M30133 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	986.0922	77.6119%	200000000	5000000000	0.3686	12.3280%	986.4609	80.3719%	2.7600%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	4.1081%	0.0000	64.0405%	1.5405%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.7609%	0.0001	66.5094%	0.6003%
Difference	+23	+986.0922	+11.7028%	+199999500	+4999990000	+0.3686	+10.5671%	+986.4608	+13.8626%	+13.8626%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
30133	180799	6	17.464	3 3	-	1	3	5.798e-13	8.857e-10	1.626e-9
30133	85276391	8	26.346	1415 5 × 283	2008-08-26	5	283	3.876e-10	1.609e-8	2.289e-8
30133	121765765553	12	36.825	2020472 2³ × 252559	2008-08-26	8	252559	4.046e-7	1.100e-5	2.053e-5
30133	3453944501561	13	41.651	57311660 2² × 5 × 7 × 409369	2008-08-26	7	409369	1.090e-5	1.782e-5	3.327e-5
30133	50285320755629066287265366203906273	35	115.276	834389552245529258408810377392 2⁴ × 3 × 61 × 137 × 157 × 331 × 43487 × 920428639250693	2017-09-18	43487	920428639250693	5.898e+12	40,053	74,808

exponent	prime factors	composite factor	digits	bits*
30133	180799 85276391	15417886216409	14	43.810
30133	180799 121765765553	22015128646216847	17	54.289
30133	180799 3453944501561	624469711937727239	18	59.115
30133	85276391 121765765553	10383745033711959223	20	63.171
30133	85276391 3453944501561	294539921807415946351	21	67.997
30133	121765765553 3453944501561	420572196410150168528233	24	78.477
30133	180799 85276391 121765765553	1877370718350088515559177	25	80.635
30133	180799 85276391 3453944501561	53252523322858995684314449	26	85.461
30133	180799 121765765553 3453944501561	76039032538758740319735998167	29	95.941
30133	85276391 121765765553 3453944501561	35864879064800762140129491847103	32	104.822
30133	180799 85276391 121765765553 3453944501561	6484334270036912994173271996464375297	37	122.286
30133	180799 50285320755629066287265366203906273	9091535707296979555671290944300050252127	40	132.740
30133	85276391 50285320755629066287265366203906273	4288150674317439707677759689162497063700743	43	141.621
30133	121765765553 50285320755629066287265366203906273	6123030577887333690567450730681540830904013969	46	152.101
30133	3453944501561 50285320755629066287265366203906273	173682707133136243242572604114889186788146192153	48	156.927
30133	180799 85276391 50285320755629066287265366203906273	775293353765918781708431274040890306620030633657	48	159.085
30133	180799 121765765553 50285320755629066287265366203906273	11070378054514520439209045246564919006866148215812 31	52	169.565
30133	180799 3453944501561 50285320755629066287265366203906273	31401659766963899642013884251367850082110043395070 247	53	174.391
30133	85276391 121765765553 50285320755629066287265366203906273	52214994966487622174430294038283477237863557868990 5879	54	178.447
30133	85276391 3453944501561 50285320755629066287265366203906273	14811034443423815335024729234389499214217988847200 359823	56	183.273
30133	121765765553 3453944501561 50285320755629066287265366203906273	21148607797383828552282276221234279795020234313191 886305609	59	193.752
30133	180799 85276391 121765765553 50285320755629066287265366203906273	94404188749459956015148227318276144011284933991556 293017321	59	195.911
30133	180799 85276391 3453944501561 50285320755629066287265366203906273	26778202163365823887571360208483870684313981655849 77855638577	61	200.737
30133	180799 121765765553 3453944501561 50285320755629066287265366203906273	38236471411591988184240832585229365526598633435907 79852167801591	64	211.216
30133	85276391 121765765553 3453944501561 50285320755629066287265366203906273	18034769476353521407013873294119769464035453542033 67754624658577119	67	220.098
30133	180799 85276391 121765765553 3453944501561 50285320755629066287265366203906273	32606682865552403168667012777035601993281459649461 4686668383646084538081	72	237.562

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-10-06T09:36:58	kkmrkkblmbrbk	Manual testing	200000000	5000000000	12	-	skipped known factor: 180799 skipped known factor: 85276391 skipped known factor: 121765765553 skipped known factor: 3453944501561	-	-	0.369	-	-	12.328%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26T19:59:00	ANONYMOUS	Manual testing	?	?	121765765553	36.825	12	1.00744e-7	3.82626e-5	2.32236e-7
2008-08-26T19:59:00	ANONYMOUS	Manual testing	?	?	3453944501561	41.651	13	1.17841e-6	3.40093e-5	2.41453e-6
2008-08-26T19:59:00	ANONYMOUS	Manual testing	?	?	85276391	26.346	8	9.08690e-11	3.88696e-5	2.12796e-10

ECM factoring results:

Old Calculation Method

Total ECM effort:	23.489 GHz-days
Estimated T-Level:	31.994

Digits	B1	Curves	Complete	FacMiss
20	11000	1499 / 100	14.990	0.000%
25	50000	1499 / 280	5.354	0.469%
30	250000	1214 / 640	1.897	14.981%
35	1000000	630 / 1580	0.399	67.108%
40	3000000	619 / 4700	0.132	87.659%

New Calculation Method

Total ECM effort:	23.489 GHz-days
Estimated T-Level:	31.994

Digits	B1	Complete	FacMiss
20	11000	183.232	0.000%
25	50000	37.658	0.000%
30	250000	6.591	0.137%
35	1000000	0.967	38.010%
40	3000000	0.121	88.643%
45	11000000	0.013	98.703%
50	44000000	0.001	99.875%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		285	0.164
250000	25000000		584	1.678
1000000	100000000		11	0.126
3000000	300000000		424	14.62
3000000	300000000	50285320755629066287265366203906273	76	2.620
3000000	339000000		91	3.270
3000000	340272831		7	0.252
3000000	340272832		7	0.252
3000000	345407014		7	0.253
3000000	348000000		7	0.254

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-29T23:56:00	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.017
2010-04-13T14:07:00	James Hintz	OMFG	50000	5000000						11	0.006
2010-04-19T03:06:00	James Hintz	home2	50000	5000000						101	0.058
2010-04-20T15:07:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-20T16:17:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-20T17:33:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-20T18:57:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-20T20:22:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-20T21:29:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-20T22:31:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-20T23:34:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-21T00:36:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-21T01:38:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-21T02:41:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-21T03:43:00	James Hintz	05_122109	50000	5000000						11	0.006
2010-04-21T04:45:00	James Hintz	05_122109	50000	5000000						11	0.006
2011-01-19T15:36:00	James Hintz	NEW_OMFG	250000	25000000						11	0.032
2011-03-18T11:12:00	James Hintz	17_051310	250000	25000000						11	0.032
2014-12-10T09:28:00	James Hintz	08_04_2014	250000	25000000						562	1.615
2014-12-10T09:59:00	James Hintz	08_04_2014	1000000	100000000						11	0.126
2017-09-18T17:25:41	nordi	nordiputer	3000000	300000000	50285320755629066287265366203906273	115.276	76	2		76	2.620
2017-09-22T20:06:29	nordi	nordiputer	3000000	300000000						424	14.62
2022-05-14T12:05:33	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T12:11:20	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T12:16:57	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T12:19:31	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T12:24:11	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T12:43:49	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T12:57:20	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T13:04:09	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T13:37:47	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T13:44:45	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T14:18:15	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T14:25:39	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T15:02:41	Luminescence	Tyrant	3000000	340272831						7	0.252
2022-05-14T15:43:00	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T15:52:39	Luminescence	Tyrant	3000000	340272832						7	0.252
2022-05-15T04:50:19	Luminescence	Tyrant	3000000	345407014						7	0.253
2022-05-15T05:22:49	Luminescence	Tyrant	3000000	348000000						7	0.254

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21T19:40:13

Oliver Kruse

PRP

180799

85276391

121765765553

3453944501561

50285320755629066287265366203906273

133B9D868908A58F

2017-09-21T20:27:21

Oliver Kruse

Manual testing

180799

85276391

121765765553

3453944501561

50285320755629066287265366203906273

133B9D868908A58F

2017-10-02T10:34:10

kkmrkkblmbrbk

Manual testing

180799

85276391

121765765553

3453944501561

50285320755629066287265366203906273

133B9D868908A5__

2017-12-07T03:12:28

ATH

xps

180799

85276391

121765765553

3453944501561

50285320755629066287265366203906273

133B9D868908A5__

2020-04-17T13:47:23

Oliver Kruse

Manual testing

180799

85276391

121765765553

3453944501561

50285320755629066287265366203906273

888C2622727A44__

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