M2482813 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	2⁶⁹	48.0853	68.1159%	2382500	85770100	0.6965	6.9436%	48.7818	70.3298%	2.2139%
PrimeNet	2⁵⁹	0.0309	62.7119%	10000	180000	0.0019	2.5346%	0.0329	63.6570%	0.9451%
GPU72	2⁶³	0.6428	65.0794%	11000	160000	0.0019	1.3801%	0.6447	65.5613%	0.4820%
Difference	+6	+47.4425	+3.0366%	+2371500	+85610100	+0.6946	+5.5635%	+48.1371	+4.7685%	+4.7685%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2482813	5724685620899042511728143	25	82.243	1152862825532781267 3² × 151 × 2326693 × 364602041	2021-11-03	2326693	364602041	642,726	2.2191	3.7314

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.189%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.670%
2010-11-20T12:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.221%
2011-01-21T08:47:00	Oscar Östlin		95000	1947500		-		-	-	0.020	-	-	2.107%
2014-09-02T00:10:00	Jocelyn Larouche	Manual testing	120851	120851		-		-	-	0.012	-	-	0.797%
2014-11-06T07:44:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	6.944%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-14T18:09:00	Sturle Sunde	ghini.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-09T07:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.124	-	-
2013-01-23T08:29:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.395	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.791	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.505	-	-
2015-10-29T11:36:22	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.010	-	-
2017-07-22T20:28:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.020	-	-
2019-07-01T11:11:00	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.04	-	-
2021-06-21T08:54:37	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	24.08	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.421 GHz-days
Estimated T-Level:	22.589

Digits	B1	Curves	Complete	FacMiss
20	11000	145 / 100	1.450	23.286%
25	50000	145 / 280	0.518	59.524%

New Calculation Method

Total ECM effort:	13.421 GHz-days
Estimated T-Level:	22.589

Digits	B1	Complete	FacMiss
20	11000	4.701	0.909%
25	50000	0.425	65.403%
30	250000	0.026	97.418%
35	1000000	0.001	99.880%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		129	11.85
50000	5000000	5724685620899042511728143	2	0.184
50000	5171194		7	0.652
50000	6750000		7	0.738

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-11T19:06:00	Aca Arsov	backo6400	50000	5000000						3	0.276
2010-03-28T10:25:00	SubPrime	stor	50000	5000000						3	0.276
2012-06-10T10:04:00	Jacques MOLNE	Crazy_64	50000	5000000						3	0.276
2014-02-05T15:23:00	arnaud	srv-630	50000	5000000						3	0.276
2015-07-20T19:31:00	guru	w6	50000	5000000						3	0.276
2016-02-26T06:09:39	Jason U	Server7	50000	5000000						3	0.276
2016-06-23T14:51:34	Jason U	Server7	50000	5000000						3	0.276
2017-02-28T19:04:45	Bruce	eleven	50000	5000000						3	0.276
2017-08-09T02:01:42	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2017-12-23T14:34:57	Sebastian Hornbostel	V2	50000	5000000						3	0.276
2018-07-30T00:49:58	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-10T18:43:29	monsted	rootweiler	50000	5000000						3	0.276
2020-05-12T02:09:54	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.276
2020-05-27T11:58:38	mnd9	75203b	50000	5000000						3	0.276
2020-06-15T08:16:45	mnd9	25836b	50000	5000000						3	0.276
2020-06-28T21:43:42	GAN	KA-HP	50000	5000000						3	0.276
2020-07-05T15:54:37	GAN	LMS-13	50000	5000000						3	0.276
2020-07-12T16:33:28	mnd9	25836b	50000	5000000						3	0.276
2020-07-18T00:24:52	GAN	PG-HP	50000	5000000						3	0.276
2020-07-24T05:37:53	GAN	LMS-13	50000	5000000						3	0.276
2020-07-31T06:12:52	GAN	LMS-08	50000	5000000						3	0.276
2020-08-08T10:48:49	daveward2005	MW	50000	5000000						3	0.276
2020-08-16T15:01:07	GAN	LMS-14	50000	5000000						7	0.643
2020-09-18T01:33:46	mnd9	75204b	50000	5000000						7	0.643
2020-10-17T12:49:35	Albrecht Heeffer	R7-3800X	50000	5000000						7	0.643
2020-11-19T15:16:45	lycorn	colab_A_1	50000	5000000						7	0.643
2020-12-26T22:10:23	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-01-28T05:54:25	daveward2005	Dave2	50000	5000000						7	0.643
2021-02-25T18:54:14	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-04-01T03:02:25	Zenzoma	AMD3970X	50000	5000000						7	0.643
2021-05-16T01:32:21	kutens	arcturus	50000	5171194						7	0.652
2021-07-03T23:32:09	Jew	Jew-DO-Droplet	50000	5000000						7	0.643
2021-08-18T07:00:37	J. W.	AMDNew	50000	6750000						7	0.738
2021-11-03T10:10:29	daveward2005	Dave2	50000	5000000	5724685620899042511728143	82.243	2	2	5663535442775375	2	0.184

date	userid	compid	res64	spent (GHz-days)
1999-05-09T00:00:00	ANONYMOUS	v4_computers	A6C5749483D31F24	0.172
2018-05-30T16:40:37	kkmrkkblmbrbk	old	A6C5749483D31F24	0.172

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 120851 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (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