86660000 (P-1 stage 2)

B1 = 2475400 (P-1 stage 1)

B1 = 1738207 (P-1 stage 1)

B1 = 210778 (P-1 stage 1)

B1 = 95000, B2 = 1543750 (P-1 stage 2)

B1 = 173852 (P-1 stage 1)

B1 = 136926 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10¹

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10³

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10¹⁰

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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