M1730789 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	17.1678	68.6567%	3642200	123456789	0.8000	8.6264%	17.9678	71.3605%	2.7038%
PrimeNet	2⁵⁷	0.0111	63.1579%	8000	140000	0.0012	2.7966%	0.0123	64.1882%	1.0303%
GPU72	2⁶¹	0.1775	65.5738%	7000	110000	0.0010	1.3455%	0.1785	66.0370%	0.4632%
Difference	+6	+16.9904	+3.0829%	+3635200	+123346789	+0.7990	+7.2810%	+17.7894	+5.3236%	+5.3236%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1730789	183109271369597298524167	24	77.277	52897629742735047 3 × 129763 × 135882672623	2020-05-18	129763	135882672623	24,908	582.37	1,087.7
1730789	338309737791409255358103809	27	88.128	97732807925001041536 2⁷ × 1297 × 3559 × 12541 × 13189559	2015-09-15	12541	13189559	39,636,082	0.0575	0.1056

exponent	prime factors	composite factor	digits	bits*
1730789	183109271369597298524167 338309737791409255358103809	61947649584224463963399381129770044363199281252103	50	165.406

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-09T16:50:00	Carsten Kossendey	leela	90000	1530000		-		-	-	0.013	-	-	2.367%
2014-04-04T00:13:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.886%
2014-05-04T19:08:00	Jocelyn Larouche	Manual testing	137084	137084		-		-	-	0.011	-	-	1.059%
2014-09-10T00:51:00	Jocelyn Larouche	Manual testing	174168	174168		-		-	-	0.014	-	-	1.203%
2014-12-02T21:55:00	Jocelyn Larouche	Manual testing	211252	211252		-		-	-	0.017	-	-	1.328%
2015-01-27T21:58:00	Jocelyn Larouche	Manual testing	255614	255614		-		-	-	0.020	-	-	1.459%
2015-01-29T22:02:00	Jocelyn Larouche	Manual testing	281175	281175		-		-	-	0.022	-	-	1.527%
2015-02-06T22:00:00	Jocelyn Larouche	Manual testing	562350	562350		-		-	-	0.044	-	-	2.079%
2015-03-29T20:50:00	Jocelyn Larouche	Manual testing	618585	618585		-		-	-	0.049	-	-	2.162%
2015-04-08T16:59:00	Jocelyn Larouche	Manual testing	680443	680443		-		-	-	0.054	-	-	2.248%
2015-05-01T17:21:00	Jocelyn Larouche	Manual testing	823335	823335		-		-	-	0.065	-	-	2.424%
2015-05-22T00:28:00	Jocelyn Larouche	Manual testing	905668	905668		-		-	-	0.071	-	-	2.515%
2015-06-08T13:42:00	Jocelyn Larouche	Manual testing	996234	996234		-		-	-	0.078	-	-	2.608%
2015-06-25T21:14:00	Jocelyn Larouche	Manual testing	1095857	1095857		-		-	-	0.086	-	-	2.702%
2015-07-07T18:13:00	Jocelyn Larouche	Manual testing	1205442	1205442		-		-	-	0.095	-	-	2.799%
2015-07-13T12:24:00	Jocelyn Larouche	Manual testing	1325986	1325986		-		-	-	0.104	-	-	2.897%
2015-07-21T01:20:00	Jocelyn Larouche	Manual testing	1458584	1458584		-		-	-	0.115	-	-	2.997%
2015-07-31T12:12:00	Jocelyn Larouche	Manual testing	1604442	1604442		-		-	-	0.126	-	-	3.099%
2015-09-15T01:38:00	mikr	MSI	3642200	123456789	12		338309737791409255358103809	27	88.128	0.800	0.188	1.600	8.626%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-11-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.011	-	-
2003-02-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2010-04-22T12:47:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.089	-	-
2010-11-18T02:51:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.922	-	-
2015-05-04T17:37:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.134	-	-
2015-05-04T17:37:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.159	-	-
2015-09-02T13:37:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.318	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.231 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	17.231 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.097	0.030%
25	50000	0.732	48.105%
30	250000	0.045	95.594%
35	1000000	0.002	99.794%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		201	13.80
50000	5000000	183109271369597298524167	50	3.432

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-11T10:04:00	James Heinrich	Q6600	50000	5000000						3	0.206
2009-09-30T05:40:00	ekrumme	nuanceH2	50000	5000000						3	0.206
2010-08-04T05:35:00	SubPrime	abd0	50000	5000000						3	0.206
2011-12-12T02:45:00	Bud	annan	50000	5000000						3	0.206
2013-05-05T13:36:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-04T18:34:00	Sara	Sara	50000	5000000						3	0.206
2014-11-14T23:18:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-07-13T23:59:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2020-05-18T10:35:22	TJAOI	Manual testing	50000	5000000	183109271369597298524167	77.277	50	2		50	3.432
2020-05-18T10:35:22	TJAOI	Manual testing	50000	5000000						177	12.15

date	userid	compid	res64	spent (GHz-days)
1998-12-06T00:00:00	ANONYMOUS	v4_computers	C33F1FFA7381B5D4	0.094
2015-07-10T01:01:00	MadPoo	Manual testing	C33F1FFA7381B5D4	0.094

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30T15:28:28

alpertron

Manual testing

338309737791409255358103809

B4897EF60B0D1E__

2017-10-19T08:24:19

Oliver Kruse

GTX-0

338309737791409255358103809

B4897EF60B0D1E__

2020-05-18T23:39:38

CrypticClue

cruncher

183109271369597298524167

338309737791409255358103809

35BC1A581FB0DF__

2020-05-19T20:50:58

marssystems

system03

183109271369597298524167

338309737791409255358103809

35BC1A581FB0DFC2

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 = 3642200, B2 = 123456789 (P-1 stage 2)

B1 = 3642200 (P-1 stage 1)

B1 = 1604442 (P-1 stage 1)

B1 = 1458584 (P-1 stage 1)

B1 = 1325986 (P-1 stage 1)

B1 = 1205442 (P-1 stage 1)

B1 = 1095857 (P-1 stage 1)

B1 = 996234 (P-1 stage 1)

B1 = 905668 (P-1 stage 1)

B1 = 823335 (P-1 stage 1)

B1 = 680443 (P-1 stage 1)

B1 = 618585 (P-1 stage 1)

B1 = 562350 (P-1 stage 1)

B1 = 281175 (P-1 stage 1)

B1 = 255614 (P-1 stage 1)

B1 = 211252 (P-1 stage 1)

B1 = 174168 (P-1 stage 1)

B1 = 90000, B2 = 1530000 (P-1 stage 2)

B1 = 137084 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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