M2835779 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	42.1002	68.1159%	5000000	200000000	1.7498	8.4911%	43.8500	70.8232%	2.7073%
PrimeNet	2⁵⁹	0.0271	62.7119%	12000	240000	0.0027	2.9338%	0.0298	63.8058%	1.0940%
GPU72	2⁶³	0.5628	65.0794%	16000	260000	0.0033	1.8272%	0.5661	65.7174%	0.6381%
Difference	+6	+41.5374	+3.0366%	+4984000	+199740000	+1.7465	+6.6638%	+43.2839	+5.1058%	+5.1058%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2835779	510169074962870944577329631	27	88.721	89952192142418528485 5 × 17990438428483705697	2021-05-09	5	17990438428483705697	41,746,574	1.098e+11	2.050e+11

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-28T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.196%
2016-09-21T12:09:28	Jocelyn Larouche	low 4M	120000	3300000	6	-		-	-	0.033	-	-	2.554%
2016-10-07T05:48:06	Jocelyn Larouche	low 4M	120000	3960000		-		-	-	0.037	-	-	2.659%
2017-03-03T01:10:47	Jocelyn Larouche	low 4M	306124	3061240	6	-		-	-	0.051	-	-	2.928%
2018-02-20T11:48:58	Jocelyn Larouche	low 4M	403348	403348		-		-	-	0.045	-	-	1.528%
2018-03-10T21:16:43	Jocelyn Larouche	low 4M	2835779	3061240		-		-	-	0.319	-	-	3.354%
2018-03-14T01:18:14	Jocelyn Larouche	low 4M	2835779	6122480	6	-		-	-	0.338	-	-	4.129%
2019-11-06T03:53:37	masser	Manual testing	2840000	28400000	12	-		-	-	0.474	-	-	5.867%
2020-02-02T18:05:42	masser	Manual testing	5000000	200000000	12	-		-	-	1.750	-	-	8.491%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:22	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.054	-	-
2009-02-13T06:57:00	Sturle Sunde	gibsy.ifi	2⁶⁰	2⁶¹		-	-	0.054	-	-
2012-02-11T01:39:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.108	-	-
2013-01-07T13:46:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.346	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.692	-	-
2015-04-21T09:19:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.318	-	-
2015-12-02T15:15:14	omylist	Manual testing	2⁶⁵	2⁶⁶		-	-	2.635	-	-
2017-10-28T16:39:42	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.270	-	-
2019-01-04T01:17:01	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	10.54	-	-
2021-04-22T08:19:55	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	21.08	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	6.953 GHz-days
Estimated T-Level:	2.950

Digits	B1	Curves	Complete	FacMiss
20	11000	59 / 100	0.590	55.268%
25	50000	59 / 280	0.211	80.970%

New Calculation Method

Total ECM effort:	6.953 GHz-days
Estimated T-Level:	2.950

Digits	B1	Complete	FacMiss
20	11000	1.865	15.489%
25	50000	0.165	84.751%
30	250000	0.010	98.997%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	50000		14	0.834
50000	4350000		7	0.690
50000	5000000		51	5.324
50000	5000000	510169074962870944577329631	1	0.104

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-20T21:44:00	James Hintz	01_060309	50000	5000000						3	0.313
2010-11-05T13:28:00	ECK	vista	50000	5000000						3	0.313
2013-04-06T18:33:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.313
2015-04-03T07:32:00	Jason U	Server7	50000	5000000						3	0.313
2016-02-17T18:49:32	Sintax	cloud2	50000	5000000						3	0.313
2016-06-12T13:24:46	Jason U	Server7	50000	5000000						3	0.313
2017-05-09T09:21:46	Marius Zens	KBWR_TV3	50000	5000000						3	0.313
2017-09-17T14:05:51	S36049	Wolle5	50000	5000000						3	0.313
2018-04-09T01:30:54	ANONYMOUS	test001	50000	5000000						3	0.313
2019-01-28T09:21:09	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.313
2020-09-15T06:35:59	mnd9	75204b	50000	5000000						7	0.731
2020-10-14T11:49:29	Albrecht Heeffer	R7-3800X	50000	5000000						7	0.731
2020-11-13T21:17:47	tottenhoff	Garage-Band-003	50000	5000000						7	0.731
2021-05-08T03:57:56	LordJulius	BigBox	50000	4350000						7	0.690
2021-05-09T01:23:04	EICCEZP	spectre	50000	50000						7	0.417
2021-05-09T09:13:10	daveward2005	MW	50000	5000000	510169074962870944577329631	88.721	1	2		1	0.104
2021-05-09T14:44:25	EICCEZP	spectre	50000	50000						7	0.417

date	userid	compid	res64	spent (GHz-days)
1999-06-06T00:00:00	ANONYMOUS	v4_computers	36A76D5FB48E6798	0.219
2018-09-12T09:27:06	kkmrkkblmbrbk	old	36A76D5FB48E6798	0.219

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 = 5000000, B2 = 200000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 2840000, B2 = 28400000 (P-1 stage 2)

B1 = 2835779, B2 = 6122480 (P-1 stage 2)

B1 = 2835779, B2 = 3061240 (P-1 stage 2)

B1 = 2840000 (P-1 stage 1)

B1 = 2835779 (P-1 stage 1)

B1 = 306124, B2 = 3061240 (P-1 stage 2)

B1 = 403348 (P-1 stage 1)

B1 = 120000, B2 = 3960000 (P-1 stage 2)

B1 = 306124 (P-1 stage 1)

B1 = 120000, B2 = 3300000 (P-1 stage 2)

B1 = 120000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

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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