M2667499 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	44.7561	68.1159%	2000000	50000000	0.5169	6.2972%	45.2729	70.1237%	2.0078%
PrimeNet	2⁵⁹	0.0288	62.7119%	11000	200000	0.0024	2.7076%	0.0312	63.7215%	1.0096%
GPU72	2⁶³	0.5983	65.0794%	13000	220000	0.0027	1.6208%	0.6010	65.6454%	0.5660%
Difference	+6	+44.1578	+3.0366%	+1987000	+49780000	+0.5141	+4.6764%	+44.6719	+4.4784%	+4.4784%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-11-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.193%
2003-11-28T00:00:00	Team Prime Rib	v4_computers	15000	213750		-		-	-	0.003	-	-	0.666%
2010-11-19T22:14:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.224%
2010-12-10T06:15:00	markr	tiny	105000	2283750		-		-	-	0.025	-	-	2.262%
2014-11-06T23:05:00	Jocelyn Larouche	Manual testing	129062	129062		-		-	-	0.014	-	-	0.839%
2016-06-09T04:28:05	Jocelyn Larouche	Manual testing	151968	4567500	6	-		-	-	0.044	-	-	2.847%
2016-12-18T19:43:07	Jocelyn Larouche	low 4M	182361	182361		-		-	-	0.020	-	-	1.018%
2017-01-10T10:25:00	Jocelyn Larouche	low 4M	218833	218833		-		-	-	0.025	-	-	1.121%
2017-03-07T20:00:32	Jocelyn Larouche	low 4M	315118	3151180	6	-		-	-	0.053	-	-	2.935%
2018-08-29T01:29:36	Jocelyn Larouche	low 4M	630236	630236		-		-	-	0.071	-	-	1.845%
2018-08-30T21:10:19	Jocelyn Larouche	low 4M	630236	1260472		-		-	-	0.074	-	-	2.405%
2018-09-03T21:22:17	Jocelyn Larouche	low 4M	630236	1890708		-		-	-	0.078	-	-	2.737%
2018-09-04T10:43:05	Jocelyn Larouche	low 4M	630236	2520944		-		-	-	0.082	-	-	2.975%
2019-11-24T14:34:10	masser	Manual testing	2000000	50000000	12	-		-	-	0.517	-	-	6.297%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:18	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.058	-	-
2009-01-31T02:16:00	Sturle Sunde	ghirardelli.ifi	2⁶⁰	2⁶¹		-	-	0.058	-	-
2012-05-18T16:45:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.115	-	-
2013-01-14T11:57:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.368	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.736	-	-
2015-02-23T17:25:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.401	-	-
2016-01-25T14:29:35	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	2.801	-	-
2017-09-08T08:21:19	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	5.603	-	-
2019-04-29T13:20:17	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	11.21	-	-
2021-06-14T11:23:09	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	22.41	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	15.025 GHz-days
Estimated T-Level:	22.554

Digits	B1	Curves	Complete	FacMiss
20	11000	143 / 100	1.430	23.759%
25	50000	143 / 280	0.511	59.952%

New Calculation Method

Total ECM effort:	15.025 GHz-days
Estimated T-Level:	22.554

Digits	B1	Complete	FacMiss
20	11000	5.545	0.391%
25	50000	0.513	59.849%
30	250000	0.032	96.811%
35	1000000	0.002	99.849%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	129	13.34
50000	6750000	7	0.832
50000	7150000	7	0.857

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-06T17:00:00	Never Odd Or Even	Hewl_Pack	50000	5000000						3	0.310
2010-07-21T21:49:00	SubPrime	abd0	50000	5000000						3	0.310
2012-12-07T02:15:00	Donna Noble	q8200v2	50000	5000000						3	0.310
2014-12-09T00:08:00	arnaud	srv-630	50000	5000000						3	0.310
2016-01-25T23:05:06	Jason U	Server7	50000	5000000						3	0.310
2016-04-22T19:25:03	lettp	Home	50000	5000000						3	0.310
2016-09-25T21:03:43	lettp	Home	50000	5000000						3	0.310
2017-07-04T00:06:36	Bruce	eleven	50000	5000000						3	0.310
2017-11-10T07:52:10	Sebastian Hornbostel	V2	50000	5000000						3	0.310
2018-05-26T08:13:12	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2019-07-05T07:42:59	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.310
2020-07-19T01:57:35	GAN	LMS-04	50000	5000000						3	0.310
2020-07-25T07:04:36	GAN	LMS-08	50000	5000000						3	0.310
2020-08-01T20:35:18	rextherunt	ice	50000	5000000						3	0.310
2020-08-09T00:09:45	Ensigma	T470	50000	5000000						3	0.310
2020-08-19T21:26:33	GAN	OSB-02	50000	5000000						7	0.724
2020-09-23T05:00:08	mnd9	25836b	50000	5000000						7	0.724
2020-10-21T04:26:05	mnd9	25836b	50000	5000000						7	0.724
2020-11-23T23:36:59	C.D.B.	i7-6850K	50000	5000000						7	0.724
2020-12-29T20:43:39	Zenzoma	AM3700X_1	50000	5000000						7	0.724
2021-01-29T19:50:55	lycorn	colab_DG	50000	6750000						7	0.832
2021-03-03T03:32:20	Zenzoma	AM3700X_1	50000	5000000						7	0.724
2021-04-08T08:15:26	Zenzoma	AMD3970X	50000	5000000						7	0.724
2021-05-30T10:07:19	kutens	canopus	50000	5000000						7	0.724
2021-08-28T10:08:34	Sergey Nosov	TS140-02	50000	5000000						7	0.724
2021-09-09T01:45:52	Brett Walker	brain	50000	5000000						7	0.724
2021-11-10T12:03:22	GAN	KL-SCH01	50000	5000000						7	0.724
2022-03-02T09:18:32	Claude Portenier	Petit-Idiot	50000	5000000						7	0.724
2022-06-06T23:05:14	Nesowa	6700T	50000	7150000						7	0.857

date	userid	compid	res64	spent (GHz-days)
1999-05-02T00:00:00	ANONYMOUS	v4_computers	1D11A75B7FE2B50F	0.206
2018-07-23T11:34:23	kkmrkkblmbrbk	old	1D11A75B7FE2B50F	0.206

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 = 2000000, B2 = 50000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 630236, B2 = 2520944 (P-1 stage 2)

B1 = 630236, B2 = 1890708 (P-1 stage 2)

B1 = 630236, B2 = 1260472 (P-1 stage 2)

B1 = 630236 (P-1 stage 1)

B1 = 315118, B2 = 3151180 (P-1 stage 2)

B1 = 151968, B2 = 4567500 (P-1 stage 2)

B1 = 315118 (P-1 stage 1)

B1 = 105000, B2 = 2283750 (P-1 stage 2)

B1 = 218833 (P-1 stage 1)

B1 = 182361 (P-1 stage 1)

B1 = 151968 (P-1 stage 1)

B1 = 129062 (P-1 stage 1)

B1 = 105000 (P-1 stage 1)

B1 = 15000, B2 = 213750 (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

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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