M30689 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	unknown	200000000	5000000000	0.3686	48.8693%	0.3686	48.8693%	48.8693%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	4.1273%	0.0000	64.0477%	1.5477%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.7704%	0.0001	66.5126%	0.6035%
Difference	-44	-0.0001	-65.9091%	+199999500	+4999990000	+0.3686	+47.0990%	+0.3685	-17.6433%	-17.6433%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
30689	294829586050871	15	48.067	4803505915 5 × 13 × 29 × 2548279	-	29	2548279	0.0023	0.0001	0.0002
30689	303832520474421807191	21	68.042	4950186067881355 5 × 7 × 337 × 619 × 678005051	2009-03-30	619	678005051	3,432.7	0.0295	0.0551
30689	17859882775278818064140021832983	32	103.816	290981830220580958391280619 31 × 9386510652276805109396149	2017-07-26	31	9386510652276805109396149	5.143e+12	4.085e+14	7.629e+14

exponent	prime factors	composite factor	digits	bits*
30689	294829586050871 303832520474421807191	89578816240266569152548664679613361	35	116.109
30689	294829586050871 17859882775278818064140021832983	5265621845552535061080932836790206085703678193	46	151.883
30689	303832520474421807191 17859882775278818064140021832983	54264131989906748575163738712620493164339912303807 53	52	171.858
30689	294829586050871 303832520474421807191 17859882775278818064140021832983	15998671571994033519480161173621227526807883415571 01597238957285863	67	219.925

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-10-06T09:36:59	kkmrkkblmbrbk	Manual testing	200000000	5000000000	12	-	skipped known factor: 294829586050871 skipped known factor: 303832520474421807191	-	-	0.369	-	-	41.218%

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.197 GHz-days
Estimated T-Level:	31.706

Digits	B1	Curves	Complete	FacMiss
20	11000	1367 / 100	13.670	0.000%
25	50000	1367 / 280	4.882	0.751%
30	250000	1124 / 640	1.756	17.245%
35	1000000	539 / 1580	0.341	71.088%
40	3000000	528 / 4700	0.112	89.373%

New Calculation Method

Total ECM effort:	20.197 GHz-days
Estimated T-Level:	31.706

Digits	B1	Complete	FacMiss
20	11000	163.760	0.000%
25	50000	33.214	0.000%
30	250000	5.742	0.321%
35	1000000	0.835	43.371%
40	3000000	0.104	90.163%
45	11000000	0.011	98.888%
50	44000000	0.001	99.893%

ECM Summary

B1	B2	factor	curves	GHz-days
		303832520474421807191	1	0.00000e+0
50000	5000000		243	0.140
250000	25000000		585	1.681
1000000	100000000		11	0.126
3000000	300000000		498	17.17
3000000	300000000	17859882775278818064140021832983	2	0.069
3000000	339000000		14	0.503
3000000	345831327		7	0.253
3000000	348000000		7	0.254

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-30T14:39:00	Matthias Wurtinger	AMD_Funzel	50000	5000000						25	0.014
2009-03-30T14:39:00	Matthias Wurtinger	AMD_Funzel			303832520474421807191	68.042		1		1	-
2010-04-13T14:39:00	James Hintz	NEW_OMFG	50000	5000000						11	0.006
2010-04-13T14:41:00	James Hintz	NEW_OMFG	50000	5000000						11	0.006
2010-04-13T21:02:00	James Hintz	NEW_OMFG	50000	5000000						11	0.006
2010-04-13T21:06:00	James Hintz	NEW_OMFG	50000	5000000						11	0.006
2010-04-13T21:07:00	James Hintz	NEW_OMFG	50000	5000000						11	0.006
2010-04-21T08:27:00	James Hintz	home2	50000	5000000						163	0.094
2011-01-19T16:35:00	James Hintz	NEW_OMFG	250000	25000000						11	0.032
2011-03-17T20:09:00	James Hintz	17_051310	250000	25000000						11	0.032
2014-12-16T20:29:00	James Hintz	08_04_2014	250000	25000000						563	1.618
2014-12-16T21:03:00	James Hintz	08_04_2014	1000000	100000000						11	0.126
2017-07-26T16:23:43	nordi	nordiputer	3000000	300000000	17859882775278818064140021832983	103.816	2	2		2	0.069
2017-08-10T16:47:57	nordi	nordiputer	3000000	300000000						498	17.17
2022-05-14T15:11:40	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-14T15:52:26	Luminescence	Tyrant	3000000	339000000						7	0.252
2022-05-15T04:50:11	Luminescence	Tyrant	3000000	345831327						7	0.253
2022-05-15T05:21:14	Luminescence	Tyrant	3000000	348000000						7	0.254

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21T19:40:53

Oliver Kruse

PRP

294829586050871

303832520474421807191

17859882775278818064140021832983

4B5DD57126C4D236

2017-09-21T20:27:22

Oliver Kruse

Manual testing

294829586050871

303832520474421807191

17859882775278818064140021832983

4B5DD57126C4D236

2017-10-02T10:35:42

kkmrkkblmbrbk

Manual testing

294829586050871

303832520474421807191

17859882775278818064140021832983

4B5DD57126C4D2__

2017-12-07T03:12:40

ATH

xps

294829586050871

303832520474421807191

17859882775278818064140021832983

4B5DD57126C4D2__

2020-04-17T13:47:27

Oliver Kruse

Manual testing

294829586050871

303832520474421807191

17859882775278818064140021832983

A0B58789770076__

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 = 200000000, B2 = 5000000000 (P-1 stage 2)

B1 = 200000000 (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