M1939787 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	2⁶⁸	30.7275	69.1176%	8000000	320000000	1.9665	9.7484%	32.6940	72.1282%	3.0105%
PrimeNet	2⁵⁸	0.0198	63.7931%	8000	140000	0.0012	2.4643%	0.0210	64.6853%	0.8922%
GPU72	2⁶²	0.3167	66.1290%	8000	90000	0.0010	1.1518%	0.3177	66.5192%	0.3901%
Difference	+6	+30.4108	+2.9886%	+7992000	+319910000	+1.9655	+8.5966%	+32.3763	+5.6090%	+5.6090%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1939787	2141977333066081431746808449	28	90.791	552116632667937621952 2⁶ × 37² × 79 × 2617 × 30480114529	2020-01-08	2617	30480114529	130,718,352	130.63	243.98

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-28T06:12:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.554%
2015-10-08T11:52:18	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	4.632%
2016-12-16T01:10:43	Jocelyn Larouche	low 4M	568903	568903		-		-	-	0.045	-	-	1.892%
2016-12-18T04:24:52	Jocelyn Larouche	low 4M	682683	682683		-		-	-	0.054	-	-	2.042%
2016-12-24T21:06:39	Jocelyn Larouche	low 4M	819219	819219		-		-	-	0.064	-	-	2.200%
2017-01-04T23:07:22	Jocelyn Larouche	low 4M	983062	983062		-		-	-	0.077	-	-	2.363%
2017-01-22T06:40:05	Jocelyn Larouche	low 4M	1179674	1179674		-		-	-	0.093	-	-	2.533%
2017-04-13T01:58:13	Jocelyn Larouche	low 4M	1415608	14156080	12	-		-	-	0.166	-	-	5.089%
2018-02-04T03:38:02	Jocelyn Larouche	low 4M	1939787	28312160	12	-		-	-	0.266	-	-	5.978%
2018-02-04T15:09:05	mikr	S067	8000000	320000000	12	-		-	-	1.966	-	-	9.748%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-12-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.059	-	-
2010-01-29T10:30:00	S485122	USB-W	2⁶⁰	2⁶¹		-	-	0.079	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.158	-	-
2011-08-27T22:21:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.823	-	-
2016-02-23T16:28:59	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.506	-	-
2015-05-07T07:03:00	lycorn	Manual testing	2⁶³	2⁶⁴		-	-	1.012	-	-
2015-05-07T07:03:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	1.926	-	-
2015-09-05T13:49:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.852	-	-
2017-12-04T13:35:48	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	7.705	-	-
2019-05-10T20:32:09	chuenkit	Manual testing	2⁶⁷	2⁶⁸		-	-	15.41	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.997 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:	19.997 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.726	0.016%
25	50000	0.777	45.973%
30	250000	0.048	95.300%
35	1000000	0.002	99.779%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		66	4.589
50000	5000000	2141977333066081431746808449	3	0.209
50000	7500000		182	15.20

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-16T20:05:00	Anton Repko	tethys	50000	5000000						3	0.209
2009-08-11T18:25:00	Piepen	T41-2000	50000	5000000						3	0.209
2011-01-02T18:30:00	James Hintz	ryan	50000	5000000						3	0.209
2012-11-21T10:16:00	Donna Noble	PH2x6	50000	5000000						3	0.209
2013-12-17T15:08:00	arnaud	srv-630	50000	5000000						3	0.209
2015-04-07T11:29:00	arnaud	CHAMOT22	50000	5000000						3	0.209
2015-10-14T14:07:20	Chris Smith	starcraft2	50000	5000000						3	0.209
2016-03-18T13:58:19	S36049	Wolle5	50000	5000000						3	0.209
2016-06-22T23:10:53	Bruce	Desk6	50000	5000000						3	0.209
2016-09-24T21:32:17	Bruce	Desk6	50000	5000000						3	0.209
2017-06-02T07:32:55	Bruce	Desk6	50000	5000000						3	0.209
2017-10-01T06:08:55	Bruce	Desk6	50000	5000000						3	0.209
2017-12-30T01:12:40	alphaLONE	7ubuSTEC	50000	5000000						3	0.209
2018-05-17T06:47:20	Bruce	Desk6	50000	5000000						3	0.209
2019-04-11T09:43:57	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.209
2019-12-03T11:17:39	Keysarecool	HPLaptop	50000	5000000						3	0.209
2019-12-07T14:05:56	J.R. Allen	lapacer	50000	5000000						3	0.209
2019-12-13T05:48:30	Claude Portenier	Petit-Idiot	50000	5000000						3	0.209
2019-12-17T11:39:42	Yuji HASEGAWA	sx1w7	50000	5000000						3	0.209
2019-12-23T00:37:10	Alvin Bunk	BADCAT	50000	5000000						3	0.209
2019-12-29T13:08:39	mnd9	50871b	50000	5000000						3	0.209
2020-01-02T12:29:26	daveward2005	Davy	50000	5000000						3	0.209
2020-01-08T13:26:42	Keysarecool	Boat_Anchor	50000	5000000	2141977333066081431746808449	90.791	3	2	686150873592049	3	0.209
2022-03-17T11:24:36	TJAOI	Manual testing	50000	7500000						182	15.20

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	ANONYMOUS	v4_computers	788B45970C947B68	0.105
2015-06-27T00:55:00	MadPoo	Manual testing	788B45970C947B68	0.105

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 = 8000000, B2 = 320000000 (P-1 stage 2)

B1 = 8000000 (P-1 stage 1)

B1 = 1939787, B2 = 28312160 (P-1 stage 2)

B1 = 1415608, B2 = 14156080 (P-1 stage 2)

B1 = 1939787 (P-1 stage 1)

B1 = 1415608 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 1179674 (P-1 stage 1)

B1 = 983062 (P-1 stage 1)

B1 = 819219 (P-1 stage 1)

B1 = 682683 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 568903 (P-1 stage 1)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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