M1283 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	2⁶⁷	23,159.7175	83.5821%	1000000000000	2232843418649100000	2,876,234.7953	43.4301%	2,899,394.5128	90.7124%	18.2124%
PrimeNet	2⁴⁰	0.0001	72.5000%	500	10000	0.0000	1.7143%	0.0001	72.9714%	0.4714%
GPU72	2⁴⁴	0.0018	75.0000%	500	10000	0.0000	0.6576%	0.0018	75.1644%	0.1644%
Difference	+23	+23,159.7157	+8.5821%	+999999999500	+2232843418649090000	+2,876,234.7953	+42.7724%	+2,899,394.5109	+15.5480%	+15.5480%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1283	4824675346114250541198242904214396192319	40	131.826	1880232013294719618549588037495867573 11 × 359 × 42284727795787 × 11260061690076886171	2014-04-23	42284727795787	11260061690076886171	1.314e+14	14,505,469	27,090,410

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-02-11T00:00:00	ANONYMOUS	v4_computers	10000	1000000		-		-	-	1.51169e-6	-	-	0.207%
2001-02-11T00:00:00	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	0.000	-	-	3.253%
2001-05-20T00:00:00	ANONYMOUS	v4_computers	3000000000	4290000000		-		-	-	0.073	-	-	9.937%
2017-03-10T02:27:43	ZacHFX	Manual testing	1000000	100000000	12	-		-	-	0.000	-	-	3.253%
2017-04-21T22:54:16	nordi	Manual testing	7974098357	637927868521	12	-		-	-	1.000	-	-	18.316%
2018-12-08T22:33:54	Jocelyn Larouche	Manual testing	10000000000	10000000000		-		-	-	0.236	-	-	11.233%
2018-12-09T12:18:27	Jocelyn Larouche	Manual testing	20000000000	20000000000		-		-	-	0.473	-	-	12.363%
2018-12-09T21:29:41	Jocelyn Larouche	Manual testing	30000000000	30000000000		-		-	-	0.709	-	-	13.033%
2018-12-11T02:09:41	Jocelyn Larouche	Manual testing	62000000000	102000000000	12	-		-	-	1.517	-	-	15.212%
2018-12-11T08:57:10	Jocelyn Larouche	Manual testing	62000000000	200000000000	12	-		-	-	1.644	-	-	16.496%
2018-12-11T22:39:14	Jocelyn Larouche	Manual testing	62000000000	400000000000	12	-		-	-	1.901	-	-	17.789%
2018-12-11T22:39:14	Jocelyn Larouche	Manual testing	62000000000	620000000000	12	-		-	-	2.185	-	-	18.593%
2018-12-12T22:05:12	Jocelyn Larouche	Manual testing	62000000000	1400000000000	12	-		-	-	3.189	-	-	20.058%
2020-11-30T10:43:47	Oliver Kruse	Manual testing	2500000000000	4.0E+14	12	-		-	-	571.1	-	-	30.477%
2021-03-27T16:37:19	nordi	Manual testing	1000000000000	2.2328434186491E+18		-		-	-	2,876,235	-	-	43.430%
unknown			1000000000000	2232843418649100000		-		-	-	2,876,235	-	-	43.430%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-06-01T02:29:21	ZacHFX	5950X	10000000	1010000000	2	7			-	-	0.002

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-01-19T00:00:00	ANONYMOUS	v4_computers	2⁵⁴	2⁵⁵		-	-	1.870	-	-
2000-07-12T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁶		-	-	7.482	-	-

ECM factoring results:

Total ECM effort:	18,961.130 GHz-days
Estimated T-Level:	56.567

Digits	B1	Curves	Complete	FacMiss
20	11000	73124 / 100	731.240	0.000%
25	50000	73124 / 280	261.157	0.000%
30	250000	73124 / 640	114.256	0.000%
35	1000000	73124 / 1580	46.281	0.000%
40	3000000	73124 / 4700	15.558	0.000%
45	11000000	73025 / 9700	7.528	0.054%
50	44000000	73025 / 17100	4.270	1.397%
55	110000000	56684 / 46500	1.219	29.552%
60	260000000	35107 / 112000	0.313	73.092%
65	800000000	25427 / 360000	0.071	93.181%

ECM Summary

B1	B2	factor	curves	GHz-days
44000000	4400000000		14,677	219.7
100000000	10000000000		1,664	56.61
110000000	110000000		99	2.512
110000000	11000000000		21,173	792.4
110000000	11000000000	4824675346114250541198242904214396192319	403	15.08
200000000	2000000000000		1	2.259
260000000	26000000000		9,680	856.3
800000000	80000000000		15	4.083
850000000	85000000000		17,976	5,198
2900000000	290000000000		4,636	4,574
7600000000	760000000000		2,800	7,240

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-12T10:09:00	Carsten Kossendey	durandal	44000000	4400000000						1	0.015
2009-10-13T10:15:00	Carsten Kossendey	durandal	44000000	4400000000						1	0.015
2010-12-15T17:31:00	James Hintz	NEW_OMFG	44000000	4400000000						159	2.380
2010-12-17T02:16:00	James Hintz	NEW_OMFG	44000000	4400000000						9	0.135
2010-12-29T19:57:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2010-12-30T10:01:00	ANONYMOUS	13_052010	44000000	4400000000						3	0.045
2010-12-31T23:16:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-03T16:35:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-04T17:26:00	James Hintz	lappy_010411	44000000	4400000000						3	0.045
2011-01-05T17:35:00	James Hintz	13_052010	44000000	4400000000						3	0.045
2011-01-05T19:16:00	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-08T22:06:00	James Hintz	NEW_OMFG	44000000	4400000000						11	0.165
2011-01-10T09:47:00	James Hintz	17_051310	44000000	4400000000						3	0.045
2011-03-29T08:37:00	Matthias Wurtinger	WUR_E6600	44000000	4400000000						3000	44.91
2011-12-13T19:44:00	Michael Kenn	Manual testing	44000000	4400000000						11472	171.7
2013-04-01T14:15:00	Never Odd Or Even	Manual testing	100000000	10000000000						1664	56.61
2013-05-07T20:55:00	Never Odd Or Even	Note	200000000	2000000000000						1	2.259
2014-06-02T22:27:00	BloodIce	NEDDylator	110000000	11000000000						4	0.150
2014-06-18T13:57:00	Matthias Wurtinger	i5-750	110000000	11000000000						1074	40.19
2014-06-30T16:16:00	Matthias Wurtinger	i5-4670K	110000000	11000000000						352	13.17
2016-04-04T20:16:56	BloodIce	Mjolnir4	110000000	11000000000						100	3.742
2016-08-04T14:55:52	BloodIce	URM2	110000000	11000000000						175	6.549
2016-09-08T08:03:41	kkmrkkblmbrbk	kel1	110000000	11000000000						2000	74.85
2017-03-07T12:06:27	ZacHFX	6700K	110000000	11000000000						65	2.433
2017-03-10T02:27:43	ZacHFX	Manual testing	110000000	11000000000						65	2.433
2017-03-10T02:27:43	ZacHFX	Manual testing	110000000	11000000000	4824675346114250541198242904214396192319	131.826	403	2		403	15.08
2017-03-12T17:08:50	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-13T07:20:30	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-13T20:49:36	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-14T10:30:53	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-15T02:34:19	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-15T02:53:36	ZacHFX	6700K	110000000	11000000000						1000	37.42
2017-03-16T13:52:06	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-16T14:07:37	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-17T02:02:21	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-17T02:54:11	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-17T14:05:08	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-17T15:35:43	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-18T02:06:03	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-18T04:20:44	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-18T14:15:35	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-18T17:06:56	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-19T02:50:10	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-19T06:39:08	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-19T08:01:55	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-19T16:15:29	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-19T19:48:07	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-19T21:11:45	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-20T05:35:56	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-20T09:06:54	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-20T10:30:09	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-20T18:48:42	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-20T22:13:54	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-20T23:39:08	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-22T02:00:07	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-03-22T05:30:03	ZacHFX	6700K	110000000	11000000000						100	3.742
2017-04-21T11:29:48	ZacHFX	6700K	110000000	110000000						99	2.512
2018-05-08T06:21:42	-Anonymous-	6700K	110000000	11000000000						1000	37.42
2018-05-08T17:08:30	-Anonymous-	6700K	110000000	11000000000						88	3.293
2018-05-11T00:15:30	ZacHFX	6700K	110000000	11000000000						350	13.10
2018-11-18T10:08:54	James Hintz	3_1_2018	110000000	11000000000						5000	187.1
2018-12-13T17:39:39	James Hintz	3_1_2018	110000000	11000000000						1000	37.42
2019-01-25T22:04:36	James Hintz	3_1_2018	110000000	11000000000						1000	37.42
2019-03-26T18:38:28	James Hintz	3_1_2018	110000000	11000000000						1000	37.42
2019-06-01T16:43:32	James Hintz	work_5_9_2019	110000000	11000000000						1000	37.42
2019-07-13T01:11:01	James Hintz	work_5_9_2019	110000000	11000000000						1000	37.42
2019-08-29T17:00:55	James Hintz	work_5_9_2019	110000000	11000000000						1000	37.42
2019-10-30T04:48:48	James Hintz	work_5_9_2019	110000000	11000000000						1000	37.42
2019-11-16T04:38:03	Ryan Propper	Manual testing	260000000	26000000000						4140	366.2
2019-11-16T04:38:03	Ryan Propper	Manual testing	850000000	85000000000						3988	1,153
2019-11-16T04:38:03	Ryan Propper	Manual testing	2900000000	290000000000						1036	1,022
2019-11-16T04:38:03	Ryan Propper	Manual testing	7600000000	760000000000						700	1,810
2019-11-19T03:23:56	Ryan Propper	Manual testing	260000000	26000000000						5540	490.0
2019-11-19T03:23:56	Ryan Propper	Manual testing	850000000	85000000000						13988	4,045
2019-11-19T03:23:56	Ryan Propper	Manual testing	2900000000	290000000000						3600	3,552
2019-11-19T03:23:56	Ryan Propper	Manual testing	7600000000	760000000000						2100	5,430
2020-12-01T02:33:20	ZacHFX	2700X	800000000	80000000000						5	1.361
2020-12-01T09:09:58	ZacHFX	2700X	800000000	80000000000						5	1.361
2020-12-01T15:56:51	ZacHFX	2700X	800000000	80000000000						5	1.361

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