M1782533 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	33.4383	69.1176%	1782533	196078630	0.9729	8.0456%	34.4112	71.6023%	2.4847%
PrimeNet	2⁵⁷	0.0108	63.1579%	8000	140000	0.0012	2.8123%	0.0120	64.1940%	1.0361%
GPU72	2⁶¹	0.1723	65.5738%	8000	130000	0.0012	1.4921%	0.1735	66.0874%	0.5137%
Difference	+7	+33.2660	+3.5439%	+1774533	+195948630	+0.9718	+6.5535%	+34.2377	+5.5149%	+5.5149%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1782533	680747789683889290169687	24	79.171	190949561574425071 11 × 220559 × 78704795779	2019-12-14	220559	78704795779	85,202	337.33	630.00

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-01T14:34:00	Carsten Kossendey	leela	95000	1615000		-		-	-	0.014	-	-	2.158%
2014-04-10T20:52:00	ANONYMOUS	Manual testing	100000	100000		-		-	-	0.008	-	-	0.772%
2014-05-09T20:32:00	Jocelyn Larouche	Manual testing	136007	136007		-		-	-	0.011	-	-	0.924%
2014-09-19T20:39:00	Jocelyn Larouche	Manual testing	172014	172014		-		-	-	0.014	-	-	1.051%
2015-05-30T22:28:00	mikr	MSI	2475400	86660000		-		-	-	0.556	-	-	7.333%
2018-07-02T12:39:36	Jocelyn Larouche	low 4M	1782533	178253300	12	-		-	-	0.897	-	-	7.938%
2018-10-19T12:14:54	Jocelyn Larouche	low 4M	1782533	196078630	12	-		-	-	0.973	-	-	8.046%

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	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.065	-	-
2010-04-20T13:12:00	Architects Cubed	m1_76l	2⁶⁰	2⁶¹		-	-	0.086	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.172	-	-
2010-10-16T22:16:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.895	-	-
2016-02-23T16:28:51	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.551	-	-
2015-05-14T12:16:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.101	-	-
2015-05-14T12:16:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.096	-	-
2015-09-12T12:52:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.192	-	-
2018-02-05T16:30:33	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.384	-	-
2019-08-06T10:06:01	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	16.77	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.286 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:	17.286 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	17.22
50000	5000000	680747789683889290169687	1	0.069

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-23T05:37:00	paulie	iMac3.4	50000	5000000						3	0.207
2009-07-12T11:58:00	Conductor	home	50000	5000000						3	0.207
2010-10-18T11:37:00	bstanton	home	50000	5000000						3	0.207
2012-02-17T12:43:00	S36049	Wolle5	50000	5000000						3	0.207
2013-06-16T18:30:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2014-02-18T05:51:00	Bruce	snowflake	50000	5000000						3	0.207
2015-02-12T12:38:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2015-09-23T05:18:52	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-01-27T14:02:31	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-05-11T12:20:00	Bruce	DESK3	50000	5000000						3	0.207
2016-05-28T22:42:48	Bruce	DESK3	50000	5000000						3	0.207
2016-08-08T21:50:54	Bruce	DESK3	50000	5000000						3	0.207
2016-10-15T11:47:54	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2016-12-17T23:58:55	Bruce	DESK3	50000	5000000						3	0.207
2017-04-02T13:12:56	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2017-10-08T15:27:24	Chang Chia-Tche	exbpc13	50000	5000000						3	0.207
2018-01-12T00:46:36	Bruce	DESK3	50000	5000000						3	0.207
2019-06-26T04:50:46	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.207
2019-11-19T02:18:00	George Woltman	kaggle1	50000	5000000						3	0.207
2019-11-21T00:19:41	Keysarecool	Boat_Anchor	50000	5000000						3	0.207
2019-11-26T01:20:01	Idgo	Pentium_Desktop	50000	5000000						3	0.207
2019-11-28T13:23:17	J.R. Allen	lapdell	50000	5000000						3	0.207
2019-12-02T15:04:50	mnd9	50871b	50000	5000000						3	0.207
2019-12-05T22:57:04	mnd9	kitchen	50000	5000000						3	0.207
2019-12-10T06:56:05	daveward2005	Davy	50000	5000000						3	0.207
2019-12-14T23:53:56	Chang Chia-Tche	ex-ctcpc	50000	5000000	680747789683889290169687	79.171	1	2	7112764757207334	1	0.069
2020-03-01T04:32:34	DevilDawg93	Old_gaming_comp	50000	5000000						3	0.207
2020-11-13T10:46:23	TJAOI	Manual testing	50000	5000000						172	11.85

date	userid	compid	res64	spent (GHz-days)
1998-12-21T00:00:00	ANONYMOUS	v4_computers	4F6F36BAB86C3086	0.097
2015-07-03T04:32:00	MadPoo	Manual testing	4F6F36BAB86C3086	0.097

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 = 1782533, B2 = 196078630 (P-1 stage 2)

B1 = 1782533, B2 = 178253300 (P-1 stage 2)

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

B1 = 2475400 (P-1 stage 1)

B1 = 1782533 (P-1 stage 1)

B1 = 95000, B2 = 1615000 (P-1 stage 2)

B1 = 172014 (P-1 stage 1)

B1 = 136007 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10³

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10¹⁰

10¹¹

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