M1755877 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	33.9459	69.1176%	1755877	193146470	0.9584	8.0045%	34.9043	71.5896%	2.4720%
PrimeNet	2⁵⁷	0.0109	63.1579%	8000	140000	0.0012	2.8043%	0.0121	64.1910%	1.0331%
GPU72	2⁶¹	0.1749	65.5738%	8000	110000	0.0011	1.4137%	0.1760	66.0604%	0.4867%
Difference	+7	+33.7710	+3.5439%	+1747877	+193036470	+0.9573	+6.5909%	+34.7283	+5.5292%	+5.5292%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1755877	3594595579284746470751	22	71.606	1023589801359875 5³ × 17 × 481689318287	2020-07-08	125	481689318287	429.98	2,064.4	3,855.7

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-02T14:15:00	Carsten Kossendey	leela	95000	1567500		-		-	-	0.014	-	-	2.137%
2014-04-08T23:01:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.770%
2014-05-06T21:05:00	Jocelyn Larouche	Manual testing	136554	136554		-		-	-	0.011	-	-	0.923%
2014-09-17T22:20:00	ANONYMOUS	Manual testing	173108	173108		-		-	-	0.014	-	-	1.052%
2015-04-26T01:58:00	Squeeky_Squirrel	P4_2600	130000	3640000		-		-	-	0.025	-	-	2.773%
2015-07-06T11:31:00	mikr	MSI	3642200	123456789		-		-	-	0.800	-	-	7.977%
2018-10-02T11:45:35	Jocelyn Larouche	low 4M	1755877	140470160	12	-		-	-	0.733	-	-	7.646%
2018-10-03T11:47:46	Jocelyn Larouche	low 4M	1755877	158028930	12	-		-	-	0.808	-	-	7.778%
2018-10-07T10:38:36	Jocelyn Larouche	low 4M	1755877	175587700	12	-		-	-	0.883	-	-	7.897%
2018-10-19T02:38:28	Jocelyn Larouche	low 4M	1755877	193146470	12	-		-	-	0.958	-	-	8.005%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.066	-	-
2010-04-22T11:32:00	Architects Cubed	i4l_1	2⁶⁰	2⁶¹		-	-	0.087	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.175	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.909	-	-
2016-02-23T16:28:50	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.559	-	-
2015-05-13T22:52:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.118	-	-
2015-05-13T22:52:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.128	-	-
2015-09-06T20:47:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	4.256	-	-
2018-05-28T14:40:34	TJAOI	Manual testing	2⁶⁶	2⁶⁷		-	-	8.512	-	-
2019-06-17T12:15:04	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	17.02	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.945 GHz-days
Estimated T-Level:	24.661

Digits	B1	Curves	Complete	FacMiss
20	11000	261 / 100	2.610	7.257%
25	50000	261 / 280	0.932	39.305%

New Calculation Method

Total ECM effort:	17.945 GHz-days
Estimated T-Level:	24.661

Digits	B1	Complete	FacMiss
20	11000	8.419	0.022%
25	50000	0.761	46.723%
30	250000	0.047	95.422%
35	1000000	0.002	99.786%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		260	17.88
50000	5000000	3594595579284746470751	1	0.069

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-29T06:41:00	paulie	iMac3.4	50000	5000000						3	0.206
2009-06-27T15:56:00	SubPrime	abd1	50000	5000000						3	0.206
2010-08-26T15:18:00	James Classen	towerofart	50000	5000000						3	0.206
2012-01-16T14:31:00	Lukasz Wrobel	i-2	50000	5000000						3	0.206
2013-05-23T16:44:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-14T21:27:00	Bruce	snowflake	50000	5000000						3	0.206
2015-01-01T21:57:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-08-20T01:55:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-01-01T12:19:40	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2016-03-16T18:00:29	Bruce	DESK3	50000	5000000						3	0.206
2016-05-03T12:55:30	Bruce	DESK3	50000	5000000						3	0.206
2016-07-31T02:49:38	Bruce	DESK3	50000	5000000						3	0.206
2016-10-06T14:59:50	Bruce	DESK3	50000	5000000						3	0.206
2016-12-04T15:50:32	Bruce	DESK3	50000	5000000						3	0.206
2017-01-31T09:34:06	Bruce	DESK3	50000	5000000						3	0.206
2017-09-10T16:35:02	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2017-12-27T03:18:59	Bruce	DESK3	50000	5000000						3	0.206
2018-02-19T16:41:37	Bruce	DESK3	50000	5000000						3	0.206
2019-11-17T09:00:23	George Woltman	colab	50000	5000000						3	0.206
2019-11-18T14:45:34	mnd9	50871	50000	5000000						3	0.206
2019-11-19T17:21:01	George Woltman	colab	50000	5000000						3	0.206
2019-11-22T11:57:30	Sergey Nosov	TS140-02	50000	5000000						3	0.206
2019-11-24T15:09:00	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2019-11-27T02:00:44	penlu	grizzly	50000	5000000						3	0.206
2019-11-30T05:52:10	Alvin Bunk	i7-Core	50000	5000000						3	0.206
2019-12-04T08:35:44	Alvin Bunk	BADCAT	50000	5000000						3	0.206
2019-12-08T11:52:15	mnd9	50871b	50000	5000000						3	0.206
2019-12-12T09:52:35	Idgo	Pentium_Desktop	50000	5000000						3	0.206
2019-12-17T12:28:34	J.R. Allen	lapacer	50000	5000000						3	0.206
2019-12-29T06:13:19	Keysarecool	HPLaptop	50000	5000000						3	0.206
2019-12-29T20:56:32	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2020-01-02T16:29:51	TheJudger	myECM	50000	5000000						3	0.206
2020-01-08T17:36:58	George Woltman	colab	50000	5000000						3	0.206
2020-01-20T03:01:01	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2020-01-22T16:54:33	mnd9	221Lb	50000	5000000						3	0.206
2020-01-30T04:46:12	Alvin Bunk	BADCAT	50000	5000000						3	0.206
2020-02-08T05:49:53	mnd9	kitchen	50000	5000000						3	0.206
2020-02-15T14:42:58	EricP	Cannonfodder	50000	5000000						3	0.206
2020-02-23T02:59:50	Keysarecool	Boat_Anchor	50000	5000000						3	0.206
2020-02-29T22:53:09	mnd9	kitchen	50000	5000000						3	0.206
2020-03-07T00:30:40	CrypticClue	cruncher	50000	5000000						3	0.206
2020-03-14T16:20:06	mnd9	75201b	50000	5000000						3	0.206
2020-03-22T06:18:04	EricP	Cannonfodder	50000	5000000						3	0.206
2020-04-03T15:03:25	mnd9	221Rb	50000	5000000						3	0.206
2020-04-18T04:39:10	nranks	wlaptop	50000	5000000						3	0.206
2020-04-26T19:57:02	mnd9	25836b	50000	5000000						3	0.206
2020-05-05T12:03:50	mnd9	27016b	50000	5000000						3	0.206
2020-05-17T06:07:30	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.206
2020-06-04T23:37:48	Nesowa	entropy_generator_2	50000	5000000						3	0.206
2020-07-01T06:55:47	ANONYMOUS	TimeVampireTheFifth	50000	5000000						3	0.206
2020-07-02T03:08:58	debrouxl	8rd	50000	5000000						3	0.206
2020-07-08T15:32:41	GAN	LMS-16	50000	5000000	3594595579284746470751	71.606	1	2	2340966118462165	1	0.069
2020-07-27T11:05:33	TJAOI	Manual testing	50000	5000000						107	7.357

date	userid	compid	res64	spent (GHz-days)
1999-03-26T00:00:00	ANONYMOUS	v4_computers	553562E843572DE4	0.095
2015-07-18T19:04:00	MadPoo	Manual testing	553562E843572DE4	0.095

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 = 1755877, B2 = 193146470 (P-1 stage 2)

B1 = 1755877, B2 = 175587700 (P-1 stage 2)

B1 = 1755877, B2 = 158028930 (P-1 stage 2)

B1 = 3642200, B2 = 123456789 (P-1 stage 2)

B1 = 1755877, B2 = 140470160 (P-1 stage 2)

B1 = 3642200 (P-1 stage 1)

B1 = 1755877 (P-1 stage 1)

B1 = 130000, B2 = 3640000 (P-1 stage 2)

B1 = 95000, B2 = 1567500 (P-1 stage 2)

B1 = 173108 (P-1 stage 1)

B1 = 136554 (P-1 stage 1)

B1 = 130000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

10²

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