M1762477 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	33.8188	69.1176%	1762477	193872470	0.9620	8.0147%	34.7808	71.5928%	2.4751%
PrimeNet	2⁵⁷	0.0109	63.1579%	8000	140000	0.0012	2.8062%	0.0121	64.1918%	1.0339%
GPU72	2⁶¹	0.1743	65.5738%	8000	120000	0.0011	1.4531%	0.1754	66.0740%	0.5002%
Difference	+7	+33.6445	+3.5439%	+1754477	+193752470	+0.9609	+6.5617%	+34.6054	+5.5188%	+5.5188%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1762477	170404627658880751571353	24	77.173	48342369193720188 2² × 3 × 2659 × 2843 × 532907077	2020-02-11	2843	532907077	17,547	2.2841	4.2657

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:31:00	Carsten Kossendey	leela	95000	1591250		-		-	-	0.014	-	-	2.146%
2014-04-08T23:01:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.770%
2014-05-09T20:31:00	Jocelyn Larouche	Manual testing	136417	136417		-		-	-	0.011	-	-	0.923%
2014-09-17T22:20:00	ANONYMOUS	Manual testing	172834	172834		-		-	-	0.014	-	-	1.052%
2015-05-02T04:25:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.325%
2018-07-10T16:02:43	Jocelyn Larouche	low 4M	1762477	88123850	12	-		-	-	0.509	-	-	7.129%
2018-08-13T11:55:08	Jocelyn Larouche	low 4M	1762477	176247700	12	-		-	-	0.886	-	-	7.907%
2018-10-19T02:38:32	Jocelyn Larouche	low 4M	1762477	193872470	12	-		-	-	0.962	-	-	8.015%

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		-	-	0.065	-	-
2010-04-20T13:12:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.087	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.174	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.906	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.557	-	-
2015-04-29T21:07:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.114	-	-
2015-04-29T21:07:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.120	-	-
2015-09-07T08:31:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.240	-	-
2018-04-30T12:03:46	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.480	-	-
2019-08-16T11:17:51	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.96	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.264 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:	17.264 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		250	17.20
50000	5000000	170404627658880751571353	1	0.069

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-06T03:49:00	Scott Kurowski	UW2	50000	5000000						3	0.206
2009-07-06T13:24:00	ALF		50000	5000000						3	0.206
2010-09-01T19:47:00	James Classen	towerofart	50000	5000000						3	0.206
2012-01-21T19:17:00	Emiel	SlimLine	50000	5000000						3	0.206
2013-05-28T13:03:00	Sara	Sara	50000	5000000						3	0.206
2014-02-15T23:20:00	Bruce	snowflake	50000	5000000						3	0.206
2015-01-12T12:41:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-08-27T08:05:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-01-10T02:24:41	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-20T00:37:11	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-05-06T07:53:43	Bruce	DESK3	50000	5000000						3	0.206
2016-08-01T20:22:03	Bruce	DESK3	50000	5000000						3	0.206
2016-10-08T11:41:57	Bruce	DESK3	50000	5000000						3	0.206
2016-12-08T06:40:23	Bruce	DESK3	50000	5000000						3	0.206
2017-02-08T18:34:03	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-09-21T15:30:41	ANONYMOUS	Worker	50000	5000000						3	0.206
2017-12-30T14:32:36	Bruce	DESK3	50000	5000000						3	0.206
2018-02-23T09:27:42	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T22:31:23	IanGlencross	glenx24	50000	5000000						3	0.206
2019-11-18T21:23:55	George Woltman	kaggle1	50000	5000000						3	0.206
2019-11-20T13:35:24	DevilDawg93	Old_gaming_comp	50000	5000000						3	0.206
2019-11-24T21:58:49	penlu	grizzly	50000	5000000						3	0.206
2019-11-25T12:06:02	mnd9	50869	50000	5000000						3	0.206
2019-11-27T19:33:54	Alvin Bunk	i7-Core	50000	5000000						3	0.206
2019-12-01T14:49:34	Alvin Bunk	i7-Core	50000	5000000						3	0.206
2019-12-05T07:53:04	J.R. Allen	lapacer	50000	5000000						3	0.206
2019-12-11T16:42:46	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.206
2019-12-14T04:23:48	daveward2005	Davy	50000	5000000						3	0.206
2019-12-21T05:55:07	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.206
2019-12-30T15:05:18	TheJudger	myECM	50000	5000000						3	0.206
2019-12-30T22:51:45	S04803	lfmcal	50000	5000000						3	0.206
2020-01-04T17:43:58	TheJudger	myECM	50000	5000000						3	0.206
2020-01-19T15:14:09	volki	home	50000	5000000						3	0.206
2020-01-21T02:29:22	Keysarecool	HPLaptop	50000	5000000						3	0.206
2020-01-24T19:47:00	EricP	Cannonfodder	50000	5000000						3	0.206
2020-02-02T13:42:11	IanGlencross	glenx24	50000	5000000						3	0.206
2020-02-11T11:11:45	Keysarecool	i9	50000	5000000	170404627658880751571353	77.173	1	2	8491464066500643	1	0.069
2020-09-11T10:24:29	TJAOI	Manual testing	50000	5000000						142	9.77

date	userid	compid	res64	spent (GHz-days)
1999-02-07T00:00:00	ANONYMOUS	v4_computers	B1F5B4A4D2523F8F	0.096
2015-07-18T19:04:00	MadPoo	Manual testing	B1F5B4A4D2523F8F	0.096

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 = 1762477, B2 = 193872470 (P-1 stage 2)

B1 = 1762477, B2 = 176247700 (P-1 stage 2)

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

B1 = 1762477, B2 = 88123850 (P-1 stage 2)

B1 = 2475400 (P-1 stage 1)

B1 = 1762477 (P-1 stage 1)

B1 = 95000, B2 = 1591250 (P-1 stage 2)

B1 = 172834 (P-1 stage 1)

B1 = 136417 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10²

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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